| Henry William Watson, Edward John Routh - 1860 - 198 pagina’s
...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 - 1860 - 361 pagina’s
...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 - 12 pagina’s
...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
...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
...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
...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
...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
...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
...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
...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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