 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
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...arc is equal to the angle CAB. Fig. 211. 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 part without the circle. 230. We have seen that, if from a point 0 two secants be drawn (fig. 212)... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...is, if through a fixed point without a circle a tangent to the circle is drawn, and also any secant, the tangent is a mean proportional between the whole secant and its external segment. 60. Scholium I. When a secant, constantly passing through a fixed point, changes its direction, the... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...is, if through a fixed point without a circle a tangent to the circle is drawn, and also any secant, the tangent is a mean proportional between the whole secant and its external segment. 60. Scholium I. When a secant, constantly passing through a fixed point, changes its direction, the... | |
 | Edward Olney - 1872 - 270 pages
...Theorem.—If from a point without a circle a tangent be drawn, and a secant terminating in the concave arc, the tangent is a mean proportional between the whole secant and its external seg° ment; whence the square of the tangent equals \P_ the product of the secant into its external... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...— Jf from a point without a circle a tangent be drawn, and a secant terminating in the concave arc, the tangent is a mean proportional between the whole secant and its external seg° ment; whence the square of the tangent equals the product of the secant into its external segment.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...equal ; and we shall then have the rectangle contained by BP and PA, equal to the square on PT. Hence, if through a fixed point without a circle a secant and a tanflinl be drawn, the rectangle contained by thewhole secant and its exicriuil segment is equal to... | |
 | Edward Olney - Geometry - 1876 - 354 pages
...Theorem.—If from a point without a circle a tangent be drawn, and a secant terminating in the concave arc, the tangent is a mean proportional between the whole secant and its external segment; whence the square of the tangent equals the product of the secant into its external segment. FIG, DEM.—OA... | |
 | Richard Wormell - 1876 - 268 pages
...EC : EB; or, EA:EB = EC2. (4). Hence, if from a point w1tnout tne cIrcte a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and the part w1thout the circle. Secants of Two Circles. — In any two circles, the secants joining the... | |
 | 1876 - 646 pages
...their sum, and bisects the opposite side. 3. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle. 4. (a) Define a geometric locus. (b) If the base and vertical angle of... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...Theorem.—If from a point without a circle a tangent be drawn, and a secant terminating in the concave arc, the tangent is a mean proportional between the whole secant and its external segment; whence the square of the tangent equals the product of the secant into its external seg~ ment. FIG.... | |
| |
