A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volumen1C. Glendinning, 1807 |
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Página 78
... extent will be 10 yards ( allowing a yard to each rank as before ) . In this case it is evi- dent that the lengths are inversely or reciprocally as the num ber of men in front . m . yds . m . yds . Therefore 5 : 8 :: 4 : 10. Here 5 X 8 ...
... extent will be 10 yards ( allowing a yard to each rank as before ) . In this case it is evi- dent that the lengths are inversely or reciprocally as the num ber of men in front . m . yds . m . yds . Therefore 5 : 8 :: 4 : 10. Here 5 X 8 ...
Página 90
... extent of the front or line , which also is the estimated extent of the same battalion when in open column . 311 160 feet , extent of 2 field pieces with 4 horses to each . Sum 471 feet , extent of 1 battalion with 2 field pieces , And ...
... extent of the front or line , which also is the estimated extent of the same battalion when in open column . 311 160 feet , extent of 2 field pieces with 4 horses to each . Sum 471 feet , extent of 1 battalion with 2 field pieces , And ...
Página 91
... extent of the 16 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 ...
... extent of the 16 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 ...
Página 92
... extent of 18 battalions . 2112 paces = 1 mile . 3168 paces = 11⁄2 miles . 15288 paces , extent of both columns and defilés . 80 + 50 = 130 . ( 100 ) As 130 : 15288 : 80 : 9408 paces , length of the 1 mile defilé with its column . And As ...
... extent of 18 battalions . 2112 paces = 1 mile . 3168 paces = 11⁄2 miles . 15288 paces , extent of both columns and defilés . 80 + 50 = 130 . ( 100 ) As 130 : 15288 : 80 : 9408 paces , length of the 1 mile defilé with its column . And As ...
Página 93
... extent of 25 battal . ( 726 paces ) be added to the shortest defilé , the sum will be to the longest defilé , in the proportion of 50 to 80 the rates of marching . Consequently 5354 battal . ( the difference of 8 and 266 ) must be ...
... extent of 25 battal . ( 726 paces ) be added to the shortest defilé , the sum will be to the longest defilé , in the proportion of 50 to 80 the rates of marching . Consequently 5354 battal . ( the difference of 8 and 266 ) must be ...
Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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.
Página 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.
Página 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 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.
Página 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.
Página 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Página 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.
Página 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.
Página 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