| Edward Atkins - 1876 - 119 pages
...licrpcndicutar to AC. Proposition 36. — Theorem. If from a point without a circle two straight lines ba **drawn, one of which cuts the circle, and the other...contained by the whole line which cuts the circle, and** l!ta part of it without the circle, shall ba equal to the square on ths line which touches it. Let... | |
| Robert Potts - Geometry, Plane - 1876 - 403 pages
...in the manner required by the proposition. 6. 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** that cuts the circle and the part of it without the circle shall be equal to the square on the line... | |
| University of Madras - 1876
...of which cuts the circle but does not pass through the centre, and the other touches it ; prove that **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 to aches it. (a) BA, AC are chords, in the same straight line,... | |
| Civil service - 1878
...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. Draw... | |
| Āryabhaṭa - 1878
...circle. PROP. XLIII. THEOREM. (E. 3. 36, 37). If from any point without a circle two straight lines **be drawn, one of which cuts the circle and the other touches it, the** i eetangle contained^ by the ivhole line which cuts the circle, and part of it without the circle is... | |
| University of Oxford - Greek language - 1879
...between the perpendicular and the obtuse angle. 10. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...it without the circle, shall be equal to the square** on the line which touches it. 11. Describe an isosceles triangle, having each of the angles at the... | |
| Great Britain. Civil Service Commission - 1879
...point without a circle two straight lines be drawn, one of which cuts the circle and the other meets **it; the rectangle contained by the whole line which...it without the circle, shall be equal to the square** on the Hue which touches it. 8. Inscribe a circle in a given square. If a straight line is drawn touching... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879
...point without a circle two straight lines be drawn, one of Which cuts the circle and the other meets **it; the rectangle contained by the whole line which...it without the circle, shall be equal to the square** on the line which touches it. 8. Inscribe a circle in a given square. If a straight line is drawn touching... | |
| Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 349 pages
...XXXVI. THEOREM. If, from, any point without a circle, two straight lines be drawn, one of which cut* **the circle, and the other touches it; the rectangle...the circle, and the part of it without the circle,** muet be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
| Edward Harri Mathews - 1879
...in all respects equal. 3. If from an external point two straight lines be drawn, one of which cuts a **circle and the other touches it, the rectangle contained...the circle, and the part of it without the circle,** will be equal to the square on the line which touches it. A straight line moves so that equal chords... | |
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