[159] Temporarily adopted in Germany also.

[160] Par. 194.1 of the French Infantry Drill Regulations of Dec. 3rd, 1904, states: “The moral effect produced upon an opponent by the fire is much more considerable when the fire is concentrated and delivered suddenly and unexpectedly.” Par. 194.4 states: “The efficacy of the fire, due to its intensity, is augmented when the enemy is taken by surprise,” etc. Par. 195.1 states: “The fire is, as a rule, delivered by ‘rafales,’ which are short, sudden and violent; and, in exceptional cases, by volleys.”

9. REAR SIGHT ELEVATIONS AND POINTS OF AIM.

In Switzerland and Italy the employment of a single rear sight elevation, less than the actual range, is preferred, even when the range is not accurately known. The French regulations are silent on this subject. In Germany one rear sight elevation is used, as a general rule, up to 1,000 m.; beyond that range combined sights may be used in which the two rear sight elevations differ from each other by 100 or 50 m.[161]

[161] See Rohne, Schieszlehre für die Infanterie, p. 93, et seq.

In view of the greater dispersion of fire in action, the author recommends the selection of either one elevation only, or, at the longer ranges, the employment of combined sights, in which the elevations differ from each other by 200 m. In peace time the use of combined sights, by well-trained marksmen, in which rear sight elevations differ by only 50 m. would, indeed, be sufficient to increase the number of hits, but on the battlefield the favorable conditions found on the target range are lacking.

“Rapidly approaching or receding targets are followed by making proper sight corrections, rear sight elevations being less than the range when the fire is delivered against advancing targets and greater than the range when the fire is delivered against receding targets. At short ranges the same result may be obtained by aiming lower or higher. It should be noted that, when firing on cavalry making a mounted attack, the danger space is continuous when the sights are raised to 700 m.” (Par. 192 German I. F. R.). As a general rule, the proper aiming point is the lowest line of the target. When it becomes necessary to aim at the center, to one side of or below a target, its dimensions will serve as a guide. A change in the rear sight elevation is necessary at medium and long ranges to raise or lower the sheaf of fire; at short ranges it is practicable to point higher only when the target is tall. When the velocity of a side wind cannot be estimated, it is advisable to distribute the fire over a broader front. At short ranges the selection of an aiming point may, under favorable circumstances, be left to the discretion of the individual skirmishers.

10. COMMANDS.

In recounting the several commands to be given for firing, the regulations take into consideration the logical sequence of the tasks devolving upon the skirmisher. Thus the first command draws the skirmisher’s attention to the target; the second indicates the range; the third directs him to open fire.

11. THE OBSERVATION OF THE FIRE.

The actions of the enemy are usually the only reliable indication of the location of the sheaf of fire directed against him; the observed strike of bullets is seldom so good an indication. It is especially difficult to judge of the distribution of projectiles from their strike in front and in rear of the target. Suggestions from the subordinate leaders, whose view of the target is generally restricted, are often more confusing than valuable.

12. THE EFFECT OF FIRE.

COMPARISON BETWEEN LOSSES PRODUCED BY INFANTRY AND ARTILLERY FIRE.

In 1866 the Austrian artillery inflicted 16% of our losses. In 1870-71 the French artillery inflicted 8% of our losses. Up to the battle of Liao Yang the 1st Japanese Army suffered the following losses:

  PERCENTAGES. WOUNDS.
Small
arms
fire.
Art’y
fire.
Cutting
weapons.
Serious. Slight. Very
slight.
Guard Div. 88.42 11.50 0.08 32.17 62.49  5.34
2d Div. 89.43  7.91 2.30 44.05 54.89  1.06
12th Div. 80.52 14.48 2.09 39.12 46.36 14.52
Average 86.12 11.30 2.09 38.45 54.58  6.97

The figures given above under the captions “serious” (including killed), “slight,” and “very slight” wounds have, of course, only a relative value. The following figures express the average losses of Russians and Japanese:

Losses through rifle fire 85.9%
Losses through artillery fire 11.4%
Losses through cutting weapons 3.2%

Modern fire tactics count upon a prolonged fire for the purpose of gradually exhausting the enemy, and upon rapid fire, suddenly delivered, for annihilating him.

