Great Moments in Mathematics (before 1650)Mathematical Association of America, 1980 - 270 pages |
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Page 74
... solid geometry , cover- ing much of the material , with the exception of that on spheres , commonly found in present - day high school texts . We shall see , in our next lecture , that the fundamental material on spheres was supplied ...
... solid geometry , cover- ing much of the material , with the exception of that on spheres , commonly found in present - day high school texts . We shall see , in our next lecture , that the fundamental material on spheres was supplied ...
Page 75
Howard Eves. solid geometry texts is largely that found in Euclid's Books I , III , IV , VI , XI , and XII . The material in the current high school texts concerning the measurement of the circle and the sphere , and the material in solid ...
Howard Eves. solid geometry texts is largely that found in Euclid's Books I , III , IV , VI , XI , and XII . The material in the current high school texts concerning the measurement of the circle and the sphere , and the material in solid ...
Page 210
... solid use a sphere of diameter equal to the altitude of the spherical ring ( pictured in the right of Figure 64 ) . Now cut the two solids by a horizontal plane at distance h from the centers of the two solids . In the spherical ring we ...
... solid use a sphere of diameter equal to the altitude of the spherical ring ( pictured in the right of Figure 64 ) . Now cut the two solids by a horizontal plane at distance h from the centers of the two solids . In the spherical ring we ...
Contents
LECTURE TWO The greatest Egyptian pyramid | 8 |
LECTURE FOUR The first great theorem | 26 |
LECTURE FIVE Precipitation of the first crisis | 43 |
Copyright | |
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abacus algebra algorithm altitude analytic geometry ancient angle Archimedes arithmetic Arithmetica base Book Cavalieri century chord circle compasses computing congruent construction counters cube cubic equation curve cylinder denote Descartes digit Diophantus divides divisor ellipse equal Euclid's Elements Euclidean Eudoxian Fermat Fibonacci Figure formula Further Reading given golden ratio Greek Hindu Hindu-Arabic numeral system hypotenuse integers irrational number Kepler known later lecture legs length Liber abaci line segment logarithms mathematician method MOMENTS IN MATHEMATICS multiplication Napier obtain pair parallel perfect numbers plane polygon positive integers problem proof proposition Prove Ptolemy's Ptolemy's theorem pyramid Pythagorean theorem Pythagorean triple quadratic quadrilateral quartic equation radius rational number relatively prime right triangle roots sequence Show side solid solution solve sphere spherical square straightedge symbols tangent tetrahedron tion triangle ABC trisection vertex volume whence