## A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volume 1 |

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added answer base battalions breadth called carried centre chord circle circumference common consequently contained corol cosine cube cubic decimal denominator describe diameter difference direction distance divided division divisor draw drawn equal evident example extent extremities feet figure foot fraction give given greater ground half height Hence hundred inches intersection join length less logarithm manner mean measure method miles multiplied nearly object opposite paces parallel parallelogram perpendicular plane pound prism proportion quotient radius ratio rectangle Reduce remainder respectively right angles right line root rule scale shillings sides similar sine solid square square root subtracted Suppose surface taken tangent third triangle whole 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