 | 1859 - 414 σελίδες
...tingle of any quadrilateral figure inscribed in a circle are together equal to two right angles. 9. 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 the whole line which cuts the... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...triangle between the perpendicular and the obtuse angle. MATHEMATICS. 9 VOLUNTARY PORTION. 1. 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... | |
 | Eucleides - 1860 - 396 σελίδες
...III. 31, cor. 2 m.3,oor. . III. 4. . . . IIL35. . . III. 3 II. 9, cor. 2.. II. 14, nchoL HYPOTHESES. If from a point without a circle two straight lines be drawn, cutting tt. If from a point without a circle two straight lines be drawn, one cutting the circle and... | |
 | Henry William Watson, Edward John Routh - 1860 - 240 σελίδες
...square; (1) when the sum, and (2) when the difference of two adjacent sides is given. 3. 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... | |
 | Henry William Watson, Edward John Routh - 1860 - 240 σελίδες
...square; (1) when the sum, and (2) when the difference of two adjacent sides is given. 3. 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... | |
 | Euclides - 1862 - 140 σελίδες
...rectangle AE - EC is equal to the rectangle BE-ED. (ax. 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... | |
 | Euclides - 1862 - 172 σελίδες
...rectangle BE, ED. (ax. 1.) "Wherefore, if two 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... | |
 | Robert Potts - 1863 - 482 σελίδες
...segment revolves together with twice the angle 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 touches it ; the rectangle contained by the whole line which cuts the... | |
 | Woolwich roy. military acad - 1864 - 588 σελίδες
...opposite sides and angles of a parallelogram are equal to each other, and the diameter bisects it. 10. If from a point without a 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... | |
 | University of Cambridge - 1864 - 694 σελίδες
...that the squares on these two parts shall 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 touches it ; the rectangle contained by the whole line which cuts the... | |
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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... 
