| Euclides - 1826 - 226 pages
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, **one of which cuts the circle, and the other touches it, the rectangle** which is contained by the wlwle cutting line, and, that part between the point taken without the circle,... | |
| Euclid - 1826 - 234 pages
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, **one of which cuts the circle, and the other touches it, the rectangle** which is contained by the whole cutting line, and that part between the point taken without the circle,... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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 rectangle contained by the whole line which** a1ts the circle, and the part of it without the circle, shall be equal to the square of the line which... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained hy **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 it shall touch the circle.*... | |
| 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
...BE.ED = GE.EH ; therefore AE.EC = 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 other touches it ; the rectangle** contain- ' ed by the whole line which cuts the circle, and the part of it without the circle, is equal... | |
| 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
...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 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
...advert ; and that we shall now briefly consider. 3. If from any point, without the circumference of **a circle, two straight lines be drawn, one of which...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
...advert ; and that we shall now briefly consider. 3. If from any point, without the circumference of **a circle, two straight lines be drawn, one of which...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... | |
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