 | Richard Wormell - 1870 - 304 σελίδες
...secant and the part without the circle (§230). Or, If from any point without a circle two straight lines be drawn, one of which cuts the circle and the...cuts the circle and the part of it without the circle is equal to the square of the tangent. 50. The line joining the centres of two circumferences is perpendicular... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...parallelograms are on opposite sides of the bases. 5. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, is equal to the square of the line which touches it. 6. Prove that similar triangles are to one another... | |
 | Euclides - 1872 - 102 σελίδες
...the rectangle CP", CQ.' PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and...it; the rectangle contained by the whole line which cute the circle, and the part of it without the circle, must be equal to the square on the line which... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the... | |
 | Henry Major - 1873 - 588 σελίδες
...AE, EC is equal to the rectangle BE, ED. XXXVI. — If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...it without the circle, shall be equal to the square on the line which touches it. Let D be any point without ABC, and DC A, DB be two straight lines drawn... | |
 | University of Madras - 1873 - 436 σελίδες
...which cuts the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle ,s equal to the square on the line which tenches it. THUKSDAT, 19iH DEC., 2 TO 5 PM INDIAN HISTORY.... | |
 | Edward Atkins - 1874 - 426 σελίδες
...from a point without a circle two straight lines be drawn, one of which cuts the circle, and the oiher touches it; the rectangle contained by the whole line...the circle, and the part of it without the circle, slwtt be equal to the square an, t/ie line which touches it. Let D be any point without the circle... | |
 | Euclides - 1874 - 342 σελίδες
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, be equal to the square on the line which, meets it, the line which meets, shall touch the circle. Let... | |
 | Bombay city, univ - 1874 - 648 σελίδες
...circle there be drawn two 10 straight linos one of which cuts the circle and tho other meets it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to tho square of the lino which meets it, then the line which meets the circle shall bo a... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...produced. Prove that the chords .SPand BQ are equal. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it j the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,... | |
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IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square... 
