 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
 | James Thomson - Algebra - 1845 - 328 pages
...continued to meet the remote part of its circumference, the rectangle contained by one of the lines and the part of it without the circle, is equal to the rectangle contained by the other and the part of it without the circle. (Euc. III. 36. Cor.) 8. If... | |
 | Euclides - 1846 - 292 pages
...straight lines, one of which cuts the circle, and the other meets it, then, 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle con-tained by the whole line which cuts 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 of the line which touches it. Let D be any point without the 0 ABC ; and... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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
...the square of the line that touches the circle is equal to the rectangle contained by the straight line which cuts the circle and the part of it without the circle. 5. The portions of the tangent at any point of an equiangular hyperbola intercepted between the curve... | |
 | Euclides - 1848 - 52 pages
...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 it shall touch the circle.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...two ttraight 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... | |
 | Education - 1850 - 488 pages
...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.... | |
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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... 
