# A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...

F. C. and J. Rivington, 1811

### Contents

 Roman Notation 7 Multiplication 13 Reduction 23 Golden Rule or Rule of Three 44 Vulgar Fractions 51 Addition of Vulgar Fractions 61 Addition of Decimals 67 Division of Decimals 70
 Page 161 Fractions 178 Involution 188 Surds 195 Infinite Series 203 Piles of Shot or Shells 213 Simple Equations 220 145 228

 Rule of Three in Decimals 76 To extract the Cube Root 85 Ratios Proportions and Progressions 110 Geometrical Proportion 116 Double Fellowship 122 Alligation Medial 129 Single Position 135 LOGARITHMS 145 Description and Use of Logarithms 153 Involution by Logarithms 159
 Quadratic Equations 239 Cubic and Higher Powers 247 Simple Interest 256 Definitions 265 Of Ratios and ProportionsDefinitions 309 Of Planes and SolidsDefinitions 326 Problems 342 Application of Algebra to Geometry 359 Table of Logarithms 370

### Popular passages

Page 280 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 2 - The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
Page 4 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 32 - Place the numbers so that those of the same denomination may stand directly under each other.
Page 11 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Page 297 - Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle.
Page 264 - A Right angle is that which is made by one line perpendicular to another. Or when the angles on each side are equal to one another, they are right angles.
Page 325 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Page 275 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Page 184 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.