 If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.  Plane and Solid Geometry - Page 150by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagesFull view - About this book
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...the middle points of PA, PB and PC lie upon a circumference touching the first circumference at P. 6. If from a point without a circle a tangent and a secant are drawn, the tangent is a mean proportional between the whole secant and its external segment. 7.... | |
 | Alva Walker Stamper - Geometry - 1906 - 188 pages
...of the propositions in geometry that are based on proportion; for example, in the theorem, "If from without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and the external segment." Four line segments are here... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...6, and PC = 2, find PD. 666 If PA = 2, PB = 8, and PC = PD, find PC. PROPOSITION XXXII. THEOREM 379 If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...mean proportional between the whole diameter and the adjacent segment AD; that is, AB:AC= AC: AD 29. If from a point without a circle, a tangent and a secant are drawn, the tangent is a mean proportional between the whole secant and the f exterior segment;... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...6, and PC = 2, find PD. 666 If PA = 2, PB = 8, and PC = PD, find PC. PROPOSITION XXXII. THEOREM 379 If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.... | |
 | Alva Walker Stamper - Geometry - 1909 - 214 pages
...of the propositions in geometry that are based on proportion; for example, in the theorem, "If from without a circle a tangent and a. secant be drawn, the tangent is a mean proportional between the whole secant and the external segment." Four line segments are here... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...therefore similar. Form a proportion making PD the mean proportional. PROPOSITION IV 182. Theorem: If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the entire secant (to the concave arc) and its external sect. Prove. EXERCISES... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...and the second point of intersection of the secant and the circle. PROPOSITION XXXIII. THEOREM. 390. If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional betiveen the whole secant and its external segment.... | |
 | United States. Office of Education - 1911 - 1154 pages
...Define a parallelogram. (6) Prove that the opposite sides of a parallelogram are equal. 2. Prove that if from a point without a circle a tangent and a secant be drawn. the tangent is a mean proportional between the whole secant and its external segment. 3. Prove that the perpendiculars... | |
 | Education - 1911 - 1030 pages
...Define a parallelogram. (6) Prove that the opixisite sides of a parallelogram are equal. 2. Prove that if from a point without a circle a tangent and a secant be drawn. the tangent Is a mean proportional between the whole secant and its external segment. 3. Prove that the perpendiculars... | |
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