# A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical Part

W. Innys, 1717 - Algebra - 408 pages
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### Contents

 BOOK 2 Notation p 20 Of whole Quantiies 35 Of wbole Quantities p 41 p 67 Part VII 84 Arithmetical 94 Muſical 111
 quadratick into two Quadraticks p 188 by Sir Iſaac Newtons Method p 194 Of the Nature of Series or of Approximations 220 Of Simple Intereſt P 302 Some of Diophantuss Quetions 315 Of the Alternations of Quantities P 3 20 325 Problems producing Simple Equations p 363 tick Equations 369

 Queſtions producing Simple Equations p 131 Equations 148 Preparations P 177 151 dans Method p 180
 Part III 410 How to draw Tangents to Curves p 423 BOOK 443

### Popular passages

Page 290 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 31 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 312 - In spherical triangles, whether right angled or oblique angled, the sines of the sides are proportional to the sines of the angles opposite to them.
Page 258 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Page 289 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 200 - JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product.
Page 263 - To find a Side, any Side may be made Radius : Then fay, as the Name of the Side given is to the Name of the Side required ; fo is the Side given to the Side required.
Page 97 - Note. — 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 290 - FA : FG ; that is in Words, half the Sum of the Legs is to half their Difference, as the Tangent of half the Sum of the oppofite Angles is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs is...
Page 32 - Then multiply the denominator of the dividend by the numerator of the divifor, and their produft Jhall give the denominator.