A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical Part |
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... four ; but 10 , 11 , 12 , 13 , 14 fhall de- fign five , fix , feven , eight , nine ; and 20 , 21 , 22 , 23 ; & c . fhall defign ten , eleven , twelve , thirteen ; & c . And Suppofe 242 ( or twice twenty five more four times five more ...
... four ; but 10 , 11 , 12 , 13 , 14 fhall de- fign five , fix , feven , eight , nine ; and 20 , 21 , 22 , 23 ; & c . fhall defign ten , eleven , twelve , thirteen ; & c . And Suppofe 242 ( or twice twenty five more four times five more ...
Page 2
... four , for 216d , r . 216 d3 . Note , Dele the 11th and 12th 1. ( viz . the N. B. ) in p . 180 : And , inftead of the 7 last 1. in p . 191 , and all in p . 192 , r . 1. If the Terms of the Equation be not in the least In- tegers , or ...
... four , for 216d , r . 216 d3 . Note , Dele the 11th and 12th 1. ( viz . the N. B. ) in p . 180 : And , inftead of the 7 last 1. in p . 191 , and all in p . 192 , r . 1. If the Terms of the Equation be not in the least In- tegers , or ...
Page 71
... four laft Articles , fince m and n are Univerfal , and con- fequently may be equal to any Quantities Whole or Fracted , Affirmative or Negative . a - qxa + p = a - q + p a - q ÷ ap = a - q - p apa - q = ap + 9 a - q rais'd to p Power a ...
... four laft Articles , fince m and n are Univerfal , and con- fequently may be equal to any Quantities Whole or Fracted , Affirmative or Negative . a - qxa + p = a - q + p a - q ÷ ap = a - q - p apa - q = ap + 9 a - q rais'd to p Power a ...
Page 91
... four , & c . Equa- tions ( concern'd in any limitted Queftion , and not depending upon one another ) one , two or three , & c . unknown Quantities , But fince upon the preceding Sect . these in this Chap . depend , it is proper that the ...
... four , & c . Equa- tions ( concern'd in any limitted Queftion , and not depending upon one another ) one , two or three , & c . unknown Quantities , But fince upon the preceding Sect . these in this Chap . depend , it is proper that the ...
Page 93
... four , & c . Quantities to be taken away , there must be three , four or five , & c . Equations . And then the Bufinefs may be done by Degrees : As for Inftance , If bay3 , a + y = e , and 5a = y + 3e , that a and e may be exterminated ...
... four , & c . Quantities to be taken away , there must be three , four or five , & c . Equations . And then the Bufinefs may be done by Degrees : As for Inftance , If bay3 , a + y = e , and 5a = y + 3e , that a and e may be exterminated ...
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
Adfected Affirmative alfo alſo Angle Anſwer Area becauſe Binomial Cafe Canon Chap circumfcribing Co-efficient Co-fine common confequently Cube-Root Demonftration Denominator Diſtances Divided Divifion Divifor Elem equal Eucl faid fame fecond Term fhall figurate Number fimilar fince firft Term firſt fmall fome foregoing fought Fraction ftraight Line fuch fuppos'd greater greateſt hath indefinitely little Index infcribed Integer Intereft interfecting laft laſt leaft leffer lefs Lemma Logarithm Meaſure Multiplyed muſt Number of Alternations Power PROB produc'd PROP Quadratick Quantity Queſtion Quotient Radius Ratio Rational Theorem reduc'd Refidual Refolvend refpectively Remainder required to find Root Scholia Scholium Series Side Sine Square Square-Root Step Subtract Suppofe Surds Tangent thefe Theorem theſe thofe Trapezium Uncia univerfal Value Whence wherefore whofe whole Numbers
Popular passages
Page 334 - 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 326 - 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, fourths, &c.
Page 32 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 332 - Radius, fo the other Sides acquire different Names, which Names are either Sines, Tangents, or Secants, and are to be taken out of your Table, 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 8 - ... 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5.
Page 34 - Multiply the numerator of the dividend by the denominator of the divisor, for a numerator; and multiply the denominator of the dividend by the numerator of the divisor, for a denominator 19.
Page 333 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 327 - Every plane triangle consists of six parts ; viz., three sides and three angles ; any three of which being given (except the three angles), the other three may be readily found by logarithmical calculation.
Page 327 - Parts, viz. three Sides and three, Angles : Any three of which being given, except the three Angles of a Plane Triangle, the other three may be found either Mechanically, by the help of a Scale of equal Parts and Line of Chords, or by an...