 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.  Elements of Plane Geometry - Side 114av Thomas Hunter - 1878 - 132 siderUten tilgangsbegrensning - Om denne boken
 | Adrien Marie Legendre - 1822 - 394 sider
...demonstrated. PROPOSITION XXX. THEOREM. If from the same point O without a circle, a tangent OA and a secant OC be drawn, the tangent will be a mean proportional between the secant and its external segment ; that is, we shall have OC : OA : : OA : OD ; or, which is the same thing, OAZ=OC.OD. For, joining... | |
 | Adrien Marie Legendre - 1828 - 346 sider
...regarded as a particular case of the proposition just demonstrated. THEOREM. 228. If from the same point without a circle, a tangent and a secant be...proportional between the secant, and its external segment. From the point O, let the tangent OA, and the secant OC be drawn ; then will, OC : OA : : OA : OD,... | |
 | John Playfair - 1829 - 210 sider
...arches which they intercept is equal to half the circumference. PROPOSITION E. THEOREM. E». If from any point without a circle a tangent and a secant be drawn, the angle which they contain is equal to an angle at the circumference of the circle standing on an arch... | |
 | Timothy Walker - 1829 - 138 sider
...This we shall find to be a very useful problem. 81. — If from a point without a circle a tangent and secant be drawn, the tangent will be a mean proportional between the entire .secant and the part without the circle — . Thus if O F48 (fig. 48) be the poiut, 0 A the... | |
 | Adrien Marie Legendre - 1836 - 394 sider
...a particular case of the proposition just demonstrated. PROPOSITION XXX. THEOREM. If from the same point without a circle, a tangent and a secant be...proportional between the secant and its external segment. From the point O, let the tangent OA, and the secant OC be be drawn ; then will OC : OA : : OA : OD,... | |
 | Adrien Marie Legendre - 1837 - 376 sider
...PROPOSITION XXX. THEOREM. If from the same 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. From the point O, let the tangent OA, and the secant OC be be drawn ; then will • • OC : OA : :... | |
 | James Bates Thomson - 1844 - 268 sider
...triangles are similar; consequently OC : OA : : OA : OD ; or, (5. 3 ;) OAa=OC.OD. Hence, If from the same point without a circle, a tangent and a secant be...proportional between the secant and its external segment. PROBLEMS RELATING TO THE FOURTH BOOK. PROBLEM I. To divide a given straight line into any number of... | |
 | Nathan Scholfield - 1845 - 894 sider
...just demonstrated. PROPOSITION XXXVII. THEOREM. If from the same point without a circle, a tangent and secant be drawn, the tangent will be a mean proportional between the secant and its external segment. From the point 0, let the tangent OA, and the secant OC, be drawn ; then will OC : OA: :OA : OD, or... | |
 | George Roberts Perkins - 1847 - 326 sider
...progression. A PROPOSITION XXI. THEOREM. If, from the same point without a circle, a tangent and secant line be drawn, the tangent will be a mean proportional between the secant and its external segment. From the point B, let the tangent BA, and the secant BC, be drawn ; then will BC : BA : : BA : BD,... | |
 | Charles Davies - 1849 - 372 sider
...the rectangle OA.OB is equal to the rectangle OC.OD. 8" PROPOSITION XXX. THEOREM. If from the same point without a circle, a tangent and a secant be...proportional between the secant and its external segment. From the point O, let the tangent OA, and the secant OC be be drawn ; then will OC : OA : : OA : OD,... | |
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