 | Marquis Joseph Newell - 1920 - 424 pages
...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. The areas of two similar polygons have the same ratio as the squares of any two corresponding... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...of the other secant and its external segment. THEOREM 105. If a secant and a tangent meet without a circle, the tangent is a mean proportional between the whole secant and its external segment. THEOREM 106. The bisector of an angle of a triangle divides the opposite side internally into segments... | |
 | Military Academy, West Point - 1934 - 964 pages
...It, through a point outside ft circle, a tangent and a secant are drawn to the circle, the length of the tangent is a mean proportional between the whole secant and its external segment. 4 10 Problem: A right line segment, AB, is produced toapoint Csuch that Л~52-ЛСХВС. To construct... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...point of intersection of the secant and the circle. PROPOSITION XIII. THEOREM 406. If from a point without a circle a secant and a tangent are drawn to the circle, the tangent is the mean proportional between the secant and its external segment. D Given AD a tangent and AC a secant... | |
 | Mathematics - 1904 - 1000 pages
...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 while the iron is hot by putting the student to work at once to find a mean... | |
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It follows from § 259 that 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. 
