Elements of Algebra. For the Use of Students in UniversitiesWilliam Creech, and sold, 1796 - 311 sider |
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Resultater 1-5 af 5
Side 54
... the equation , and the known terms to the other , by R. 1. Lastly , If the un- known quantity is multiplied by any known quantity , it may be made to stand alone by R. 2. and the equation will then be resolved . R. 2 . ( 54 )
... the equation , and the known terms to the other , by R. 1. Lastly , If the un- known quantity is multiplied by any known quantity , it may be made to stand alone by R. 2. and the equation will then be resolved . R. 2 . ( 54 )
Side 55
William Trail. R. 2. and the equation will then be resolved . Def . 3 . Examples of Simple Equations refolved by thefe Rules . I. If 3x + 5 = x + 9 R. I. R. 2 .. 2x = 4 x = == 2 II . If 5x — 522 + 12 = 2 4x +26 3 = 14 3 8x = 84 5x 4x R ...
William Trail. R. 2. and the equation will then be resolved . Def . 3 . Examples of Simple Equations refolved by thefe Rules . I. If 3x + 5 = x + 9 R. I. R. 2 .. 2x = 4 x = == 2 II . If 5x — 522 + 12 = 2 4x +26 3 = 14 3 8x = 84 5x 4x R ...
Side 119
... resolved by Sect . I. of this Chapter . Such an equation may generally be re- prefented thus , m 2m x2maxm ± b " Let x = x , then x2 ± ax br And x TM ( = x ) = ±± 2 Therefore x m a a2 4 EXAMPLE . XV . To find two numbers , of which the ...
... resolved by Sect . I. of this Chapter . Such an equation may generally be re- prefented thus , m 2m x2maxm ± b " Let x = x , then x2 ± ax br And x TM ( = x ) = ±± 2 Therefore x m a a2 4 EXAMPLE . XV . To find two numbers , of which the ...
Side 197
... resolved algebraically , by a cubic equation of this form ; and hence the foundation of the rule for refolving an equation belonging to this cafe , by a table of fines . Cor . 2. Biquadratic equations may be re- duced to cubics , and ...
... resolved algebraically , by a cubic equation of this form ; and hence the foundation of the rule for refolving an equation belonging to this cafe , by a table of fines . Cor . 2. Biquadratic equations may be re- duced to cubics , and ...
Side 222
... resolved ( Chap . V. P. II . ) gives x = a2 + 4 a The quantity , is the hypothe 4 nufe of a right angled triangle of which the a two fides are a , and and is therefore a 22 eafily found ; being taken from this line , 2 gives x = AC ...
... resolved ( Chap . V. P. II . ) gives x = a2 + 4 a The quantity , is the hypothe 4 nufe of a right angled triangle of which the a two fides are a , and and is therefore a 22 eafily found ; being taken from this line , 2 gives x = AC ...
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Elements of Algebra. for the Use of Students in Universities. Third Edition ... William Trail Ingen forhåndsvisning - 2018 |
Elements of Algebra. for the Use of Students in Universities William Trail Ingen forhåndsvisning - 2018 |
Almindelige termer og sætninger
abfolute term affumed alfo algebra algebraical quantities alſo anſwer arifing cafe called Chap coefficient cofine conftruction continued fraction correfponding cubic equation curve deduced denominator denote dimenfions divided dividend divifible divifion divifor diviſible eaſily equa equal example exponents expreffed expreffion faid fecond term feries fides fimple equations fince firft term firſt folution fome fquare root fraction ftraight line fubftituted fubtracted fuch fuppofed furds geometrical given equation greateſt hence impoffible inferted integer intereft interfection itſelf laft laſt lefs leſs logarithms meaſure moſt muft multiplied muſt neceffary negative notation number of terms obferved odd number phyfical poffible pofitive poſitive powers preceding Prob problem Prop propofition proportional equation quadratic quadratic equation quan queftion quotient radical fign reaſoning refolved refult remainder repreſent rule SCHOLIUM ſign ſquare thefe theorem theſe thofe thoſe tion tities Tranfp unknown quantity uſed