| 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... | |
| Euclides - 1838 - 264 pages
...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 the circle,** be equal to the square of the line which meets it, the line which meets shall touch the circle. Let... | |
| Euclides - Geometry - 1841 - 378 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 meeti shall touch the circle. Let... | |
| 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... | |
| Euclides - 1842 - 316 pages
...Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point on the exterior of **a circle two straight lines be drawn, one of which...whole line which cuts the circle, and the part of it** which is on the exterior of the circle, shall be equivalent to the square of the line which touches... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...proposition and the following. See the Notes at the end of tb" »«i"—•< 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 - Geometry - 1845 - 218 pages
...circle there be draimi 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** withmit the circle be equal to the square of the line which, meets it, the line which meets shall touch... | |
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