While a statement of the percentage of hits[162] throws some light upon the effect of the fire of an organization, under normal conditions, the number of figures placed out of action affords a standard of comparison by means of which tactical success may be measured, and aids in deciding how to distribute the fire. Differences in fire effect on like targets are best determined by comparing the number of figures hit per minute by 100 marksmen, as a great number of hits is presupposed, which is not the case when the percentage of hits is taken.

[162] In this connection the following works have been consulted: Das Gefechtsmäszige Abteilungsschieszen der Infanterie, 4th Edition (1905), by Lieutenant-General Rohne, and Schieszlehre für die Infanterie, 2nd Edition (1906), by the same author; also Militär-Wochenblatt No. 46 of 1900. To be sure, absolute trustworthiness cannot be claimed for the figures given, for the conditions of firing in action are variable; but, as obtained by Lieutenant-General Rohne, they serve as an excellent standard of comparison, and, when their relative value is considered, as a basis for tactical deductions.

(a) Influence of Training.

Individual skill in marksmanship is of decisive importance when firing at targets of appropriate size at the short ranges. A good marksman, firing at will, may (not must) expect a hit from each round fired, at any target within 250 m., at a single kneeling opponent within 350 m., at a kneeling file within 500 m., and at a standing file within 600 m. At ranges beyond this, influences, due to the imperfections of the rifle, make themselves felt; and these influences grow to such an extent that the best marksmanship training is unable to eliminate them. A considerable number of rifles must fire in order to produce an effect; for, as some of the pieces fire short and others over, the hits are thus distributed over a greater area. But even here skill in marksmanship is apparent in that the cone of dispersion of the excellent shots produces a shot group of small diameter, that of the poorer shots one of very large diameter. Lieutenant-General Rohne computed (Schieszlehre für die Infanterie, p. 84) that when firing rifle model ’98 with the appropriate elevation at a target 1 m. high, the marksmen named in the following table would obtain the number of hits given at the ranges indicated:

Range. Number of Hits Obtained by
Excellent
shots
Fair shots Poor shots
Out of 100 rounds fired.
1000 m. 27.  17.6 8.9
1500 m. 14.2  9.7 4.8

This ratio changes, however, very seriously to the disadvantage of the excellent marksmen when the appropriate elevation is not used. The figure given below, in which the curves of hits are traced, shows that even poor shots may obtain better results in this case.

From this may be deduced the great importance of quickly and accurately ascertaining the range. The excellent ballistic qualities of our rifle and our thorough marksmanship training can assert themselves fully only when the range has been accurately determined. At ranges over 800 m. too great an accuracy in collective fire may be actually detrimental. In this case individual accuracy matters little; the important thing is to direct the densest portion of the sheaf of fire, with some degree of accuracy, on a target the range to which is known only in a general way. The importance of training soldiers in precise marksmanship is ethical rather than practical, for a good target shot need not necessarily be a battle marksman. For the latter a cool head is of more value than all the marksmanship skill of the target range.

(b) Influence of the Error in Estimating the Range.

At short ranges an error of estimation is offset by the flatness of the trajectory. Lieutenant-General Rohne used a probable error in estimation of 18 (12.5%) of the range in his computations. The Swiss Firing Regulations of 1905 count on an error of 100 m. at 500 m., 200 m. at 500 to 1,000 m., 300 m. at ranges over 1,000 m., and the average is taken to be 15 of the range, or 20%. For measurements with range finding instruments see p. 146, supra.

Charts

In the following table, the number of hits per 100 rounds fired, at a target 1 m. high, by the marksmen named, is shown under—

“a” When the fire is controlled and the appropriate elevation is used;

“b” When each skirmisher has selected the elevation corresponding to his estimate of the range. In this case it is presumed, however, that the ranges are generally estimated correctly. (Rohne, Schieszlehre für die Infanterie, 2nd Edition, p. 102).

