Selected propositions in geometrical constructions and applications of algebra to geometry. Being a key to the appendix of Davies' Legendre (1875)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York, Chicago [etc.] A.S. Barnes & company · leaf 29
centre A, de-scribe the circle AR; through B draw BR tangent to this auxiliarycircle, and let AR be drawn through the point of contact R, andprolonged to T ; draw the radius BL, parallel to AT, and through thepoints T and L draw the line TL. Because AR is perpendicular to BR (Bk. Ill, Prop. 9), and… … PROPOSITIONS FROM LEGEKDRE. 23 AT and BL, at their extremities; TL is therefore tangent to both theo-iven circles; hence, TL is the required line. Scholium.—A second tangent may, in like manner, be constructedon the other side of the circles, and it may be shown that both inter-sect the line of…
Geometry
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