 | Euclides - 1834 - 518 pages
...PROPOSITION XXXVII. See N. Tn 1:011. — If from a point without a circle there be drawn inro straight lines, one of which cuts the circle, and the other...square of the line which meets it, the line which meet* shall touch the circle. Draw * the straight line DE, touching the circle ABC ; find t * 17. 3.... | |
 | Euclid - 1835 - 540 pages
...circle. PROP. XXXVII. THEOR. *• See N. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...of the line which meets it, the line which meets, also touches the circle. a 17. a b 18. 3. c36. 3. Let any point D be taken without the circle ABC,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...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...square of the line which meets it, the line which meetn also touches the circle. Let any point D be taken without the circle ABC, and from it let two... | |
 | Mathematics - 1836 - 488 pages
...of the line which touches it. XXXVII. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...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
...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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | 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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle B/ contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Steps of the Demonstration to Case 1st,... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 136 pages
...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 of the line which touches it." Let D be any point without the circle ABC,... | |
 | Euclides - 1838 - 264 pages
...equal to each other. 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 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; 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... 