Range. Excellent
shots.
Fair shots. Poor shots.
m. a b a b a b
 400 65.1 58.5 50.4 47.8 26.6 26.4
 600 46.6 32.9 32.9 26.6 16.9 15.8
 800 35.2 15.5 23.3 13.9 11.8  9.7
1000 27.   7.5 17.6  7.   8.9  5.9
1200 20.5  4.  13.6  3.9  6.8  3.5
1400 16.1  2.4 10.8  2.4  5.4  2.2
1600 12.5  1.5  8.7  1.5  4.4  1.4

The above table shows that when the elevation selected is in error, the number of hits decreases more rapidly the greater the skill of the marksman; and that an error in estimation is of less importance than marksmanship only at ranges under 800 m.

DIFFERENCE BETWEEN “a” AND “b.”

Range. Excel-
lent
shots.
Fair
shots.
Poor
shots.
m.      
 400  6.6  2.6 0.4
 600 13.7  6.3 1.1
 800 19.8  9.4 2.1
1000 19.5 10.6 3.0
1200 16.4  9.7 3.3
1400 13.3  8.4 3.2
1600 11.   7.2 2. 

(c) Fire Effect as Regards Time. Number of Rounds to be Expended.

The greater the losses inflicted within a short period of time in a limited space, the greater the moral effect of the fire. It should therefore be the aim of the officer charged with fire direction to bring about a decisive effect within the shortest possible time. The leaders must bear in mind from the beginning of the fire fight that the ammunition carried is limited and that the expenditure of a certain amount is equivalent to a loss of power, and this is permissible only where commensurate results would be achieved. When once a decision has been formed to fire on a target, the ammunition necessary to accomplish the object of the fight must be expended without stinting, since ineffective fire impairs the morale of one’s own troops and raises that of the enemy.

When the enemy is approximately equal to us in numbers, and is deployed in line at one man per meter of front, presenting breast targets only, the number of rounds per rifle, given in round figures in the following table, will be required to place about one-third of the enemy’s force out of action:[163]

At a range of  300 m.  3  rounds,
 400  5  
 500  6  
 600  7.5
 700 10  
 800 13  
 900 16  
1000 25  
1100 45  
1200 50  
1300 57  
1400 63  
1500 72  
1600 80  

[163] According to Rohne, Schieszlehre für die Infanterie, 2nd Edition, p. 214.

In the above table it is assumed that an error of estimation of 7.5% was made and that at ranges over 1000 m. two elevations were used. Against head targets, approximately twice the number of rounds indicated above must be expended; and against exposed skirmishers, visible at full height, about half of the number of rounds given. The efficacy is increased when the fire comes from a flank. The following data are taken from an extended firing test: At 600-700 m., 200 skirmishers, firing 5000 rounds against 200 body targets, obtained 4.3% hits and placed 43% of the figures out of action; under the enfilading fire delivered by one platoon, the percentage of hits rose to 10.5%, and the number of incapacitated figures to 80%.

(d) Additional Influences Affecting Accuracy of Fire.

Errors in setting the sight, in pointing, aiming, and pulling the trigger, increase the area of the beaten zone at the expense of fire effect on the actual target selected. When we consider the excitement of men in action, and the numerous sources of error in setting the sights, in pointing and firing, it is clear that we have to reckon with the effect of misses on the field of battle more than with the really well aimed and well delivered collective fire of a considerable number of marksmen. Lieutenant Colonel Wolozkoi, late of the Russian Army,[164] attempted to obtain an approximate standard of measurement for the errors in firing made by marksmen. He bases his deductions upon the opinion that the efficacy of rifle fire in action depends entirely upon the mental and physical condition of the individual soldier at the moment; that in serious engagements this condition is such that accurate aiming cannot be expected; and finally that every skirmisher, according to the degree of his excitement or fatigue, will fire his piece at varying angles of elevation. He argues that this produces a rigid cone of dispersion, whose limits correspond to certain extreme angles of error, and whose axis (center trajectory) corresponds to a mean angle of error; that, for each class of rifles, the depth of the resulting beaten zone is constant; and that the depth of this zone increases with the range corresponding to the angles of error. It follows that the depth of this beaten zone is greater in modern rifles than in those of older pattern.

