 | James Howard Gore - Geometry - 1898 - 232 pages
...each other in a circle, their segments are reciprocally proportional. PROPOSITION XIX. THEOREM. 233. 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 the external segment. Let PC and PB be a tangent... | |
 | 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.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 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 AIl be... | |
 | 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... | |
 | 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 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... | |
 | James Howard Gore - Geometry - 1902 - 266 pages
...number of chords are drawn, the products of their segments are all equal. PROPOSITION XIX. THEOREM. 233. If from a point without a circle a tangent and a secant be draivn, the tangent is a mean proportional between the whole secant and the external segment. Let PC... | |
 | Massachusetts - 1903 - 1006 pages
...proportionally. Prove when the segments of each side are incommensurable, only. 2. If through a fixed point without a circle a tangent and a secant be drawn, the product of the whole secant and its external segment is equal to the square of the tangent. (Prove.)... | |
 | Education - 1904 - 350 pages
...chords of a circle is nearer the centre. State and prove the converse of this proposition. 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. Construct a mean proportional... | |
 | 1905 - 212 pages
...cut it at right angles, it also bisects it. {/i) Draw a tangent to a circle from a given point. (c) If from a point without a circle a tangent and a secant be drawn, then the rectangle contained by the whole secant and the part of it without the circle is equal to... | |
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If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment. 
