 | Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...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 of the line which touches it. MENSURATION. Section 3. 1. What is the cost... | |
 | Euclides - Geometry - 1841 - 378 pages
...without a circle two straight lints 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 circle ABC,... | |
 | Euclides - 1842 - 316 pages
...another. PROP. XXXVII. THEOR. IF from a point on the exterior of a circle there be drawn two straight lines, one of which cuts the circle, and the other...whole line which cuts the circle, and the part of it which is on the exterior of the circle, be equivalent to the square of the line which meets it, the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | Euclid - Geometry - 1845 - 218 pages
...circle. PROPOSITION XXXVII. THEOR. — If from a point without a circle there be draimi two straight lines, one of which cuts the circle, and the other...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 pages
...the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...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 - Geometry - 1845 - 382 pages
...the tangent AD. PROP. XXXVII. THEOR.— If from a point without a circle there be drawn two straight lines, one 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 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
...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 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
...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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
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IF from a point without 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... 
