 | Adrien Marie Legendre - 1828 - 346 σελίδες
...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 drawn, the tangent will be a mean proportional between the secant, and its external segment. From the point O, let the... | |
 | John Playfair - 1829 - 210 σελίδες
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...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 drawn, the tangent will be a mean proportional between the secant and its external segment. From the point O, let the... | |
 | James Bates Thomson - 1844 - 268 σελίδες
...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 drawn, the tangent will be a mean proportional between the secant and its external segment. PROBLEMS RELATING TO THE FOURTH... | |
 | Elias Loomis - 1849 - 252 σελίδες
...in a circle are reciprocally proportional; that is, AE : DE : : EC:EB. PROPOSITION XXVIII. THEOREM. If from a point without a circle, a tangent and a secant be drawn, the square of the tangent will be equivalent to the rectangle contained by the whole secant and its external... | |
 | Charles Davies - 1849 - 372 σελίδες
...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 drawn, the tangent will be a mean proportional between the secant and its external segment. From the point O, let the... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...may 'be regarded as a particular case of the proposition just demonstrated. PROPOSITION XXX. THEOEEM. 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. From the point 0, let the... | |
 | Charles Davies - 1854 - 436 σελίδες
...be regarded as a particular case of the proposition just demonstrated. „ PROPOSITION XXX. THEOREM. 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. From the point O, let the... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 σελίδες
...be regarded as a particular case of the proposition just demonstrated. PROPOSITION XXX. THEOREM. Jf from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between tht secant and its external segment. From the point O, let the... | |
 | Elias Loomis - 1858 - 256 σελίδες
...in a circle are reciprocally proportional ; that is, AE : DE : : EC:EB. PROPOSITION XXVIII. THEOREM. If from a point without a circle, a tangent and a secant be drawn, the square of the tangent will be equivalent to the rectangle contained by the whole secant and its external... | |
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If, from a jwint without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and UK external segment. 
