 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 Cambridge Examiner - Page 281882Full view - About this book
 | 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
...showing that AE x EC and BE x ED are each = GE x EH, and .'. = each other. PROPOSITION XXXVI. Theorem. If from any point without a circle two straight lines...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... | |
 | 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...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
...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...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
...Hence, if from any point, &c. PROP. XXXVI. THEOR. If from any point without a circle two straight tines be drawn, one of which cuts the circle, and the other...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,... | |
 | Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...double of the square of half the line, and of the square of the line between the points of section. 3. If from any point without a circle two straight lines...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. MENSURATION. Section 3. 1. What is the cost... | |
 | Euclides - Geometry - 1841 - 378 pages
...two straight lines, &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lints be drawn, one of which cuts the circle, and the other...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,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...because, as has been shown, AE.EC = GE.EH, and BE.ED=GE.EH; therefore AE.EC=BE. ED. 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... | |
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