 | Marquis Joseph Newell - 1920 - 424 pages
...divides the opposite side into segments that are proportional to the adjacent sides of the angle. VI. 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. VII.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...common chord the secants PA and PC are drawn, then PA x PB = PC x PD. * PROPOSITION XXXII. THEOREM 322. If from a point without a circle, a tangent and a secant are drawn, the tangent is the mean proportional between the secant and its external segment. Given... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...diameter AF be drawn, then AB : AD = AF : AC. Ex. 6. In the same diagram, BD : FC = AD : AC. Ex. 6. // 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. Ex. 7. If a diameter AB be produced... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...circle, the product of the segments of the one is equal to the product of the segments of the other. *b. 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.... | |
 | New York (State). Dept. of Civil Service - 1886 - 314 pages
...If in any triangle aline be drawn parallel to the base, how will it divide the sides ? Question 8. If from a point without a circle a tangent and a secant be drawn, what will be the relation between the tangent and secant? Political Economy. Question 1. What is money?... | |
 | Harvard University - Education - 1876 - 324 pages
...triangles thus formed ? Prove. How is this proposition useful in proving the Pythagorean proposition. 4. If from a point, without a circle, a tangent and a secant are drawn, the tangent is a mean proportional between the entire secant and the part without the circle.... | |
 | Mathematics - 1904 - 1000 pages
...proving the triangles similar the required proportionalities may be established. After proving 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," how many teachers strike... | |
 | University of Mississippi - 1903 - 170 pages
...included by the opposite sides (produced) of an inscribed quadrilateral intersect at right angles. 5. 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 external sequent. 6.... | |
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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. 
