The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 103
... reason , KF is the same multiple of B , that L H is of D. Because the first EK is the same multiple of the second B , which the third G L is of the fourth D , and the fifth K F is the same multiple of the second B , which the sixth LH ...
... reason , KF is the same multiple of B , that L H is of D. Because the first EK is the same multiple of the second B , which the third G L is of the fourth D , and the fifth K F is the same multiple of the second B , which the sixth LH ...
Seite 140
... reason , the triangle E C D is similar to the triangle L H K. Therefore the similar polygons ABCDE and F G H KL are divided into the same number of similar triangles . Again , because the triangles are similar , the triangle ABE has to ...
... reason , the triangle E C D is similar to the triangle L H K. Therefore the similar polygons ABCDE and F G H KL are divided into the same number of similar triangles . Again , because the triangles are similar , the triangle ABE has to ...
Seite 193
... reason , H K is parallel to A B. Therefore HEBK is a parallelogram , and H K is equal ( I. 34 ) to E B. But E B is equal to AE . Therefore also A E is equal to H K , and  H is equal to HD . Wherefore EA and A H are equal to KH and HD ...
... reason , H K is parallel to A B. Therefore HEBK is a parallelogram , and H K is equal ( I. 34 ) to E B. But E B is equal to AE . Therefore also A E is equal to H K , and  H is equal to HD . Wherefore EA and A H are equal to KH and HD ...
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Häufige Begriffe und Wortgruppen
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