A school geometry. containing the substance of Euclid books II anfd III and part of book IV (1917)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1852-1933 · London : Macmillan · leaf 116
imilarly it may be shewn that the rect. CX, XD = r- - OYr. .. the rect. AX, XB = the rect. CX, XD. Q.E.D. Corollary. Each rectangle is equal to the square on half thechord vjhich is bisected at the given point X. RECTANGLES IN CONNECTION WITH CIROLKS. 233 Theorem 08. [Euclid III. 36.] If two choids… … In the 0 ABC,, let AB, CD be chords cuttings when produced,at the externaLpoint X; and let XT be a tangent drawn fromthat point ^^ It is required to pove that the rect. AX, XB = the red. CX, XD = the sq. on XT. Let O be the centre, and r the radius of the given circle.Suppose OE drawn perp. to the…
Geometry
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