A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volume 1C. Glendinning, 1807 - Mathematics |
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Page 90
... battalions of infantry each con- sisting of 510 men , with two field pieces , 4 horses to each , pass through a ... battalion in line of 3 ranks ; then 19 170 men in each rank ; and 22 inches or 18 feet being the allowance for each man ...
... battalions of infantry each con- sisting of 510 men , with two field pieces , 4 horses to each , pass through a ... battalion in line of 3 ranks ; then 19 170 men in each rank ; and 22 inches or 18 feet being the allowance for each man ...
Page 91
... battalions ; equal to 3019 paces of 2 feet each . 3019 3396 paces 13 miles . 6715 paces , extent of column and defile . As 75pa . : 1min . :: 6715pa . : 897min . Ans . 28. Suppose 18 battalions each consisting of 560 men , with 18 ...
... battalions ; equal to 3019 paces of 2 feet each . 3019 3396 paces 13 miles . 6715 paces , extent of column and defile . As 75pa . : 1min . :: 6715pa . : 897min . Ans . 28. Suppose 18 battalions each consisting of 560 men , with 18 ...
Page 92
... battalions . 2112 paces = 1 mile . 3168 paces = 11⁄2 miles . 15288 paces , extent of both columns and defilés . 80 + ... battalions which must march through the 1 mile defilé . And 5880 2112 paces = 1 mile . 3768 paces , length of the ...
... battalions . 2112 paces = 1 mile . 3168 paces = 11⁄2 miles . 15288 paces , extent of both columns and defilés . 80 + ... battalions which must march through the 1 mile defilé . And 5880 2112 paces = 1 mile . 3768 paces , length of the ...
Page 93
... battalions have to pass 2 defilés , one , the other 14 miles in length ; the former admitting 6 , and the latter 4 men to march in front ; now if the length of a battalion ( in- cluding 2 field pieces ) be 330 paces of 2 feet each ...
... battalions have to pass 2 defilés , one , the other 14 miles in length ; the former admitting 6 , and the latter 4 men to march in front ; now if the length of a battalion ( in- cluding 2 field pieces ) be 330 paces of 2 feet each ...
Page 94
... battalions that must march through the longest defilé ; consequently 5 have to march through the other . 1594330 X 5 defilé . 50 3696 +440 X 3 80 643 min . the time of marching through the shortest 6258min . time of marching through the ...
... battalions that must march through the longest defilé ; consequently 5 have to march through the other . 1594330 X 5 defilé . 50 3696 +440 X 3 80 643 min . the time of marching through the shortest 6258min . time of marching through the ...
Common terms and phrases
angle ACB arith arithmetical arithmetical mean base battalions bisect breadth centre chord ciphers circle circumference consequently corol cosine cube root cubic decimal defilé diameter diff difference distance ditch divided dividend division divisor example farthings feet figure frustum give given line half the arc half the perimeter height Hence horizontal improper fraction inches integer intersection isosceles least common multiple length logarithm mean proportional measure miles mixt number multiplied nearly number of terms opposite angles paces parallel parallelogram perpendicular plane polygon prism pyramid quadrilateral quotient radius ratio rectangle Reduce remainder rhombus right angles right line right-angled triangle scale of equal segment shillings sides similar sine square root subtracted Suppose tangent Theodolite toises VULGAR FRACTIONS whole number yards
Popular passages
Page 100 - Multiply the whole augmented divisor by this last quotient figure, and subtract the product from the said dividend, bringing down to the next period of the given number, for a new dividend. Repeat the same process over again — viz. find another new divisor, by doubling all the figures now...
Page 95 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Page 220 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Page 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 114 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Page 189 - A sector, is any part of a circle bounded by an arc, and two radii, drawn to its extremities. A quadrant, or quarter of a circle, is a sector having a quarter part of the circumference for its arc, and the two radii perpendicular to each other.
Page 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Page 165 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 211 - If there be any number of proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Page 207 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side