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 124
... base B C is to the base CD , so is the triangle A B C to the triangle A CD ; and as the base B C is to the base CD , so is the parallelogram E C to the parallelogram C F. Produce B D both ways to the points H and L , and take any number ...
... base B C is to the base CD , so is the triangle A B C to the triangle A CD ; and as the base B C is to the base CD , so is the parallelogram E C to the parallelogram C F. Produce B D both ways to the points H and L , and take any number ...
Σελίδα 183
... bases . The base EH is to the base N P as CM is to A G. If the base EH be equal to the base NP ; because the 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 ...
... bases . The base EH is to the base N P as CM is to A G. If the base EH be equal to the base NP ; because the 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 ...
Σελίδα 184
... 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 of which the insisting straight lines are at right angles to their bases , are reciprocally ...
... 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 of which the insisting straight lines are at right angles to their bases , are reciprocally ...
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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