 | Euclid, Robert Simson - 1829 - Liczba stron: 548
...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 - 1832 - Liczba stron: 358
...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 - 1833 - Liczba stron: 346
...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 - Liczba stron: 264
...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 - Liczba stron: 546
...equal to the square of the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two...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 - 1845 - Liczba stron: 382
...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 - Liczba stron: 292
...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... | |
 | University of Durham - 1851 - Liczba stron: 222
...without a circle two straight lines he drawn, one of which cuts the circle and the other touches it, the rectangle contained by the whole line which cuts the circle and the part without the circle is equal to the square of the line which touches it. 9. To describe a circle about... | |
 | Euclides - 1853 - Liczba stron: 176
...equal to the square of the straight line ad, which touches the circle. PROPOSITION XXXVII. — THEOREM. 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... | |
 | Euclides - 1855 - Liczba stron: 270
...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... | |
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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... 
