## A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical PartW. Innys, 1717 - 408 pages |

### From inside the book

Page 336

... : Wherefore the Sum of the Legs

... : Wherefore the Sum of the Legs

**is to their Difference as the Tangent of half the Sum of**the oppofite is to the Tangent of half their difference . Q.E. D. AXIOM 4 AXIOM IV . B D Ο Having drawn a LBD 336 Part I. Of Trigonometry.### Other editions - View all

A Treatise of Algebra: In Two Books; The First Treating of the Arithmetical ... Philip Ronayne No preview available - 2017 |

A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... PHILIP. RONAYNE No preview available - 2018 |

### Common terms and phrases

Æquation alfo alſo Angle Anſwer Axiom Bafe becauſe Binomial Cafe Canon Chap Co-fine common confequently conjoin'd Cube Cubick Demonftration Denominator Divided Divifion Divifor equal Equation Eucl Example faid fame fecond Term feven fhall fide figurate Number fince firft Term firſt fome foregoing Fraction fuch fuppofe given Number greater greateſt Hence indefinitely Intereft laft leaft Leffer Series lefs Legs Lemma Logarithm Meaſure muft Multiply muſt Number of Alternations number of Terms oppofite Power Product propos'd Quadratick Quantities Queftion Quotient Rank Rational Theorem reduc'd Refidual Refolvend refpectively Remainder required to find ſaid Scholium Sine Solution Spheric Triangle Square fought Square Root Subftract Surds thefe Theorem theſe thofe Triangle Uncia univerfal unknown Root Value wherefore whofe

### 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.