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 58
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC and BD two straight lines in it which cut one another in the point E , but do not pass through the centre . The straight lines A C and B D do not ...
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC and BD two straight lines in it which cut one another in the point E , but do not pass through the centre . The straight lines A C and B D do not ...
Σελίδα 63
... pass through that point . Let the two circles A B C , A D E touch each other externally in the point A. The straight line which joins their centres passes through the point of contact A. pass other- For if the straight line joining ...
... pass through that point . Let the two circles A B C , A D E touch each other externally in the point A. The straight line which joins their centres passes through the point of contact A. pass other- For if the straight line joining ...
Σελίδα 79
... pass through the centre , and cut the other A C , which does not pass through the centre , at right angles , in the point E. Find F , the centre of the circle A B C D , and join A F. Because BD passing through the centre , cuts the ...
... pass through the centre , and cut the other A C , which does not pass through the centre , at right angles , in the point E. Find F , the centre of the circle A B C D , and join A F. Because BD passing through the centre , cuts the ...
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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