 | Robert Potts - Geometry, Plane - 1860 - 380 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 - 464 pages
...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 - 140 pages
...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 - 172 pages
...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 - 482 pages
...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 - 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
...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 - 234 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 - 262 pages
...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 - 588 pages
...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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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... 
