 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...  Science Examinations ... Reports, Etc - Page 2711904Full view - About this book
 | Euclides - 1860 - 288 pages
...which cuts, and the other meets the circle, and that the rectangle AB • BC contained by the secant, and the part of it without the circle, is equal to the square on BD which meets it ; the straight line BD touches the circle ACD (III. 37) ; and because BD touches... | |
 | Euclides - 1861 - 464 pages
...without a circle there be drawn two 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 u-hich meets it, the line which meets shall touch the circle. Cos.... | |
 | War office - 1861 - 714 pages
...intercepted without the triangle between the perpendicular and the obtuse angle. 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 touches the circle. ALGEBRA.... | |
 | Euclides - 1862 - 172 pages
...a circle, two straight lines be drawn, one of which cuts the circle, and the other touches it; then 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. (References — Prop. i. 12, 47 ; n. 6 ;... | |
 | Euclides - 1862 - 140 pages
...lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by tlte whole line which cuts the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. (References— Prop. I. 12, 47; II. 6; III.... | |
 | Euclides - 1863 - 122 pages
...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, the rectangle contained by the whole line which cuts...part of it without the circle is equal to the square of the line which touches the circle. Two circles intersect, AB is their common chord, a point 0 is... | |
 | William Walton - Mathematics - 1864 - 234 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 on the line which touches it. If from a given point A without a given... | |
 | University of Cambridge - 1864 - 694 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 on the line which touches it. If from a given point A without a given... | |
 | Euclides - 1864 - 262 pages
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the sqvare on BD which meets it ; therefore the straight line BD touches the circle A CD : (in. 37.) and... | |
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