| Robert Potts - Geometry, Plane - 1860 - 361 pages
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines 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... | |
| Euclides - 1861
...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.... | |
| Euclides - 1862
...1.) EUCLID'S ELEMENTS. PROPOSITION 36. -THEOREM. If from a point without a circle two straight 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... | |
| Euclides - 1862
...straight lines, &c. QED PROP. XXXVI.— THEOREM. If from any point without 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... | |
| Robert Potts - 1863
...in the segment equals four right angles. 13. If from any point without a circle two straight lines **be drawn, one of which cuts the circle and the other...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... | |
| 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... | |
| University of Cambridge - 1864
...together be equal to the square on the third. 3. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...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 - 212 pages
...together be equal to the square on the third. 3. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...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... | |
| Euclides - 1864
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...the circle. and the part of it without the circle,** thall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
| Woolwich roy. military acad - 1864
...circle two Straight lines be drawn, one of which cuts the circle, but does not pass through the centre, **and the other touches it, the rectangle contained...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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