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### Contents

 G E M E R A L Principles 21 l 27 JWotation and JWumeration 28 JMultiplication 61 Compound Proportion 69 Reduction of Decimals 73 Addition of Vulgar Fractions 81 Rule of Three in Decimals 85
 Infinite Series 233 Piling of Balls 223 243 Simple Equations 250 Quadratic Equations 249 269 Resolution of Cubic and Higher Equations 277 Simple Interest 286 GEOMETRY 292 Definitions 275 319

 Addition of Decimals 87 CONTENTS 97 To eactract the Square Root 81 110 Geometrical Progression 116 Fellowship or Partnership 139 Compound Interest 127 147 Of Logarithms 175 Description and use of the Table of Logarithms 187 Definitions and JNotation 171 191 JMultiplication 181 204 Involution 219 Surds 225
 Of Planes and SolidsDefinitions 336 Problems 353 Applications of 7lgebra to Geometry 369 Plane Trigonometry 377 Heights and Distances 393 Mensuration of Planes 402 Mensuration of Solids 419 Land Surveying 429 Artificers Works 457 Elements of Isoperimetry 535 Problems relative to the Division of Surfaces 558 Construction of Geometrical Problems 571

### Popular passages

Page 292 - 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 24 - Los n�meros 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 22 - 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 320 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Page 301 - In any triangle, the difference of the squares of the two sides w equal to the difference of the squares of the segments of the base, or of the two lines or distances included between the extremes of the base and the perpendicular.
Page 190 - When the index of the logarithm to be divided is negative, and does not exactly contain the divisor without some remainder, increase the index by such a number as will make it exactly divisible by the index, carrying the units borrowed, as so many tens, to the left-hand place of the decimal, and, then divide as in whole numbers. EXAMPLES. 1.
Page 312 - The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment.
Page 377 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Page 458 - BRICKLAYERS- WORK. — Brickwork is estimated at the rate of a brick and a half thick. So that, if a wall be more or less than this standard thickness, it must be reduced to it, as follows : — Multiply the superficial content of the wall by the number of half bricks in the thickness, and divide the product by 3. The...
Page 319 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.