 IF from any point without a circle two straight lines be 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 of it without the circle, shall be equal to the square...  The Bombay University Calendar - Page cxxxby University of Bombay - 1902Full view - About this book
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...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 to the square of the line which meets it, the line which meets shall... | |
 | Euclid - 1835 - 540 pages
...&c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ;...the rectangle contained by the whole line which cuts tJie circle, and the part of it without the circle, is equal to the square of the line which touches... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...consider. 3. If from any point, without the circumference of a circle, two straight lines be drawn, one of which cuts the circle and the other touches it, the...rectangle contained by the whole line which cuts, and the part of that line without the circle, is equal to the square of the line which touches. The... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...consider. 3. If from any point, without the circumference of a circle, two straight lines be drawn, one of which cuts the circle and the other touches it, the...rectangle contained by the whole line which cuts, and the part of that line without the circle, is equal to the square of the line which touches. The... | |
 | Mathematics - 1836 - 488 pages
...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 circle, and the part of it without a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...circle, &c. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ;...the circle, and the part of it without the circle, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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 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. Steps... | |
 | Mrs. L. H. Tyler - Astronomy - 1837 - 302 pages
...less is the polar than the equatorial di ameter ? What is the curvature of the earth for one mile ? rectangle* contained by the whole line which cuts the circle, and the part of it without the circle is equal to the square of the line which touches it, ie the distance cn multipled into nb, equals the... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...&c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ;...it without the circle, shall be equal to the square of the line which touches it. Let D be any point without the circle ABC, and DCA, DB two straight lines... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 136 pages
...(Prop. 36, 3d. Book Euclid}. " If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the...it without the circle, shall be equal to the square of the line which touches it." Let D be any point without the circle ABC, and DCA and DB two straight... | |
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