 | 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... | |
 | Euclides - 1853 - 146 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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... | |
 | 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 - 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... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...of the other part. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a point without a circle two straight lines be drawn,...cuts the circle and the part of it without the circle is equal to the square of the line which touches it. 3. Define similar figures, and prove that equiangular... | |
 | Euclides - 1855 - 262 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... | |
 | John Playfair - Geometry - 1855 - 336 pages
...has been shown, AE.EC = GE.EH, art BE.ED=GE.EH; therefore AE.EC = BE. ED. bisectPROP. XXXVI. THEOR. B If from any point without a circle two straight lines be drawn, one nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme which cuts... | |
 | 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... | |
 | War office - 1858 - 578 pages
...circle there be drawn two straight lines, one of which cuts the circle and the other meets it, so that 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 meets it, then the line which meets the circle will touch... | |
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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... 
