 | Euclides - Geometry - 1841 - 378 pages
...the rectangle CA, AF: for each of them is equal to the square of the straight 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; if the rectangle contained by the whole line which cuts the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...for this line forms the hypotenuse common to two equal right angled triangles. 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 ; if the rectangle contained by the whole line, which cuts... | |
 | Euclides - 1845 - 546 pages
...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 straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the... | |
 | Euclides, 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 straight lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole fine which cuts... | |
 | 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 straight lines, one of which cuts the circle, and the other meets it, then, if the rectangle, contained by the whole line which... | |
 | Euclides - 1848 - 52 pages
...whole lines and the parts of them without the circle, are equal to one another. PROP. XXXVII. THEOREM. 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... | |
 | Education - 1850 - 488 pages
...segments of one of them, is equal to the rectangle contained by the segment of the other. SECTION V. 1. 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 straight, lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line which cuts... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...is equal to the square of the straight line AD, which touches the circle. PROPOSITION 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 ; if the rectangle contained by the whole line which cuts the... | |
 | Euclides - 1853 - 146 pages
...them is equal to the square of the straight line AD which touches the circle. PROP. XXXVII. THEOREM. 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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... 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. 
