The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 98
... fourth : or , if the multiple of the first be greater than that of the second , the mul- tiple of the third is also greater than that of the fourth . This is the most important definition of the Fifth Book . Upon it , as a hinge or ...
... fourth : or , if the multiple of the first be greater than that of the second , the mul- tiple of the third is also greater than that of the fourth . This is the most important definition of the Fifth Book . Upon it , as a hinge or ...
Σελίδα 102
... fourth , and the fifth the same multiple of the second that the sixth is of the fourth ; then the first together with the fifth is the same multiple of the second , that the third together with the sixth is of the fourth . Let A B the ...
... fourth , and the fifth the same multiple of the second that the sixth is of the fourth ; then the first together with the fifth is the same multiple of the second , that the third together with the sixth is of the fourth . Let A B the ...
Σελίδα 103
... fourth ; and of A and C let equimultiples EF and GH be taken . EF is the same multiple of B , that G H is of D ... fourth D , and the fifth K F is the same multiple of the second B , which the sixth LH is of the fourth D. Therefore , E F ...
... fourth ; and of A and C let equimultiples EF and GH be taken . EF is the same multiple of B , that G H is of D ... fourth D , and the fifth K F is the same multiple of the second B , which the sixth LH is of the fourth D. Therefore , E F ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore