The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 110
G- A as B L Η K C E- D F M- N- Because A is to B as C is to D , and G and H are taken equimultiples of A and C ; and L and M , of B and D. If G be greater than L , H is greater than M ; if equal , equal ; and if less , less ( V. Def .
G- A as B L Η K C E- D F M- N- Because A is to B as C is to D , and G and H are taken equimultiples of A and C ; and L and M , of B and D. If G be greater than L , H is greater than M ; if equal , equal ; and if less , less ( V. Def .
Seite 116
If there be three magnitudes , and other three , which , taken two and two , have the same ratio ; and if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less .
If there be three magnitudes , and other three , which , taken two and two , have the same ratio ; and if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less .
Seite 212
ratio of that which A B has to the radius of the less ; that is , which the diameter B D of the greater has to the diameter of the less sphere . Corollary 2. - Every face of a polyhedron inscribed in a sphere is inscribable in a circle ...
ratio of that which A B has to the radius of the less ; that is , which the diameter B D of the greater has to the diameter of the less sphere . Corollary 2. - Every face of a polyhedron inscribed in a sphere is inscribable in a circle ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third triangle triangle ABC twice vertex Vols Wherefore whole