 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...them is equal to the square of the straight line AD which touches the circle. 'C PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two...and the other meets it; if the rectangle contained hy the whole line, which cuts the circle, and the part of it without the circle be equal to the square... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...rectangles is equal to the square of the straight line AD, which touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...'lines, one of which cuts the circle, and the other meet sit; if the rectangle contained by the whole line, which cuts the circle, and the part of it without... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...the circle. A PROP. XXXVII. THEOR. a point without a circle there be drawn two straight lines, on» of which cuts the circle, and the other meets it ; if the rectangle eon* tained by the whole line, which cuts the circle, and the part of it with* out the circle,*be equal... | |
 | Euclides - 1838 - 264 pages
...drawn from any point without it, it follows that they are equal to each other. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...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... | |
 | Euclides - 1845 - 546 pages
...CA, AF: for each of them is equal to the square of the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without...contained by the whole line which cuts the circle, and (he part of it without the circle, be equal to the square of the line which meets it, the line which... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...rectangle CA.AF: for each rectangle is equal to the square of the tangent AD. 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 fine which cuts the circle, and the part of it without... | |
 | Euclides - 1846 - 292 pages
...them is equal to the square of the straight line AD, which touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...of which cuts the circle, and the other meets it, then, if the rectangle, contained by the whole line which cuts the circle and the part of it without... | |
 | Euclides - 1853 - 176 pages
...a, af : for each of them is equal to the square of the straight line ad, which touches the circle. PROPOSITION XXXVII. — THEOREM. If from a point without...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... | |
 | Euclides - 1855 - 262 pages
...not greater than the diameter, to draw a secant which shall be bisected by the circumference. PROP, xxxVii. THEOREM: If from a point without a circle there be drawn two straight lines, one of which cnti the circle, and the other meets it ; and if the rectangle contained liy the whole line which cuts... | |
 | War office - 1858 - 578 pages
...alone for 1 hour and then all three work together 1 Euclid. 1. Find the centre of a given circle. 2. If from a point without a circle there be drawn two...one of which cuts the circle and the other meets it, so that the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
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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 the circle, and the part of it without the circle, be equal to the square... 
