| War office - 1861 - 12 sider
...line between the points of section. 2. If from a point without a circle there be drawn two straight **lines, one of which cuts the circle, and the other...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. VOLUNTARY PORTION.... | |
| Euclides - 1861
...Tangents to a 0 from the same • are equal. 37, III. If from a point without a circle there be drawn two **lines, one of which cuts the circle and the other...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
...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
...the circle. PROPOSITION 37.— THEOREM. If from a point without a circle there be 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... | |
| 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
...circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight tinea, **one of which cuts the circle, and the other meets...if the rectangle contained by the whole line which** cult the circle. and the part of it without the circle, be equal to the square on the line which meets... | |
| 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... | |
| 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... | |
| William Walton - 1864 - 212 sider
...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
...tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ **the whole line which cuts the circle, and the part of it** tviihout the circle, shall be equal to the square on the line which touches it. Let D be any point... | |
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