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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Αποτελέσματα 1 - 3 από τα 82.
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 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