A History of Mathematics |
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Page 11
... sides measure 10 ruths and the base 4 ruths , was erroneously given as 20 square ruths , or half the product of the base by one side . The area of an isosceles trapezoid is found , similarly , by multiplying half the sum of the parallel ...
... sides measure 10 ruths and the base 4 ruths , was erroneously given as 20 square ruths , or half the product of the base by one side . The area of an isosceles trapezoid is found , similarly , by multiplying half the sum of the parallel ...
Page 12
... sides are in the ratio 3 : 4 : 5 . On the walls of the celebrated temple of Horus at Edfu have been found hieroglyphies , written about 100 B.C. , which enumerate the pieces of land owned by the priesthood , and give their areas . The ...
... sides are in the ratio 3 : 4 : 5 . On the walls of the celebrated temple of Horus at Edfu have been found hieroglyphies , written about 100 B.C. , which enumerate the pieces of land owned by the priesthood , and give their areas . The ...
Page 17
... angles , the equality of the angles at the base of an isosceles triangle , the bisec- tion of a circle by any diameter , and the congruence of two triangles having a side and the two adjacent angles equal THE GREEKS . 17 The Ionic School.
... angles , the equality of the angles at the base of an isosceles triangle , the bisec- tion of a circle by any diameter , and the congruence of two triangles having a side and the two adjacent angles equal THE GREEKS . 17 The Ionic School.
Page 18
Florian Cajori. triangles having a side and the two adjacent angles equal re- spectively . The last theorem he applied ... sides of equi- angular triangles to be proportional . The Egyptians must have made use of the above theorems on the ...
Florian Cajori. triangles having a side and the two adjacent angles equal re- spectively . The last theorem he applied ... sides of equi- angular triangles to be proportional . The Egyptians must have made use of the above theorems on the ...
Page 21
... sides . He had probably learned from the Egyptians the truth of the theorem in the special case when the sides are 3 , 4 , 5 , respectively . The story goes , that Pythagoras was so jubilant over this discovery that he sacrificed a ...
... sides . He had probably learned from the Egyptians the truth of the theorem in the special case when the sides are 3 , 4 , 5 , respectively . The story goes , that Pythagoras was so jubilant over this discovery that he sacrificed a ...
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60 cents abacus Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called 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 formula fractions Gauss gave geometry given 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 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