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 63
... touch another internally in any point , that point and the centres of the two circles are in the same straight line . This will form an exercise for the student . PROP . XII . THEOREM . If two circles touch each other externally in any ...
... touch another internally in any point , that point and the centres of the two circles are in the same straight line . This will form an exercise for the student . PROP . XII . THEOREM . If two circles touch each other externally in any ...
Σελίδα 64
... touch A B C in another point D. Join BD , and draw G H bisecting ( I. 11 ) B D at right angles . Because the points ... touch another A B C , internally , in more points than one . Again , let the circle A CK touch the circle ABC ...
... touch A B C in another point D. Join BD , and draw G H bisecting ( I. 11 ) B D at right angles . Because the points ... touch another A B C , internally , in more points than one . Again , let the circle A CK touch the circle ABC ...
Σελίδα 68
... touch a circle , the straight line drawn from the centre to the point of contact is perpendicular to the line touching the circle . Let the straight line D E touch the circle A B C in the point C , and from F , the centre , let the ...
... touch a circle , the straight line drawn from the centre to the point of contact is perpendicular to the line touching the circle . Let the straight line D E touch the circle A B C in the point C , and from F , the centre , let the ...
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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