 | Robert Simson - Trigonometry - 1806 - 546 pages
...EC is equal 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...and BE.ED = 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... | |
 | Euclides - 1816 - 588 pages
...EC is equal 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... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...segments between the vertex and the cutting line, may be equal to a given square. (VI.) If from a given point, without a circle, two straight lines be drawn to the concave circumference, they shall be reciprocally proportional to the parts of them between the given point... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...equal, therefore (Eucl. iii. 29.) the straight lines AG, BFare also equal. ^•jj-ftt (2.) If from a point without a circle, two straight lines be drawn...of the circumference, making equal angles with the line joining the same point and the centre, the parts of the lines which are intercepted within the... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...AG, BF are equal, therefore (Eucl. iii. 29.) the straight lines AG, BFare also equal. (2.) If from a point without a circle, two straight lines be drawn to the concave part of the circumferencef making equal angles with the line joining the same point and the centre, the parts of... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...: AB : : AB : AE ; .-. {E. 17. 6.) DA X AE = AB*. PROP. XLIX. ' ' ' ' 58. THEOREM. If from a given point, without a circle, two straight lines be drawn to the concave - circumference, they shall be reciprocally pro.' fortional to the parts of them bet-ween the given... | |
 | John Playfair - 1819 - 354 pages
...GE.EH; therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c Q,.ED "B~"G PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of •siliich cuts the circle, and the other touches it ; the rectangle contained by the whole... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...equal, therefore (Eucl. iii. 29.) the straight lines AG, В F arc also equal. (2.) If from a paint without a circle, two straight lines be drawn to the...of the circumference, making equal angles with the line joining the same point and the centre, t he parts of t he lines which are intercepted within the... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...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...of the circumference, making equal angles with the line joining the same point and the centre, the parts of these lines which are intercepted within 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... 
