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. Plane Geometry - Page 184by John Wesley Young, Albert John Schwartz - 1915 - 223 pagesFull view - About this book
| George Darley - Geometry - 1836 - 128 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... | |
| Robert Simson, John Playfair - Euclid's Elements - 1837 - 240 pages
...rectangle GE- 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
...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... | |
| 1874
...rectangle (PX, 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... | |
| 1874
...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.... | |
| 1876
...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.... | |
| 1876
...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).... | |
| George Albert Wentworth - Geometry - 1877 - 398 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, Plane - 1881 - 250 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.... | |
| John Sturgeon Mackay - 1884
...such 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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