A course of mathematics

Printed for F.C. & J. Rivington, 1811 - Mathematics

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Contents

 GENERAL Preliminary Principles 1 Roman Notation 7 Golden Rule or Rule of Three 44 Vulgar Fractions 51 Addition of Vulgar Fractions 61 Addition of Decimals 67 Division of Decimals 70 Rule of Three in Decimals 76
 Subtraction 170 Fractions 178 Involution 189 Surds 196 Infinite Series 203 Arithmetical Progression 210 Geometrical Proportion 218 Quadratic Equations 239

 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 To compute Logarithms 151 Multiplication by Logarithms 157 Definitions and Notation 161 161
 Cubic and Higher Powers 247 Simple Interest 256 GEOMETRY 265 Axioms 271 Of Ratios and ProportionsDefinitions 309 Of Planes and SolidsDefinitions 326 Problems 343 Application of Algebra to Geometry 359 Table of Logarithms 366

Popular passages

Page 279 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Page 2 - Thus, when it is said that, 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 178 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 279 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Page 301 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Page 290 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal to the squares on AC, CB, together with twice the rectangle contained by AC, CB.
Page 292 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 70 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 4 - Moors, about eight or nine hundred •*'. years since; viz. 1 one, 2 two, 3 three, 4 four, 5 five, 6 six,--.'; 7 seven, 8 eight, 9 nine, 0 cipher, or nothing. These chav.'.
Page 143 - If a quantity of provisions serves 1500 men 12 weeks, at the rate of 20 ounces a day for each man ; how many men will the same provisions maintain for 20 weeks, at the rate of 8 ounces a day for each ma's ? Ans. men. 36. A younger brother received \$8400, which was just £ of his elder brother's fortune: what was the father worth ? Ans. \$19200.