 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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 - Geometry - 1846 - 128 pages
...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...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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... | |
 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...intersection. Find the corresponding equation to the parabola^ 4. Prove analytically that if from a point without a circle two straight lines be drawn,...which cuts the circle and the other touches it, the square of the line that touches the circle is equal to the rectangle contained by the straight line... | |
 | Euclides - 1848 - 52 pages
...one of them, is equal to the rectangle contained by the segments of the other. PROP. XXXVI. THEOREM. 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. Con. If from any point without a circle,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOB. 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,... | |
 | Education - 1850 - 488 pages
...a 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. 2.... | |
 | 1852 - 316 pages
...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. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION.... | |
 | University of Durham - Education, Higher - 1851 - 222 pages
...from the centre are equal to one another. 8. If from a point without a circle two straight lines he drawn, one of which cuts the circle and the other...the whole line which cuts the circle and the part without the circle is equal to the square of the line which touches it. 9. To describe a circle about... | |
 | Education - 1852 - 512 pages
...describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 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 of the line which touches it. SECTION IV. — 1. To inscribe an equilateral... | |
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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... 
