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 104
... equimultiples whatever . Then E shall be to B as F to D. Take of E and F any equimultiples whatever , K and L ; and of B and D any equimultiples whatever , G and H. It may be shown as before , that K is the same multiple of A , that L ...
... equimultiples whatever . Then E shall be to B as F to D. Take of E and F any equimultiples whatever , K and L ; and of B and D any equimultiples whatever , G and H. It may be shown as before , that K is the same multiple of A , that L ...
Seite 106
... equimultiples ; and of B and D , the second and fourth , E and F are equimultiples . But G is less than E. Therefore H is less than F ( V. Def . 5 ) , that is , F is greater than H. Wherefore , if E be greater than G , F is greater than ...
... equimultiples ; and of B and D , the second and fourth , E and F are equimultiples . But G is less than E. Therefore H is less than F ( V. Def . 5 ) , that is , F is greater than H. Wherefore , if E be greater than G , F is greater than ...
Seite 114
... equimultiples whatever GH , HK , LM , and MN ; and of BE , D F , any other equimultiples what- ever K O and N P. Because K O and N P are equimultiples of B E and DF ; and K H and N M are likewise equimultiples of BE and DF . If KO , the ...
... equimultiples whatever GH , HK , LM , and MN ; and of BE , D F , any other equimultiples what- ever K O and N P. Because K O and N P are equimultiples of B E and DF ; and K H and N M are likewise equimultiples of BE and DF . If KO , the ...
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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