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

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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... Philip Ronayne No preview available - 2016 |

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

### Common terms and phrases

added Æquation alſo Alternations Amount Angle Anſwer Area becauſe become Binomial Canon Caſe Chap Circle Coefficient common Compound conſequently continued Cube Demonſtration Denominator Difference Divided Diviſor draw equal Equation Eucl evident Example Extracting Figures firſt firſt Term foregoing fought four Fraction given gives greater greateſt half Hence Hours indefinitely Index Intereſt known laſt Legs Lemma leſs Letters Line Logarithm manner Member Method Multiplyed muſt Note Number Operation Order Point Power Problem Product Proportion Quantity Queſtion Quotient Rank Rational reduc'd Remainder reſpectively Root Rule ſaid ſame ſay ſecond Series ſeveral Side Sign Simple Sine Solution Square Step ſuch Suppoſe taken Term Theorem theſe things third thoſe Triangle Value wherefore whole whoſe

### 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.