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Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)

Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 71

An illustration from Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States, 1856, leaf 71
le of the arc MHP (p. 6) ; therefore, the arcsMH^ HP^ included between the parallels AB^ JDE^ areequal. Third. If the two parallels DE^ IL^ are tangents, theone at H^ the other at K^ draw the parallel secant AB;and, from what has just been shown, we shall have 2IH=HP, MK=KP:and hence, the whole are… … PKOPOSITION XI. THEOEEM. If two circumferences have one jioint common, out of the straightlirie which joins their centres, they will also have a secorJipoint in common ; and the two points ivill he situated in aline perpendicular to the line joining the centres^ and aiequal distances from it. Let…

Geometry · Trigonometry

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