 | Euclides - 1864 - 262 pàgines
...rectangle BE, ED. (l. »x. 1.) Wherefore, if two straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines...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,... | |
 | William Walton - 1864 - 234 pàgines
...it has been proved that sq. on Z>.B=sq. on AC+ac[. on CD; therefore AB has been divided, &c. QEF 3. If from any point without a circle two straight lines...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... | |
 | University of Cambridge - 1864 - 694 pàgines
...ligure, and that the squares on these two parts shall together be equal to the square on the third. 3. If from any point without a circle two straight lines...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 pàgines
...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... | |
 | Woolwich roy. military acad - 1864 - 588 pàgines
...sides and angles of a parallelogram are equal to each other, and the diameter bisects it. 10. If from a point without a 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 by the whole... | |
 | Euclides - 1865 - 402 pàgines
...the segments of one of them is equal to the rectangle nnder the segments of the other ..... m. 35. 4. If from any point without a circle two straight lines...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... | |
 | Robert Potts - 1865 - 528 pàgines
...if two straight lines, &o. QED PROPOSITION XXXVI. THEOREM. If from 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 line which cuts the circle, and the part of... | |
 | John Playfair - 1855 - 350 pàgines
...has been shown, AE.E€ = GE.EH, and BE.ED=GE.EH ; therefore AE.EC=BE. Ett BG PROP. J.XXVI. THEOR. If from any point without a circle two straight lines...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 pàgines
...is equal to half the sum of the squares of the other two sides of the triangle. 3. If from any poinf without a circle two straight lines be drawn, one...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 - 426 pàgines
...to the rectangle BE, ED. [Axiom 1. Wherefore, if 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 tlie other touches it; the rectangle contained ly the whole line which cuts the circle, and the part... | |
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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... 
