 | George Darley - Euclid's Elements - 1836 - 172 pages
...under the segments of one is equal to the rectangle under the segments of the other, 110. ART. 156. If from a point without a circle a secant and a tangent be drawn to the circle, the square of the tangent is equal to the rectangle under the whole secant... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...EH; therefore the rectangle AE'EC, is equal to the rectangle BE • ED. PROPOSITION XXXVI. THEOREM. If from a point without a circle a secant and a tangent to it be drawn, the rectangle under the secant and its external segment is equal to the square of the... | |
 | Euclides - 1860 - 288 pages
...the rectangle AE • EC is equal to the rectangle BE • ED. *»* See Appendix — Proposition (D). If from a point without a circle a secant and a tangent to it be drawn, the rectangle under the secant and its external segment is equal to the square on the... | |
 | United States Naval Academy - 1874 - 888 pages
...triangle, or circle deribed upon the side as diameter ? Give reasons for your answer. I. Prove that if, from a point without a circle, a secant and a tangent bo drawn, a tangent ie a mean proportional between the whole secant and the part without i- circle.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...PQ) = rectangle (RX, XS). (Ii. 2) Lastly, if neither of them pass through the centre, THEOREM (<?). If from a point without a circle a secant and a tangent be drawn, the rectangle contained by the parts of the secant between the given point and the circle... | |
 | Scotland free church, gen. assembly - 1876 - 1072 pages
...equations : (1.) (2.) 4x-lly=9. 5. To draw a tangent to a circle from a given point without it. 6. If, from a point without a circle, a secant and a tangent to it be drawn, the square on the tangent is equal to - (complete the enunciation, and prove the theorem).... | |
 | 1876 - 646 pages
...sides is equi-distant from them, equal in length to half their sum, and bisects the opposite side. 3. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...the shortest side of the one, : 0 Н, the shortest side of the other. PROPOSITION XIII. THEOREM. 292. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...shortest side of the one, : 0 Н, the shortest side of the other. QED X PROPOSITION XIII. THEOREM. 292. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.... | |
 | Euclides - 1884 - 434 pages
...that AP-PB = a given square. Determine the square. 6. Prove VI. B, and VI. C. PROPOSITION 36. THEOREM. If from a point without a circle a secant and a tangent be drawn to the circle, the rectangle contained by the secant and its external segment shall be equal... | |
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If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment. 
