 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...  Constructive geometry of plane curves - Page 30by Thomas Henry Eagles - 1885Full view - About this book
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...GEEH; therefore AE EC = BE.ED.A' Wherefore, if two straight lines, &c. QED H PROP. XXXVI. THEOR. Iff/mm any point without a circle two straight lines be drawn,...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... | |
 | 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... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...is equal to the rectangle BE, ED. Wherefore, « if two straight lines," &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines...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... | |
 | Euclid - 1835 - 540 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, also touches the circle. a... | |
 | 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
...AE.EC is equal to the rectangle BE.ED. If, therefore, two chords of a circle, &c. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines...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
...EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines...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
...correction for the curvature of the earth may be found according to (Prop. 36, 3d. Book Euclid}. " If from any point without a circle two straight lines...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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