Elements of Algebra. For the Use of Students in UniversitiesWilliam Creech, and sold, 1796 - 311 sider |
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Resultater 1-5 af 17
Side 46
... fince ad = bc , it is obvious that in each porfince of these cafes the product of the extremes noitivib vd baubay o the product of the means ; is equal to the product Hw Villatinam vre therefore proportionals , the quantities ( prop . f ...
... fince ad = bc , it is obvious that in each porfince of these cafes the product of the extremes noitivib vd baubay o the product of the means ; is equal to the product Hw Villatinam vre therefore proportionals , the quantities ( prop . f ...
Side 47
... fince bc = ad , by prop . I , a , b , c , and d , must be geometrical proportionals . 2dly , If of the numbers be fractional , all the four being multiplied by the deno- minators of the fractions , they continue proportionals ...
... fince bc = ad , by prop . I , a , b , c , and d , must be geometrical proportionals . 2dly , If of the numbers be fractional , all the four being multiplied by the deno- minators of the fractions , they continue proportionals ...
Side 68
... fince the equations wanting may be affumed at pleasure . There may be other circumftances , however , to limit the an- fwers to one , or a precife number , and which , at the fame time , cannot be directly . expreffed by equations ...
... fince the equations wanting may be affumed at pleasure . There may be other circumftances , however , to limit the an- fwers to one , or a precife number , and which , at the fame time , cannot be directly . expreffed by equations ...
Side 117
... fince a is greater than b , за- 3a - b 2 must be always positive , and therefore the equation is neceffarily of the third form . But the roots are poffible 3a- only when is not lefs than 2 , that , 4 is , when a2 + b2 is not lefs than ...
... fince a is greater than b , за- 3a - b 2 must be always positive , and therefore the equation is neceffarily of the third form . But the roots are poffible 3a- only when is not lefs than 2 , that , 4 is , when a2 + b2 is not lefs than ...
Side 143
... fince N - D ( Theor . 4. ) is divifible by r - 1 , it is also divisible by an aliquot part of r ― 1 ; but Ɗ is divisible by an aliquot part of r — 1 , therefore N is also divisible by that aliquot part . COR . 3. This theorem , with the ...
... fince N - D ( Theor . 4. ) is divifible by r - 1 , it is also divisible by an aliquot part of r ― 1 ; but Ɗ is divisible by an aliquot part of r — 1 , therefore N is also divisible by that aliquot part . COR . 3. This theorem , with the ...
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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