 | 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... | |
 | Robert Simson - Conic sections - 1809 - 220 pages
...to a diameter, and if from the same point a straight line be ordinately applied to that diameter ; the square of the perpendicular is equal to the rectangle contained by the abscissa of the diameter and the latus rectum of the axis. Case 1. When the diameter is the axis... | |
 | 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... | |
 | Robert Simson - Conic sections - 1817 - 298 pages
...to a diameter, and if from the same point a straight line be ordinately applied to that diameter ; the square of the perpendicular is equal to the rectangle contained by the abscissa of the diameter and the latus rectum of the axis. »#*i* ,' (N. .B. An ah$cLssa is 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 line« one of which cuts the circle, and the other meets it j if the rectangle contained by the whole... | |
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... 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 which meets it, the line which meets shall touch the circle. 
