Text-book of Euclid's elements for the use of schools : books I - VI and XI (1900)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1853-1933 · MacMillan : London · leaf 212
*. DA is greater than DG. i. 19. But DA=DH, i. Def. 15. /. DH is greater than DG,the part greater than the whole, which is impossible. Therefore no st. line can be drawn from the point A, so as not tocut the circle, except AE. Corollary. (i) A tangent touches a circle at one point only. Corollary,… … Let BCD be the given circle, and A the given point.It is required to draw from A a tangent to the O CDB.Case I. When the given point A is on the Oce. Construction. Find E, the centre of the circle. III. 1. Join EAAt A draw AK at rt. angles to EA. I. 11. Proof. Then AK being perp to a diameter at…
Geometry · Mathematics
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