[164] Das Gewehrfeuer im Gefecht, 1883.

He believes that peace training will have fulfilled its mission if the skirmisher, while firing, holds his piece in the position to which he has become habituated through years of practice. This position can be none other than that in which the piece is horizontal.

Although the theory of the Rigid, Constant Cone of Misses, is not tenable in this form, because there will always be a reasonably compact core of hits (the dimensions of which depend upon the conditions indicated in the firing regulations) at the center of the cone of fire, the views of Colonel Wolozkoi have, nevertheless, a certain value for us, and find application in large, hotly contested battles, especially when the firing line has been exposed to the material and moral influences of hostile fire for a considerable length of time. At the commencement of every combat we can, at any rate, count on “aimed fire”; but instead of reckoning at all times with a 75% core of hits, 100 m. in diameter, we must become used to reckoning with a 30 and 40% core of hits, of the same diameter, produced by greater dispersion of the bullets.

According to experiments made by Colonel Wolozkoi, a good shot makes a mean angular error of ±8 minutes, when using the horizontal aiming position; a poor shot, one of ±40 minutes; the average error being ±25 minutes. In this, however, the sources of error, due to excitement on the part of the marksmen, are not considered. “The principal angular errors can be traced to the nervousness of the marksmen; and this is directly proportional to the magnitude of the danger and the suddenness of its appearance. The soldier judges the magnitude of danger by the number of hostile projectiles and by their effect. Therefore, the livelier the hostile fire, and the longer it continues, the greater the danger appears to him; while the less the effect of that fire, and the better he is sheltered from it, the less he will think himself endangered. On this account, the nervous tension of the individual soldier will reach different degrees of intensity according to the magnitude of the danger.

“Now there are combat situations where the danger is insignificant, and entire engagements in which the impression produced by danger may be called moderate; moreover, even in lively actions phases may occur in which this is equally true. The circumstances of each particular case will, therefore, determine how long it is possible to fire as prescribed in the firing regulations, and from what moment a reduction of efficacy, according to Colonel Wolozkoi’s theory, is unavoidable.

“The arrival of this moment will be postponed more or less by better discipline and training; and, in addition, at the commencement of an action, we may count on the men putting into practice, to a certain extent, what they have been taught in time of peace. However, the efficacy of rifle fire will deteriorate gradually, as the danger and the intensity of the fight increase, until it reaches the stage which Wolozkoi considers peculiar to all of the more serious actions.

“When discipline is still further reduced, the efforts of the men to keep under cover may lead them to duck even their heads and to fire their rifles at high angles. In this case the decisive short ranges would not be swept by fire, making it possible for the more determined of the two opponents to advance to the assault.

“This reduction of the efficacy of fire (i.e., the delivery of fire at high angles) may also take place when troops are surprised and, in consequence thereof, fire hurriedly. This explains why the enemy’s fire passes entirely over a body of troops which has gotten quite close to his position—by no means an unusual phenomenon in surprises.”[165]

[165] F. C. v. II. Zum Studium der Taktik, p. 97.

Wolozkoi assumes that the core of hits of his constant cone is formed by projectiles fired at a mean angle of departure of less than 4 degrees, while the lower trajectories of the whole cone of fire correspond to an angle of 1 degree and 30 minutes, and the upper trajectories to one of 14 degrees and 30 minutes. If we apply these figures to a particular rifle we obtain a beaten zone containing 50% of the hits (central zone) at 560-1500 m. for the Chassepot rifle; at 1000-2000 m. for the 8 mm. rifle, and at 1200-3000 m. for the 6.5 mm. rifle. It should once more be emphasized that these figures are applicable in combat phases in which the men themselves are under fire, while firing, or deliver their fire hurriedly or with bad aim.

