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 8
... give him 100 1. or add + 100 1 . to bis 100 1. the Sum will be nothing ; but notwithstanding the the Man ( tho worth Nothing ) will be 100 l . better than he was before . --- -- Rule 3. When unlike Quantities are to be added , Set them ...
... give him 100 1. or add + 100 1 . to bis 100 1. the Sum will be nothing ; but notwithstanding the the Man ( tho worth Nothing ) will be 100 l . better than he was before . --- -- Rule 3. When unlike Quantities are to be added , Set them ...
Page 11
... give a Pofitive or Affirmative Product , and unlike Signs a Negative one , may be thus prov'd . I. Since Multiplication is only adding one Factor ( or the Multipli- cand ) to it felf , as often as there are Units in the other ( or the ...
... give a Pofitive or Affirmative Product , and unlike Signs a Negative one , may be thus prov'd . I. Since Multiplication is only adding one Factor ( or the Multipli- cand ) to it felf , as often as there are Units in the other ( or the ...
Page 12
... give a . negative Product ; because in this Cafe , the Multiplicator , having a negative Sign , works on the Multiplicand by Subftraction ; which therefore must be Subftra & ted , or made Negative ( by changing its Sign ) as often as ...
... give a . negative Product ; because in this Cafe , the Multiplicator , having a negative Sign , works on the Multiplicand by Subftraction ; which therefore must be Subftra & ted , or made Negative ( by changing its Sign ) as often as ...
Page 14
... let the former be to the Left - Hand of it , or ab , for a Thus a being Divided by b , will give 7 , Quotient . And abeg + dg , Divided by 6gf t 394 , is = zbeg 2bcg + dg , or = 2bcg + dg ÷ 14 Part I. Of whole Quantities . P.
... let the former be to the Left - Hand of it , or ab , for a Thus a being Divided by b , will give 7 , Quotient . And abeg + dg , Divided by 6gf t 394 , is = zbeg 2bcg + dg , or = 2bcg + dg ÷ 14 Part I. Of whole Quantities . P.
Page 15
... give- which holds here as well as in Multiplication ; as may be proved thus , Every Dividend being a Product made by ... gives a negative Quotient ; and if the Dividend be Negative , the Divifor and Quotient must have unlike Signs ; ( as ...
... give- which holds here as well as in Multiplication ; as may be proved thus , Every Dividend being a Product made by ... gives a negative Quotient ; and if the Dividend be Negative , the Divifor and Quotient must have unlike Signs ; ( as ...
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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.