| Euclides - 1838
...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,... | |
| Euclides - 1841 - 351 pāgines
...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
...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 - 317 pāgines
...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 - 199 pāgines
...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... | |
| Euclid, James Thomson - 1845 - 352 pāgines
...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... | |
| Euclides - 1845
...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... | |
| Euclides - 1846
...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,...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. Admiralty - 1846
...ED = GE ^ AE. EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. as. S Eģ. If from **any point without a circle two straight lines be drawn,...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 0 ABC ; and... | |
| Great Britain. Admiralty - 1846
...= GE EH ' AE . EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. 36. 3 EĢ. If from **any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle,** shall equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB... | |
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