 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.  Secondary-school Mathematics - Page 360by Robert Louis Short, William Harris Elson - 1911Full view - About this book
 | 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 - 1898 - 284 pages
...£arcB(7(?); then A ACP and BCP are similar, and their homologous sides are 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.... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...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 and a secant drawn from the point P to the circle... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...tangent compare with the ratio of the tangent to the external segment of the secant? Theorem. If from a point without a circle a secant and a tangent are...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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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. Draw BC and BD. Ex. 448. If two circles intersect, the tangents drawn from any point in their... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...point of intersection of the secant and circumference. PROPOSITION XXXIII. THEOREM. 381. If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment. Let AD be a tangent and AC... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...point of intersection of the secant and circumference. PROPOSITION XXXIII. THEOREM. 381. If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment. Let AD be a tangent and AC... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...equal to the difference of the square of the hypotenuse and the square of the other leg. 381. If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment. 398. The area of a rectangle... | |
 | 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.... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...BC (?) ; then A ACP and BCP are similar, and their homologous 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.... | |
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