A History of Mathematics |
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Page 27
... infinite divisibility , while Zeno , the Stoic , attempted to show its absurdity by proving that if magnitudes are infinitely divisible , motion is impossible . Zeno argues that Achilles could not overtake a tortoise ; for while he ...
... infinite divisibility , while Zeno , the Stoic , attempted to show its absurdity by proving that if magnitudes are infinitely divisible , motion is impossible . Zeno argues that Achilles could not overtake a tortoise ; for while he ...
Page 38
... infinite . The tenth book treats of the theory of incommensurables . The next three books are on stereometry . The eleventh contains its more elementary theorems ; the twelfth , the metrical relations of the pyramid , prism , cone ...
... infinite . The tenth book treats of the theory of incommensurables . The next three books are on stereometry . The eleventh contains its more elementary theorems ; the twelfth , the metrical relations of the pyramid , prism , cone ...
Page 94
... infinite and immutable Deity when worlds are destroyed or created , even though numerous orders of beings be taken up or brought forth . Though in this he apparently evinces clear mathematical notions , yet in other places he makes a ...
... infinite and immutable Deity when worlds are destroyed or created , even though numerous orders of beings be taken up or brought forth . Though in this he apparently evinces clear mathematical notions , yet in other places he makes a ...
Page 135
... infinite and the infini- tesimal subjects never since lost sight of . To England falls the honour of having produced the earliest European writers on trigonometry . The writings of Bradwardine , of Richard of Wallingford , and John ...
... infinite and the infini- tesimal subjects never since lost sight of . To England falls the honour of having produced the earliest European writers on trigonometry . The writings of Bradwardine , of Richard of Wallingford , and John ...
Page 169
... infinite number of triangles having their common vertices at the centre , and their bases in the circumference ; and the sphere to consist of an infinite number of pyramids . He applied conceptions of this kind to the determination of ...
... infinite number of triangles having their common vertices at the centre , and their bases in the circumference ; and the sphere to consist of an infinite number of pyramids . He applied conceptions of this kind to the determination of ...
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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.