 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 its external segment.  Elements of Geometry - Σελίδα 118των Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Evan Wilhelm Evans - 1862 - 116 σελίδες
...Then, multiplying extremes and means, we get AExEC=BExED. Therefore, if two chords, etc. THEOREM XIII. 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... | |
 | Adrien Marie Legendre - 1863 - 464 σελίδες
...that is, the rectangles of each secant and its external segment are equal. PROPOSITION XXX. THEOREM. If from a point without a circle, a tangent and a secant be drawn, the secant terminating in the concave arc, the tangent will be a mean proportional between... | |
 | Richard Wormell - 1868 - 286 σελίδες
...arc required. For every angle AMB inscribed in the arc is equal to the angle CAB. Fig. 211. Fig. 212. 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.... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 σελίδες
...formed by a tangent and a chord is measured by half the arc included between its sides. 4. Prove that If from a point without a circle a tangent and a secant are drawn, the square of the tangent is equivalent to the rectangle of the whole secant and its external segment.... | |
 | Richard Wormell - 1870 - 304 σελίδες
...contained by the segments of the one is equal to the rectangle contained by the segments of the other. 49. 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... | |
 | William Chauvenet - 1871 - 380 σελίδες
...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... | |
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