| Robert Simson - Trigonometry - 1806 - 546 pages
...is equal to the square of the straight line AD which touches the circle. PROP. XXXVII. THEOR. See N. IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the... | |
| John Playfair - Mathematics - 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 straight lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line, which cuts... | |
| Euclides - 1816 - 588 pages
...is equal to the square of the straight line AD which touches the circle. PROP. XXXVII. THEOR. See N. IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...EB, AE, ED are equal to the squares AD, DF, ie to the square of AF, ADF being a right angle.. (13.) If from a 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... | |
| Miles Bland - Euclid's Elements - 1819 - 442 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 lines, one of which touches the circle and the other cuts it, and from the point of contact a perpendicular be drawn- to... | |
| John Playfair - 1819 - 354 pages
...equal to the^guare of the straight line AD, which touches the circle. A D. PROP. XXXVII. THEOR. ff from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line, which cuts... | |
| 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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 lineĀ« one of which cuts the circle, and the other meets it j if the rectangle contained by the whole... | |
| George Lees - 1826 - 276 pages
...from any point without a circle, there be drawn two tangents to it, these tangents are equal. Cor. 3. If from a point without a circle, there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...equal to the square of the straight line AD, which touches the circle. PROP. XXXVII. THEOR. See N. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the... | |
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