# A concise system of mathematics

Oliver & Boyd, 1830 - Mathematics - 120 pages
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C'est fait !

### Contents

 Logarithms 72 PriciensPeales 76 LOGARITHMS 92 27 96 Of the Tables of Sines Tangents and Secants 98 Promiscuous Examples 105 Polygons 116 70 119 71 130 Of the Ellipse 131 MENSURATION OF SOLIDS 137 The Cone 143 The Spheroid 153 154 Ungulae or Hoofs 164 Solid Rings 170 Instruments for measuring Lines 172 Of Levelling 187 To survey Fields with straight Boundaries 200 To find the Contents of a Survey 207
 BrickWork 264 PlasterWork 271 SlatersWork 273 On the Flexibility Strength and Fracture of Timber 280 APPENDIX 293 Proportions of Trigonometry 306 Properties of Conic Sections 312 Of Variable Quantities 326 Of Second Third c Fluxions 333 Of the Lengths and Areas of Curves 339 Of Solids 346 SPHERICAL TRIGONOMETRY 357 Solution of Rightangled Spherical Triangles 362 368 Application of Spherical Trigonometry to the Solution of Astronomical 378 The Logarithms of Numbers 1 1 The Angles which every Point and Quarterpoint of the Compass makes 18 Natural Sines 42 44 Areas of Circular Segments 47 47

### Popular passages

Page 28 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 19 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 54 - The sum of any number of terms in arithmetical progression is equal to the sum of the extremes multiplied by half the number of terms.
Page 331 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 332 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 19 - Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient.
Page 54 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Page 13 - C, indicates that the sum of A and B is to be multiplied by C ; and (A + B) -=- C, indicates that the sum of A and B is to be divided by C.
Page 126 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 137 - ... containing ten pounds avoirdupois weight of distilled water, weighed in air, at the temperature of 62...