 | George Albert Wentworth - 1884 - 264 pages
...secant and the external segment is constant in whatever direction the secant is drawn. 166. Theorem. 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 external segment. PROBLEMS. 167. To divide a... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...point within a circle any chord . is drawn, the product of its two segments is constant. THEOREM XIX. 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 part. Let AB... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...that is, the rectangles of each secant and its external segment arc equal. PROPOSITION XXX. THEOREM. If from a point without a circle, a tangent and a secant are drawn, the secant terminating in the concave arc, the tangent is a t1tfan proportional between the secant and... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...segments are reciprocally proportional. Corollary. If a tangent and a secant intersect, the tangent is a mean proportional between the whole secant and its external segment. BOOK IV. THEOREMS. PROPOSITION I. Parallelograms having equal bases and equal altitudes are equivalent. PROPOSITION... | |
 | William Chauvenet - Geometry - 1887 - 336 pages
...segments are reciprocally proportional. Corollary. If a tangent and a secant intersect, the tangent is a mean proportional between the whole secant and its external segment. BOOK IV. THEOREMS. PROPOSITION I. Parallelograms having equal bases and equal altitudes are equivalent. Corollary.... | |
 | George Albert Wentworth - 1889 - 276 pages
...secant and the external segment is constant in whatever direction the secant is drawn. 166. Theorem. 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 external segment. PROBLEMS. 167. To divide a... | |
 | George Albert Wentworth - 1889 - 264 pages
...secant and the external segment is constant in whatever direction the secant is drawn. 166. Theorem. 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 external segment. PROBLEMS. 167. To divide a... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...= 20, and CD = 24, find the lengths of CP and DP when CD bisects AB. Proposition 3O. Theorem. 339. 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. Hyp.... | |
 | 1893 - 762 pages
...There was one universal shout for Nature." PUEE MATHEMATICS.— PAST I. The Board of Examiners. 1. 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 shall... | |
 | William Chauvenet - 1893 - 340 pages
...segments are reciprocally proportional. Corollary. If a tangent and a secant intersect, the tangent is a mean proportional between the whole secant and its external segment. BOOK IV. THEOREMS. PROPOSITION I. Parallelograms having equal bases and equal altitudes are equivalent. PROPOSITION... | |
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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. 
