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 183
... altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal . Therefore the altitude CM is not unequal to the altitude A G ; that is , C M is equal to A G. Wherefore the base E H ...
... altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal . Therefore the altitude CM is not unequal to the altitude A G ; that is , C M is equal to A G. Wherefore the base E H ...
Σελίδα 184
... altitude ; and the solid CD is equal ( XI . 29 or 30 ) to the solid DZ , being upon the same base XR , and of the same altitude . Therefore the solid BT is equal to the solid D Z. But the bases and altitudes of equal paral- lelopipeds ...
... altitude ; and the solid CD is equal ( XI . 29 or 30 ) to the solid DZ , being upon the same base XR , and of the same altitude . Therefore the solid BT is equal to the solid D Z. But the bases and altitudes of equal paral- lelopipeds ...
Σελίδα 207
... altitude ; and the cylinder EO is to the cylinder ES ( XII . 13 ) as the altitude MN is to the altitude M P , because the cylinder EO is cut by the plane TYS parallel to its opposite planes . Therefore the base A B C D is to the base ...
... altitude ; and the cylinder EO is to the cylinder ES ( XII . 13 ) as the altitude MN is to the altitude M P , because the cylinder EO is cut by the plane TYS parallel to its opposite planes . Therefore the base A B C D is to the base ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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