 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...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,...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 point A of a circle, and be produced... | |
 | 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... | |
 | Euclides - 1861 - 464 pages
...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, bo equal to the square of the line which meets it, the line which meets it shall touch the circle.... | |
 | Euclides - 1862 - 172 pages
...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,...equal to the square of the line which touches it. (References — Prop. i. 12, 47 ; n. 6 ; in. 1, 3, 18.) Let D be any point without the circle ABC ;... | |
 | Euclides - 1862 - 140 pages
...dfawn two straight lines, one of which cuts the circle, and the other meets it, and 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 on the line which meets the circle, the line which meets the circle shall touch... | |
 | Robert Potts - 1863 - 482 pages
...circle and the other touches it ; the rectangle contained by the whole line which cuts the circleand the part of it without the circle, shall be equal to the square of the line which touches it. . A circle of known radius moves so as to cut a fixed circle in two points which always lie in the... | |
 | 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... | |
 | University of Cambridge - 1864 - 694 pages
...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,...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 circle any two straight lines... | |
 | William Walton - Mathematics - 1864 - 234 pages
...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,...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 circle any two straight lines... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...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... | |
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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... 
