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 24
... interior and opposite angle EFG . But the angle A EF is equal ( Hyp . ) to the angle EF G. Therefore the angle A EF is both greater than , and equal to the angle E F G ; which is impossible . Wherefore AB , CD being produced , do not ...
... interior and opposite angle EFG . But the angle A EF is equal ( Hyp . ) to the angle EF G. Therefore the angle A EF is both greater than , and equal to the angle E F G ; which is impossible . Wherefore AB , CD being produced , do not ...
Σελίδα 26
... interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles . Let A B C be a triangle , and let one of its sides B C be produced to D. Then the exterior angle ACD is equal to the ...
... interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles . Let A B C be a triangle , and let one of its sides B C be produced to D. Then the exterior angle ACD is equal to the ...
Σελίδα 27
... interior and opposite angles CA B , ABC . To each of these equals , add the angle A CB . Therefore the two angles A ... interior angles of any rectilineal figure together with four right angles are equal to twice as many right ...
... interior and opposite angles CA B , ABC . To each of these equals , add the angle A CB . Therefore the two angles A ... interior angles of any rectilineal figure together with four right angles are equal to twice as many right ...
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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