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 107
... ( Const . ) . Therefore C is equal to F ( V. A. ) . But F is the same multiple of D that A is of B ( Const . ) . Therefore C is the same multiple of D that A is of B. Next , let A the first , be a part of B the second . The third C is the ...
... ( Const . ) . Therefore C is equal to F ( V. A. ) . But F is the same multiple of D that A is of B ( Const . ) . Therefore C is the same multiple of D that A is of B. Next , let A the first , be a part of B the second . The third C is the ...
Seite 108
... ( Const . ) . Therefore E G is greater than L. But F G is not greater than L ( Const . ) ; and EG and F G were proved to be equi- multiples of A B and BC ; and L is a multiple of D ( Const . ) . There- fore A B has to D a greater ratio ...
... ( Const . ) . Therefore E G is greater than L. But F G is not greater than L ( Const . ) ; and EG and F G were proved to be equi- multiples of A B and BC ; and L is a multiple of D ( Const . ) . There- fore A B has to D a greater ratio ...
Seite 113
... ( Const . ) . Therefore G H is the same multiple of A E , that G K is of A B ( V. 1 ) . But GH is the same multiple of AE that LM is of CF ( Const . ) . There- fore , G K is the same multiple of A B , that LM is of CF. Again , because L M ...
... ( Const . ) . Therefore G H is the same multiple of A E , that G K is of A B ( V. 1 ) . But GH is the same multiple of AE that LM is of CF ( Const . ) . There- fore , G K is the same multiple of A B , that LM is of CF. Again , because L M ...
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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 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