 | Edinburgh univ - 1871 - 392 pages
...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, is equal to the square of the line which touches it. 6. Prove that similar triangles are to one another... | |
 | Euclides - 1872 - 102 pages
...tangent. PROPOSITION XXXVII. THEOREM. If, from a point without a circle there be dratcn two straight lines, one of which cuts the circle, and the other...square of the line which meets it, the line which meets must touch the circle. Let A be a pt . without the © BCD, of which O is the centre. From A let two... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 square on the line which touches it. Let D be any pt. without the © ABC, and... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...which touches the circle. XXXVII. — If from a point without a circle there be drawn two straight lines, one of which cuts the circle and the other...contained by the whole line which cuts the circle, anil the part of it without the circle be equal to the square on the line which meets it, the line... | |
 | University of Madras - 1873 - 436 pages
...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.... | |
 | Bombay city, univ - 1874 - 648 pages
...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...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 tangent to it.... | |
 | Euclides - 1874 - 342 pages
...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 on the line which touches it. Let D be any point without the circle ABC,... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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, shall be equal to the square on the line which touches it. 8. Inscribe a circle in a given triangle.... | |
 | Edward Atkins - 1874 - 426 pages
...the circle. Proposition 37.— Theorem. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...without a cirele, 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, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
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IF from a point without a 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... 