During the Franco-German war the German troops learned by experience that the defender’s fire inflicted serious losses on the attacker at long ranges, but that the efficacy of his fire did not increase as the skirmishers came closer to his position; that, on the contrary, the intensity of the hostile fire effect fell off noticeably at ranges below 600 m.

During the attack made by the Prussian Guard against St. Privat, the greatest number of dead and wounded were counted at ranges from 1200-1500 m., and the fewest losses were sustained at ranges from 500-600 m. from the enemy’s position, where it had to remain stationary on the slope for about an hour awaiting the effect of the enveloping movement made by the Saxon Army Corps. A range of 1500 m. corresponds approximately to an angle of departure of 5 degrees for the Chassepot rifle. The 20th Infantry Division was molested by rifle fire from St. Privat, during its march from St. Ail to St. Privat (the range in this case was 2200 m., which corresponds to an angle of departure of 15 degrees 30 minutes for the Chassepot rifle) although the skirmishers of the Guard, against whom this fire was directed, were only from 400 to 500 m. from the French position.

In the Russo-Turkish war of 1877-78, the same thing occurred. Infantry projectiles reached the Russian reserves while they were still 2500 m. from the enemy (this range corresponds to an angle of departure of 14 degrees 30 minutes).

Kuropatkin corroborates the statement that at 1500 m. and beyond (5 degrees 50 minutes), the losses produced by the Turkish rifle fire were very serious; that at 400 m. (1 degree 8 minutes) from the hostile position, on the other hand, the losses were remarkably small, sometimes even ceasing entirely. The Turks finally kept their heads under cover altogether.

A correspondent writes the following in regard to the engagement at Slivnica on November 17th to 19th, 1885: “When at 400 m. from the enemy, the firing lines suffered scarcely any losses, while the reserves, stationed far to the rear, suffered severely from stray shots.”

It must be the endeavor of peace training to prevent the occurrence of unaimed firing in battle. This necessitates careful supervision by squad and platoon leaders over the individual soldier in the firing line, and the severe punishment of every act of carelessness in pointing, aiming, and setting of the sight, in peace time. In war one must constantly endeavor to avoid opening fire prematurely, as it tires the eye and the arm of the soldier, to check any unjustifiable rapidity of fire, and to hold the men down to a steady and slow fire. This includes, in addition, the avoidance, by the leader, of haste in giving directions for firing. In defense, one will have to make every effort to withdraw one’s men from the moral effect of the attacker’s fire preparation, and to keep them in proper condition to repulse the assault. This requires the construction of splinter proofs, head cover, and, in case the hostile fire becomes too deadly, a cessation of fire, which is again resumed when the enemy attempts to advance. To carry this out properly, covered observation stations should be built, and the men instructed to line the parapet and to open fire at a signal previously agreed upon, sights having been set and ammunition replenished before they leave cover. A body of troops is not unfit to resist an assault simply because it has suffered a certain percentage of losses, but because each individual soldier is so mastered by the feeling that he is in danger of losing his life that he fires his piece without raising his head above the parapet. A body of troops in such a state will fire its projectiles in Wolozkoi’s “constant cone.”

A mobilized organization, thoroughly trained in time of peace, will still fire a by no means inconsiderable fraction of its projectiles with good aim and with the proper rear sight elevation, provided its officers are equal to their task.

(e) The Influence of Rifle-Rests in Firing.

