 | Euclides - 1838 - 264 sider
...Hence, if from any point, &c. PROP. XXXVI. THEOR. If from any point without a circle two straight tines be drawn, one of which cuts the circle, and the other...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
 | Great Britain. Committee on Education - 1853 - 1218 sider
...double of the square of half the line, and of the square of the line between the points of section. 3. If from any point without a circle two straight lines...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. MENSURATION. Section 3. 1. What is the cost... | |
 | Euclides - 1841 - 378 sider
...two straight lines, &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lints be drawn, one of which cuts the circle, and the other...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
 | Euclides - 1842 - 316 sider
...Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point on the exterior of a circle two straight lines be drawn, one of which...whole line which cuts the circle, and the part of it which is on the exterior of the circle, shall be equivalent to the square of the line which touches... | |
 | John Playfair - 1842 - 332 sider
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; 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 of the line which meets it, the line which meets shall touch the circle. Let... | |
 | Euclid - 1845 - 218 sider
...circle there be draimi two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it withmit the circle be equal to the square of the line which, meets it, the line which meets shall touch... | |
 | Euclides - 1845 - 546 sider
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and (he part of it without the circle, be equal to the square of the line which meets it, the line which... | |
 | Euclid, James Thomson - 1845 - 382 sider
...of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole fine which cuts the circle, and the part of it without the circle, be equal to the square of the fine which meets it, the line which meets the circle touches it. If from... | |
 | Alfred Wrigley - 1845 - 222 sider
...circles, and be touched by the line which joins their centres. (Euclid, iii. 18. Cape, ii. 38.) 38. 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.... | |
 | Euclides - 1846 - 292 sider
...AE, 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...the circle and the part of it without the circle, shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
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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... 
