A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical Part |
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Page 5
... third Step ) fet down the Sum , viz . a + b ; then against the third Step , fet down I 2 , in the Margin , which denotes that the Quantities against the first and fecond Steps are added together , and that thofe in the third Step are ...
... third Step ) fet down the Sum , viz . a + b ; then against the third Step , fet down I 2 , in the Margin , which denotes that the Quantities against the first and fecond Steps are added together , and that thofe in the third Step are ...
Page 9
... third Rule , and you'll have the Sum required . Ex . 16 . 3 aa + 4 b c d 9 b c d + 8 1 e - 2aa - - 2 3 4 + 94a - 15 b c d +7 aa + 20 b c d 64e + 88 g 1 + 2 + 3 + 45 + 17a a + 176 + 88-8 S CHA P. III . Subtraction of whole Quantities ...
... third Rule , and you'll have the Sum required . Ex . 16 . 3 aa + 4 b c d 9 b c d + 8 1 e - 2aa - - 2 3 4 + 94a - 15 b c d +7 aa + 20 b c d 64e + 88 g 1 + 2 + 3 + 45 + 17a a + 176 + 88-8 S CHA P. III . Subtraction of whole Quantities ...
Page 15
... third , & c . Terms of the Dividend , and of the Divifor , must be thofe which contain the greateft , greatest but one , great- eft but two , & c . power of the faid Letter refpectively . Then feek fuch a Quantity , as being Multiplyed ...
... third , & c . Terms of the Dividend , and of the Divifor , must be thofe which contain the greateft , greatest but one , great- eft but two , & c . power of the faid Letter refpectively . Then feek fuch a Quantity , as being Multiplyed ...
Page 17
... third , and fourth Terms of it refpectively ; and a , + d the first and second Terms of the Divifor refpectively : And then the Divifion will ftand thus , + 4caa 4cda a + d ) + da + da + ddd ( aa + 4ca + dd aaa + daa 。 + 4caa + 4cda + ...
... third , and fourth Terms of it refpectively ; and a , + d the first and second Terms of the Divifor refpectively : And then the Divifion will ftand thus , + 4caa 4cda a + d ) + da + da + ddd ( aa + 4ca + dd aaa + daa 。 + 4caa + 4cda + ...
Page 34
... third Power . 144 aaaa | + aaaa | Biquadrat , or 4th Power . 155aaaaa | —aaaaa | Surfelid , or 5th Power . & c . Note , The Figures plac'd in the Margin after the Sign ( ) of Involution , thew to what Height the Root is Involved ; and ...
... third Power . 144 aaaa | + aaaa | Biquadrat , or 4th Power . 155aaaaa | —aaaaa | Surfelid , or 5th Power . & c . Note , The Figures plac'd in the Margin after the Sign ( ) of Involution , thew to what Height the Root is Involved ; and ...
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...