Freehand firing increases the rate of fire. Whether the skirmisher fires freehand or from a rest is of influence on the accuracy of the single shot at short ranges. The Belgian, Dutch, and Italian regulations authorize the bayonet, in the absence of other expedients, to be stuck into the ground as a rifle-rest, while this is forbidden in Germany. Collective fire of short duration delivered at mid ranges has not been found superior because of the use of rifle-rests. Fire delivered from a rest is undoubtedly superior, however, when the barrel of the piece is heated by continued firing (position of the left hand supporting the piece when firing standing, prone, or kneeling) and when the arm of the skirmisher gets tired. When firing from a rest, high shots result from vibrations of the barrel;[166] and there is also danger, when under fire, that the men will not raise their heads over the parapet, but will fire their pieces into the air. This, as corroborated by the more recent campaigns, is why a fire fight at short range is by no means decided in so short a time as the peace performances of modern rifles lead one to suppose, for great losses do not take place until skirmishers, who have heretofore hugged the ground, rise. At Spionskop, the two opposing firing lines remained stationary for hours at 250 m. from each other.[167] The Japanese found in their attacks that at ranges from 150 to 75 paces the hostile fire had no effect.

[166] According to the Swiss Firing Regulations the change in height in the point of the target struck amounts to 11000 of the range.

[167] The British Infantry (consisting of 2694 men, exclusive of subsequent reinforcements), which was engaged at short range on Spionskop from 3 A. M. until 9:30 P. M., lost 40 officers and 721 men in 1812 hours (one officer to every 18.5 men), i.e., 28.2%. See p. 189 infra.

(f) Influence of the Ground.[168]

[168] Mondeil, De la résolution des problèmes de tir sur le champ de bataille, Paris, 1900.

So far we have considered only the effect of infantry fire on level ground. The efficacy of fire is, however, greatly influenced by the inclination of the ground upon which the cone of dispersion falls. Where the ground rises in respect to the line of sight, the depth of the beaten zone is decreased; where it falls in respect to the line of sight, the depth of the beaten zone is increased.[169]

[169] Lieutenant-General Rohne’s definitions are given below in explanation of certain technical terms:

Danger Space” is the distance measured along the line of sight within which the trajectory neither rises above the height of the target nor falls below the target.

Beaten Zone” is the distance measured along the surface of the ground within which the trajectory does not rise above the height of the target.

Whether a target will be struck by a bullet when the range has not been correctly estimated depends entirely upon the danger space. In pointing at the bottom line of the target, the aiming position (i.e., the height at which the piece is held) does not affect the danger space. When pointing at the center of the target the danger space changes, increasing for low rear sight elevations and tall targets, and decreasing for high rear sight elevations and low targets, as compared with aim taken at the bottom line of a target. “The evil effects of errors in estimating the range decrease as the ‘danger space’ increases, which, by the way, is wholly dependent upon the ballistic properties of the rifle, upon the range, and the height of the target. The danger on the ground in rear of the target fired upon, and the difficulty of bringing up reinforcements and ammunition over it, increases directly as the beaten zone, which in addition depends upon the inclination of the ground to the line of sight.”

The importance of this circumstance is frequently so magnified in the French infantry that sight is lost of tactical requirements. For example, they employ formulae to ascertain the point from which a height can be covered with grazing fire, or propose to defend the ascent to a plateau by evacuating the military crest and occupying the reverse slope, keeping the slope facing the enemy under a grazing fire with the tail ends of the trajectories.

Trajectories

Let A B B¹, in the accompanying figure, represent a horizontal plane pierced by trajectories C B and C¹ B¹, at an angle α, forming the beaten zone B B¹. If now the ground falls from B in the direction B D, it is obvious from the figure, that the angle of fall β decreases and the beaten zone B D increases. The limit of this increase is reached when the angle of slope is greater than the angle of fall of the projectile. In this case there is a dead angle beyond B and toward D. If, on the other hand, the ground be rising, the angle of fall will be C¹ D¹ B and the beaten zone[170] decreases to B D¹. The smaller the angle of fall of the projectile the greater the influence of the ground.

[170] The computation of beaten zones is based upon the formula deduced by Lieutenant-General Rohne in his work Schieszlehre für Infanterie, p. 127:

Let
α = angle of fall;
γ = angle of slope (rising or falling);
β = beaten zone on level ground;
then
α α - γ β = beaten zone on falling ground;
α α + γ β = beaten zone on rising ground.

