| 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 - 382 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 - Geometry - 1853 - 178 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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