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 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 ...
Σελίδα 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 ...
Σελίδα 114
... equimultiples whatever G H , HK , LM , and MN ; and of B E , 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 KH and N M are likewise equimultiples of BE and D F. If KO ...
... equimultiples whatever G H , HK , LM , and MN ; and of B E , 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 KH and N M are likewise equimultiples of BE and D F. If KO ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC 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 A B 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