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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Αποτελέσματα 1 - 3 από τα 69.
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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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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