The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 64
B For if it be possible , let E B F 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 B and D are in the circumference of both circles the straight line B D lies ( III .
B For if it be possible , let E B F 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 B and D are in the circumference of both circles the straight line B D lies ( III .
Σελίδα 70
1 ) , and join BF and FD . Because the angle BFD at the centre , and the ... Join AF , produce it to C , and join CE . ... which joins them , are in the circumference of a circle , of which that straight line is a chord . PROP . XXII .
1 ) , and join BF and FD . Because the angle BFD at the centre , and the ... Join AF , produce it to C , and join CE . ... which joins them , are in the circumference of a circle , of which that straight line is a chord . PROP . XXII .
Σελίδα 75
Join A B , and bisect ( I. 10 ) it at C. From the point C , draw CD at right angles ( I. 11 ) to A B. The arc A D B is bisected at the point D. Join AD and D B. Because AC is equal to C B , and C D common to the triangles ACD and BCD ...
Join A B , and bisect ( I. 10 ) it at C. From the point C , draw CD at right angles ( I. 11 ) to A B. The arc A D B is bisected at the point D. Join AD and D B. Because AC is equal to C B , and C D common to the triangles ACD and BCD ...
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