 | John Playfair - 1806 - 320 ページ
...GE.EH, AE.EC = BE.ED, Wherefore, if two straight lines, &c. Q. E, D. PROP. XXXVI. THEOR. 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... | |
 | Robert Simson - 1806 - 546 ページ
...to the rectangle Bli, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. 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... | |
 | Euclides - 1816 - 588 ページ
...to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. 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... | |
 | Miles Bland - 1819 - 444 ページ
...intercepted by two lines drawn from its other extremity to the former intersections of the circle. 79- If from a point without a circle two straight lines be drawn touching it, and from one point of contact a perpendicular be drawn to that diameter which passes through... | |
 | John Playfair - 1819 - 350 ページ
...therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c. AV QED -^ PROP. XXXVI. THEOR. 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... | |
 | Miles Bland - 1821 - 898 ページ
...equal, and GO=OB, .-. EG = FB = BI; whence EI= GB, and /. EH, HF together are equal to El ie to GB or CD the diameter of the circle. (78. ) If from a point...extremity to the former intersections of the circle. From the point A let AB, AD be drawn, of which AB touches the circle BCD, and AD cuts it ; and draw... | |
 | Edward Riddle - 1824 - 572 ページ
...given in position to draw two lines which shall meet in that line, and make equal angles with it. 3. If, from a point without a circle, two straight lines be drawn to the concave part of the circumference, making equal angles with the line joining the same point... | |
 | Peter Nicholson - 1825 - 1046 ページ
...rectangle BE, ED Wherefore, if two 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 other touches it ; the rectangle contained by the whole line which cuts the... | |
 | Miles Bland - 1827 - 462 ページ
...circle, to draw two lines to a point in the circumference, which shall cut aline given in position, so that the part of it intercepted by them may be...extremity to the former intersections of the circle. 80. If any chord in a circle be bisected by another, and produced to meet the tangents drawn from the... | |
 | Robert Simson - 1827 - 546 ページ
...to the rectangle, BE, ED. Wherefore, if two straight lines, &c. QED PROP.. XXXVI. THEOR. 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 a1ts the... | |
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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... 
