The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 sider |
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Resultat 1-3 av 84
Side 23
... equal angles in each triangle be equal to one another ; viz . , AB to DE . Then their other sides are equal ; viz . , AC to DF and BC to EF . And the third angle BAC is equal to the third angle EDF . For , if BC be not equal to EF , one ...
... equal angles in each triangle be equal to one another ; viz . , AB to DE . Then their other sides are equal ; viz . , AC to DF and BC to EF . And the third angle BAC is equal to the third angle EDF . For , if BC be not equal to EF , one ...
Side 44
... equal to the squares of A C and CB , with twice the rectangle AC.CB. But the figures HF , CK , AG , and GE make up the whole figure A E , which is the square of A B. Therefore the square of AB is equal to the squares of A C and C B ...
... equal to the squares of A C and CB , with twice the rectangle AC.CB. But the figures HF , CK , AG , and GE make up the whole figure A E , which is the square of A B. Therefore the square of AB is equal to the squares of A C and C B ...
Side 183
... 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 . Therefore ...
... 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 . Therefore ...
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The Elements of Geometry. The First Six Books, with the Eleventh and Twelfth ... Euclid Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
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