| Euclid - 1781 - 550 pages
...touches the circle. PROP. XXXVII. THEO R. IF from a point without a circle there be drawn two ftraight **lines, one of which cuts the circle, and the other meets it ; if the** re&anglc contained by the whole line which cuts the circle, and the part of it without the circle be... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...touches the circle. PROP. XXXVII. THEO R. IF from a point without a circle there be drawn two ftraight **lines, one of which cuts the circle, and the other meets it ; if the** reftangle contained by the whole line which cuts the circle, and the part of it without the circle... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...touches the circle. PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two ftraight **lines, one of which cuts the circle, and the other meets it ; if the** redlangle contained by the whole line which cuts the circle, and the part of it without the circle... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...equal to the square of the straight line AD which touches the circle. Book nt. PROP. XXXVII. THEOR. **IF from a point without a circle there be drawn two...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... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...same manner it may be shewn that the squares of GH and GI are together equal to the square of OB. (7.) **If from a point without a circle there be drawn two straight lines, one of which** is perpendicular to a diameter, and the other cuts the circle ; the square of the perpendicular is... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...same manner it may be shewn that the squares of GH and GI are together equal to the square of OB. (7.) **If from a point without a circle there be drawn two straight lines, one of which** is perpendicular to a diameter, and the other cuts the circle ; the square of the perpendicular is... | |
| Miles Bland - Geometry - 1821 - 898 pages
...the squares of the segments of them are together equal lo the square of the diameter. 13. If from * **point without a circle there be drawn two straight lines, one of which** touches the circle and the other cuts it, and from the point of contact a perpendicular be drawn to... | |
| Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...chord produced meets the quadrantal arch, from the other radius. LIX. TH. If the angle contained by **two straight lines, one of which cuts the circle and the other meets it,** be equal to the angle in the alternate segment of the circle, the straight line which meets, shall... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...of them is equal to the square of the straight 1'ne AD which touches the circle. Proposition XXXVIL **Theorem. If from a point without a circle there be drawn two straight** lineĢ one of which cuts the circle, and the other meets it j if the rectangle contained by the whole... | |
| Miles Bland - Euclid's Elements - 1827 - 462 pages
...circumference ; the squares of the segments of them are together equal to the square of the diameter. 13. **If from a point without a circle there be drawn two straight** Hues, one of which touches the circle and the other cuts it, and from the point of contact a perpendicular... | |
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