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

C. Glendinning, 1807

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### Innhold

 Ption 4 Division 13 R duction of Pugar Fractions 21 Division of Pulgar Practions 34 Diwdecimals 48 Questions respecting the March of Troops p 90 and 149 95 Of Involution 102 Arithmetical Proportion and Progression 114
 with the Methods of tracing the Figures on the Ground 236 Problem in Castrametation 244 To make Diagonal Scales 254 Methods of determining distances by means of similar Triangles traced 268 Of computing the Sines Cosines c 274 Of the Table of Logarithmic Sines and Tangents 280 Of the Logarithmic or Gunters Scale on the Sector 286 Of Heights and Distances 303

### Populćre avsnitt

Side 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...
Side 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.
Side 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.
Side 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 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.
Side 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.
Side 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Side 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.
Side 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.
Side 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