 | Thomas Oswald Blackett - 1838 - 136 pàgines
...correction for the curvature of the earth may be found according to (Prop. 36, 3d. Book Euclid}. " 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... | |
 | Great Britain. Committee on Education - 1853 - 1218 pàgines
...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 be drawn, one of which cuts the circle and the other touches it, the rectangle contained by the whole line which... | |
 | John Playfair - 1842 - 332 pàgines
...because, as has been shown, AE.EC = GE.EH, and BE.ED=GE.EH; therefore AE.EC=BE. ED. 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... | |
 | Euclid, James Thomson - 1845 - 382 pàgines
...proposition and the following. See the Notes at the end of tb" »«i"—•< 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... | |
 | Euclid - 1845 - 218 pàgines
...Wherefore, if two straight lines. &o. QED BOOK in. PROP. XXXVI. 1s.3. t 6. 2. PROPOSITION XXXVI. THEOB. — 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... | |
 | Euclides - 1845 - 546 pàgines
...the rectangle BE, ED. (ax. 1.) Wherefore if two straight lines, &c. QEI). 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... | |
 | Euclid, John Playfair - 1846 - 334 pàgines
...because, as has been shown, AE.EC=GE.EH, and BE.ED=GE.EH ; therefore AE.EC=BE. ED. BG 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... | |
 | Great Britain. Admiralty - 1846 - 128 pàgines
...By3rdCasej BE ED = GE ^ AE. EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. as. S E». 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 - 1846 - 292 pàgines
...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 be drawn, one of which cuts the circle and the other touches it, the rectangle, contained by the whole line which... | |
 | Great Britain. Admiralty - 1846 - 128 pàgines
...e| BE ED = GE EH ' AE . EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. 36. 3 E«. 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 con-tained by the whole line... | |
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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... 
