 | Euclides - 1864 - 262 Seiten
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. 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, thall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
 | Woolwich roy. military acad - 1864 - 588 Seiten
...circle two Straight lines be drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, the rectangle contained...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... | |
 | Euclides - 1864 - 448 Seiten
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight 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... | |
 | Robert Potts - 1865 - 528 Seiten
...any point without a circle tico straight lines be drawn, one of which cuts the circle, and the othar touches it ; the rectangle contained by the whole...the circle, and the part of it without the circle, thall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
 | Euclides - 1865 - 402 Seiten
...rectangle nnder the segments of the other ..... m. 35. 4. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other tonches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
 | John Playfair - 1855 - 350 Seiten
...BE.ED=GE.EH ; therefore AE.EC=BE. Ett BG PROP. J.XXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...touches it ; the rectangle contained by the whole lint which cvts the circle, and the part of it without the circle, is equal to the square of the line... | |
 | James Robert Christie - 1866 - 428 Seiten
...squares of the other two sides of the triangle. 3. If from any poinf without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained, &c. Prove the case in which the line that cuts the circle does not pass through the centre. 4. Triangles... | |
 | Euclid, Isaac Todhunter - 1867 - 424 Seiten
...two straight lines &c. QED , PROPOSITION 36. THEOREM. 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 the circle ABC, and let DCA, DB be two straight... | |
 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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 the circle, be equal to the square on the line which meets the circle, Uie line which meets the circle sltall touch... | |
 | Robert Potts - 1868 - 434 Seiten
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one oj trhich cuts the circle, and the other touches it ; the rectangle...which cuts the circle, and the part of it without lite circle, shall be equal to the square on the line which touches it. Let D be any point without... | |
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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... 
