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 174
... solid K R , as also to three planes of the solid A V. But the three planes opposite to these three are equal and similar ( XI . 24 ) to them in the several solids , and none of their solid angles are contained by more than three plane ...
... solid K R , as also to three planes of the solid A V. But the three planes opposite to these three are equal and similar ( XI . 24 ) to them in the several solids , and none of their solid angles are contained by more than three plane ...
Σελίδα 183
... solid A B is ( Hyp . ) equal to the solid CD , CM is equal to A G. For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal ...
... solid A B is ( Hyp . ) equal to the solid CD , CM is equal to A G. For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal ...
Σελίδα 184
... solid A B is equal to the solid CD , and the solid A B is equal ( XI . 29 or 30 ) to the solid BT , for they are upon the same baso FK , and of the same altitude ; and the solid CD is equal ( XI . 29 or 30 ) to the solid DZ , being upon ...
... solid A B is equal to the solid CD , and the solid A B is equal ( XI . 29 or 30 ) to the solid BT , for they are upon the same baso FK , and of the same altitude ; and the solid CD is equal ( XI . 29 or 30 ) to the solid DZ , being upon ...
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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