 | Euclides - 1862 - 140 pages
...EC is equal to the rectangle BE-ED. (ax. 1.) EUCLID'S ELEMENTS. PROPOSITION 36. -THEOREM. If from a point without a circle two straight lines be drawn,...and the other touches it; the rectangle contained by tlte whole line which cuts the circle, and the part of it without the circle, shall be equal to the... | |
 | Euclides - 1862 - 172 pages
...the rectangle BE, ED. (ax. 1.) "Wherefore, if two straight lines, &c. QED PROP. XXXVI.— THEOREM. If from any point without a circle, two straight lines...of which cuts the circle, and the other touches it; then the rectangle contained by the whole line which cuts the circle, and the part of it without the... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...common point of contact of the two circles, and be touched by the line which joins their centres. . 45. If from any point without a circle, two straight lines be drawn, making equal angles with the line through the centre, they will cut off equal segments from the circle.... | |
 | Robert Potts - 1863 - 482 pages
...of the segment revolves together with twice the angle in the segment equals four right angles. 13. If from any point without a circle two straight lines...rectangle contained by the whole line which cuts the circleand the part of it without the circle, shall be equal to the square of the line which touches... | |
 | Euclides - 1863 - 122 pages
...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight... | |
 | William Walton - Mathematics - 1864 - 234 pages
...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 pages
...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 - 262 pages
...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,... | |
 | Euclides - 1864 - 448 pages
...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 pages
...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... | |
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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... 
