The elements of Euclid for the use of schools and colleges : books I., II., III. (1876)
Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 90
&c. q.e.d. PROPOSITION 13. THEOREM. One circle cannot toucli another at more points thanone, whether it touches it on the inside or outside. For, if it be possible, let the circle EBF touch thecircle ABC at more points than one; and first on theinside, at the points B, D. Join BD, and draw… … and therefore the centre of each circle is in the straightline GH which bisects BD at right angles; [III. 1, Corol.therefore (y/Z^ passes through the point of contact. [III. 11.But GH does not pass through the point of contact, be-cause the points B, I) are out of the line GH;which is absurd.…
Geometry · Euclid's Elements · Mathematics, Greek
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