From this it follows that when fire direction is in competent hands the appearance of the enemy on the terrain as at B D will be fully taken advantage of, while firing on slope like B D¹ should be avoided. Troops will, however, rarely be in a position from which they can see a target on the slope B D. The efficacy of the fire will in such a case be more or less a matter of accident. A body of troops in broad formation will in this case receive a greater number of hits than a column, since each meter of front of the crest line receives a certain number of projectiles. It is otherwise, however, where the slope rises in respect to the line of sight. A line is more easily missed than a column of considerable depth on the march.

The following data in regard to the increase (diminution) of the depth of the beaten zones is taken from the work of Lieutenant-General Rohne on Das gefechtsmäszige Abteilungsschieszen der Infanterie, p. 44:

Range. Rising Slope. Falling Slope.
m.
 800 12 13
1000 23 34 2
1200 34 35 32 3
1400 45 46 43 2
Efficiency of fire

The above figure, taken from Lieutenant-General Rohne’s work, Schieszlehre für die Infanterie, p. 128, shows the influence of the ground on the efficacy of fire when “poor” shots are firing at a target, 100, 200 m. etc., in rear of which are other targets of the same dimensions but situated either on level ground, on a 2-degree rising slope, or a 1-degree falling slope. On a rising slope of 2 degrees the depth of the beaten zone is decreased by half, and on a downward slope of 1 degree increased by half.

“The knowledge of this influence of the ground is of great importance to the tactician. For this reason I have selected ‘poor’ shots for the above example because the efficacy of infantry fire in battle will approximate theirs more nearly than any other. From this we may deduce that where the ground slopes upward in rear of a firing line, less distance will suffice to withdraw supports from the fire directed at the firing line than on level ground; and that, if the ground in rear of the firing line slopes downward, the distances must be increased unless the slope is so great or the hostile trajectories so flat that bullets pass over the crest, forming a ‘defiladed space,’ into which no projectiles strike.”

On ground rising in respect to the line of sight (i.e., on the slope of heights facing the enemy, or opposite to commanding ground, the slope facing the plain) columns suffer the greatest losses; on ground falling in respect to the line of sight (on the reverse slope of hills and on plateaus) line targets suffer the greatest losses.

Where the ground falls at a greater angle than the angle of fall of the projectiles (about 5 degrees at 1500 m., and 1 degree at 800 m.) a defiladed space is formed, which makes it possible to bring supports nearer to the firing line than would be practicable on level ground. If we assume that each graduation of the rear sight over 600 m. commands a space 100 m. deep with the normal core of hits, we obtain the following depths of the beaten zones at a range of 1500 m., with rifle model ’98 (angle of fall 5 degrees and 22 minutes):

Ground  rising  1  in  10  =   =   50  m. 
1 in 20 = =  64 m.
1 in 50 = =  81 m.
Ground falling 1 in 10 = = 360 m.
1 in 20 = = 180 m.
1 in 50 = = 113 m.
Efficacy of fire
Efficacy of fire

The figures on pages 181 and 182 show to what extent the ground is capable of increasing or diminishing the efficacy of fire. The French assert that the Würtembergers deliberately applied these principles in the defense of the park wall at Villiers. It was, at any rate, only an accident that the masses of troops on the west side of the gently sloping Mamelon de Villiers suffered heavy losses on November 30th, 1870.

General Paquié of the French Army[171] lays down the following rule: “When the angle of slope of falling ground corresponds to the angle of fall of the lowest trajectory of a cone of dispersion, the depth of the beaten zone will be 214 times greater than on level ground. When the angle of slope of falling ground is equal to the angle of fall of the mean trajectory of a cone of dispersion, the depth of the beaten zone will be 212 times greater than on level ground. When the lowest trajectory of a cone of dispersion passes over the crest of a hill at the height of a man, and when the reverse slope of that hill is equal to 1100 of the range, the depth of the beaten zone will be five times as great as on level ground.”