# 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

 ARITHMETIC Page 4 lulgar Fractions 18 R duction of Vulgar Fractions 30 Addition and Subtraction of Decimals 38 Duodecimals 46 Simple Interest 96 of Involution 102 Extraction of Roots 114
 Involution by Logarithms 173 Definitions 180 Of Terrestrial Refraction 322 Of rightlined plane Figures 337 Additional Examples in Practical Geometry Trigonometry 377 201 1 286 38

### 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