| University of Toronto - 1900 - 1158 pages
...circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. (III. 26.) 6. **If from any point without a circle two straight lines...the circle, and the other touches it ; the rectangle** sustained by the whole line which cuts the circle and the part of it without the circle, shall be equal... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...circle there are 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** is equal to the square on the line which meets the circle, then the line which meets the circle slwll... | |
| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...the centre to the point of contact is perpendicular to the line touching the circle. 8. Prove that **if from any point without a circle two straight lines be drawn,** of which one cuts the circle and the other touches it ; the rectangle contained by the whole line which... | |
| 1902 - 482 pages
...rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. **If from any point without a circle two straight lines...of which cuts the circle, and the other touches it;** prove that the rectangle contained by the whole line which cuts the circle and the part of it without... | |
| University of Sydney - 1902 - 640 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other touches 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 on the line which meets the circle, the line which meets the circle shall touch... | |
| Alfred Baker - Geometry - 1903 - 154 pages
...also the measurements and multiplications. The result of our observations may be stated as follows: **If from any point without a circle two straight lines be drawn, one** a secant and the other a tangent, then the rectangle contained b3 r the secant and the part of it without... | |
| Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...Prove that the area of the second hexagon is to that of the first in the ratio 3 : I. 52. If from a **point without a circle two straight lines be drawn, one of which** touches and the other cuts the circle, a line drawn from the same point in any direction equal to the... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...circle there are 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** is equal to the square on the line which meets the circle, then the line which meets the circle shall... | |
| 1904 - 386 pages
...Show also how to trisect that angle. (25) 24. From any point outside a circle two straight lines are **drawn, one of which cuts the circle and the other touches it.** Show that the rectangle contained by the whole line which cuts the circle and the part of it without... | |
| 1906 - 818 pages
...solutions wilt not be accepted. Mr. Eoss, Senior Inspector. Mr. CHAMBBB8, District Inspector. SECTION A. 1. **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. 2. To describe a circle about a given regular... | |
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