A History of Mathematics |
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Page 15
... equations of one unknown quantity . The un- known quantity is called ' hau ' or heap . Thus the problem , “ heap , its 4 , its whole , it makes 19 , " х 7 i.e. 8x case , the solution is as follows : = 19 ; 7 7 x + x = 19. In this = 21 ...
... equations of one unknown quantity . The un- known quantity is called ' hau ' or heap . Thus the problem , “ heap , its 4 , its whole , it makes 19 , " х 7 i.e. 8x case , the solution is as follows : = 19 ; 7 7 x + x = 19. In this = 21 ...
Page 73
... equations . Before the introduction of algebra these problems were propounded as puzzles . A riddle attributed to Euclid and contained in the Anthology is to this effect : A mule and a donkey were walking along , laden with corn . The ...
... equations . Before the introduction of algebra these problems were propounded as puzzles . A riddle attributed to Euclid and contained in the Anthology is to this effect : A mule and a donkey were walking along , laden with corn . The ...
Page 75
Florian Cajori. suggestions of algebraic notation , and of the solution of equations , then his Arithmetica is the earliest treatise on algebra now extant . In this work is introduced the idea of an algebraic equation expressed in ...
Florian Cajori. suggestions of algebraic notation , and of the solution of equations , then his Arithmetica is the earliest treatise on algebra now extant . In this work is introduced the idea of an algebraic equation expressed in ...
Page 76
... equations . The remaining books extant treat mainly of indeterminate quadratic equations of the form Ax2 + B + C = y , or of two simultaneous equations of the same form . He considers several but not all the possible cases which may ...
... equations . The remaining books extant treat mainly of indeterminate quadratic equations of the form Ax2 + B + C = y , or of two simultaneous equations of the same form . He considers several but not all the possible cases which may ...
Page 77
... equation may admit of an indefinite number of values . Another great defect is the absence of general methods . Mod- ern ... equations . It is still an open question and one of great difficulty whether Diophantus derived portions of his ...
... equation may admit of an indefinite number of values . Another great defect is the absence of general methods . Mod- ern ... equations . It is still an open question and one of great difficulty whether Diophantus derived portions of his ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus Cambridge Cauchy Cayley century circle Clebsch College conic sections contains Crelle's Journal cubic curve degree Descartes determine differential calculus differential equations Diophantus discovery Edition Egyptian elasticity Elementary Treatise elliptic functions Euclid Euclid's Elements Euler expressed Fermat fluxions fractions Gauss gave geometry given gives Greek Hindoo infinite integral invention investigations Jacobi John Bernoulli known Lagrange Laplace Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Pappus Paris plane polygon principle problem professor progress proof published pupil Pythagoreans quadratic quadrature quantities ratio researches Riemann roots sexagesimal solids solution solved spherical square surface symbol synthetic geometry tangents theorem theory of numbers theta-functions Thomson tion translated triangle trigonometry variable Vieta Wallis writings wrote