 | Euclides - 1864 - 262 pages
...circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight tinea, one of which cuts the circle, and the other meets...if the rectangle contained by the whole line which cult the circle. and the part of it without the circle, be equal to the square on the line which meets... | |
 | William Walton - Mathematics - 1864 - 234 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. If from a given point A without a given... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...drawn, one of which cuts the circle, but does not pass through the centre, 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 the circle. Two circles intersect, AB is their common... | |
 | University of Cambridge - 1864 - 694 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. If from a given point A without a given... | |
 | Euclides - 1864 - 448 pages
...tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to the square on the line which touches it. Let D be any point... | |
 | Robert Potts - 1865 - 528 pages
...the circle. PROPOSITION XXXVII. 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 ; if the rectangle contained by tlie whole line which outs tfa circle, and the part of it without the circle, be equal to the square... | |
 | Euclides - 1865 - 402 pages
...it ........ m. 36. 5. And conversely, 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 under the whole line which cuts the circle, and the part of it without the circle, be equal to the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the circle. PROPOSITION 87. THEOREM. If from any 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the circle. PROPOSITION 87. THEOREM. If from any point without a circle there lie 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... | |
 | Robert Potts - 1868 - 434 pages
...circle. PROPOSITION XXXVII. THEOREM. /f from a point without a circle there be drawn two straight 'ines, one of which cuts the circle, and the other meets...the rectangle contained by the whole line which cuts ike circle, and the part of it without the circle, he equal lo the square on the line which meets it,... | |
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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... 
