A History of Mathematics |
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Page 23
... became leader and dictator . She caused the separate treasury of the league to be merged into that of Athens , and then spent the money of her allies for her own aggrandisement . Athens was also a great commercial centre . Thus she became ...
... became leader and dictator . She caused the separate treasury of the league to be merged into that of Athens , and then spent the money of her allies for her own aggrandisement . Athens was also a great commercial centre . Thus she became ...
Page 24
... became the headquarters of Grecian men of letters , and of mathematicians in particular . The home of mathematics among the Greeks was first in the Ionian Islands , then in Lower Italy , and during the time now under consideration , at ...
... became the headquarters of Grecian men of letters , and of mathematicians in particular . The home of mathematics among the Greeks was first in the Ionian Islands , then in Lower Italy , and during the time now under consideration , at ...
Page 29
... became his intimate friends . On his return to Athens , about 389 B.C. , he founded his school in the groves of the Academia , and devoted the remainder of his life to teaching and writing . Plato's physical philosophy is partly based ...
... became his intimate friends . On his return to Athens , about 389 B.C. , he founded his school in the groves of the Academia , and devoted the remainder of his life to teaching and writing . Plato's physical philosophy is partly based ...
Page 31
... neglected . The sphere and the regular solids had been studied to some extent , but the prism , pyramid , cylinder , and cone were hardly known to exist . All these solids became the subjects of investigation THE GREEKS . 31.
... neglected . The sphere and the regular solids had been studied to some extent , but the prism , pyramid , cylinder , and cone were hardly known to exist . All these solids became the subjects of investigation THE GREEKS . 31.
Page 32
Florian Cajori. exist . All these solids became the subjects of investigation by the Platonic school . One result of these inquiries was epoch - making . Menæchmus , an associate of Plato and pupil of Eudoxus , invented the conic ...
Florian Cajori. exist . All these solids became the subjects of investigation by the Platonic school . One result of these inquiries was epoch - making . Menæchmus , an associate of Plato and pupil of Eudoxus , invented the conic ...
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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 coefficients 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 equal Euclid 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 University variable Vieta Wallis writings wrote
Popular passages
Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.
Page 13 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.