 | Euclides - 1853 - 146 pages
...EC, is equal to the rectangle BE, ED. Wherefore, if two straight lines, &e. QED PROP. XXXVI. THEOEEM. 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,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal to the rectangle BE, ED. Wherefore, if two straight lines, etc. QED PRC-POSITION XXXVI. THEOR. 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,... | |
 | Euclides - Geometry - 1853 - 334 pages
...the rectangle BA, AE is equal to the rectangle CA, AF. Which was to be proved. PEOP. XXXVII. THEOE. If from any point without a circle two straight lines...drawn, one of which cuts the circle and the other meets it, such that the rectangle contained by the whole line cutting the circle and the part of it... | |
 | Euclid - Geometry - 1853 - 176 pages
...from any point without a circle straight lines be drawn to the circumferIdem. If from a point within a circle two straight lines be drawn, one of which cuts the circle, and the other touches it. CONSEQUENCES. fThe greatest is that which j passes through the center. The remaining part of the I... | |
 | Euclides - Geometry - 1853 - 176 pages
...from any point imtliout a circle two straiglit lines be drawn, one ofwliich cuts the circle, and tlie other touches it, the rectangle contained by the whole line which cuts the circle, and the poyrt of it without the circle, shall be equal to the square of the line which touches it. LET d be... | |
 | 1855 - 264 pages
...the circumference of a circle, the straight line which joins them shall fail within the circle. 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. SECT. IV. — 1. About a circle to describe... | |
 | Euclides - 1855 - 270 pages
...diagonals of any quadrilateral figure, be equal, a circle may be described about it. PRO P. XXXVI. THEOREM. If from any point without a circle two straight lines...the circle, and the other touches it ; the rectangle cnnta-iаed by the whole line which cuts the circle, and the part of it without the circle, is equal... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...equal circumferences are equal to one another whether they be at the centres or the circumferences. 11. 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. Through two given points draw a circle which... | |
 | Euclides - 1856 - 168 pages
...squares of DB and E B. Therefore the rectangle DA, DC alone is equal to the square of D B. Cor. — If from any point without a circle two straight lines be drawn cutting the circle, the rectangles contained by each straight line and the part of it without the circle... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...circumference upon thai same base, that is, upon the same part of the circumference. 10. PROP. XXXVI. — 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. 11. If any line is drawn touching a circle,... | |
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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... 
