 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.  Elements of Geometry - Page 145by Andrew Wheeler Phillips, Irving Fisher - 1896Full view - About this book
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...according to the definition. 4. ^ Prove that, if from a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and its external segment. 5. Prove what the area of a triangle is equal to; also of a trapezoid; also of a regular polygon. Define... | |
 | Yale University - 1898 - 212 pages
...be drawn a line tangent to the circle and also a line cutting it and not passing through the center, the tangent is a mean proportional between the whole secant and its external segment. 3. Construct an equilateral triangle whose perimeter shall be 12 inches, and inscribe in it a circle.... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...proportional.) 283. Cor. I. If through a fixed point without a circle a secant and a tangent be draion, the tangent is a mean proportional between the whole secant and its external segment. 284. Cor. n. If any two secants be drawn through a fixed point without a circle, the product of one... | |
 | Mathematics - 1898 - 228 pages
...be drawn a line tangent to the circle and also a line cutting it and not passing through the center, the tangent is a mean proportional between the whole secant and its external segment. 3. Construct an equilateral triangle whose perimeter shall be 12 inches, and inscribe in it a circle.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...sides are proportional.) 283. Cor. I. If through a fixed point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and its external segment. 284. Cor. n. If any two secants be drawn through a fixed point without a circle, the product of one... | |
 | Harvard University - Geometry - 1899 - 39 pages
...segment is the same for all directions of the secant. Corollary. If a tangent and a secant intersect, the tangent is a mean proportional between the whole secant and its external segment. BOOK IY. AREAS OF POLYGONS. THEOREM I. Parallelograms having equal bases and equal altitudes are equivalent.... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...whole secants and their external segments are reciprocally proportional. Proposition 158. Theorem. 193. 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. HINT.... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...external segment of the secant? Theorem. If from a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and the external segment. Data : Any circle, as BCD; any point without, as A ; any secant from A, as ADB... | |
 | Arthur Schultze - 1901 - 260 pages
...inscribed triangle ABC the altitude AD and the diameter AF be drawn, then AB : AD — AF: AC. Ex. 576. 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 exterior segment. Ex. 577. If a diameter AB be produced... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...inscribed triangle ABC the altitude AD and the diameter AF be drawn, then AB : AD = AF : AC. Ex. 576. 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 exterior segment. Ex. 577. If a diameter AB be produced... | |
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