 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 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 two chords AB, AC be drawn from any... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...be drawn, one of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which cuts the circle, and the part of it without the circle, 'in. II be equal to the square on the line which touches it. Let D be any point without the circle... | |
 | 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...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. 1. Verify the truth of... | |
 | Euclides - 1861 - 464 pages
...point without a circle two st. 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. Cox. 10,1. 1,II1. 12,1. DEM. 18, III. 47,... | |
 | 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... | |
 | Euclides - 1864 - 262 pages
...which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cult the circle. and the part of it without the circle,...on the line which meets it, the line which meets, shall touch the circle, Let any point D be taken without the circle ABC, and from it let two 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 the circle and the 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... | |
 | 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... | |
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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... 
