| Euclides - 1878
...their four extremities shall all lie in the circumference of a circle. PROPOSITION XXXVI. THEOREM. Ift **from any point without a circle, two straight lines...the circle, and the part of it without the circle,** inust be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
| Āryabhaṭa - 1878
...Therefore an equiangular triangle can be inscribed in the circle. PROP. XLIII. THEOREM. (E. 3. 36, 37). **If from any point without a circle two straight lines...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... | |
| 1878 - 228 páginas
...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... | |
| Isaac Sharpless - 1879 - 282 páginas
...equiangular. Hence (V. 4), .-. (V. 14), AE : EC :: DE : EB; AE.EB-CE.ED. Proposition 27. Theorem.—If from a **point without a circle, two straight lines be drawn,...touches it, the rectangle contained by the whole line** and the part without the circle, will be equal to the square of the line touching the circle. From... | |
| University of Madras - 1879
...ABC. Prove that the square on BC is equal to the square on AC together with the rectangle AB, AC. III. **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... | |
| 1879
...two circles, its whole length will subtend a constant angle at the other point of intersection. 7. **If from any point without a circle two straight lines...drawn, one of which cuts the circle and the other** meets it; the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
| Great Britain. Parliament. House of Commons - 1879 - 632 páginas
...two circles, its whole length will subtend a constant angle at the other point of intersection. 7. **If from any point without a circle two straight lines...drawn, one of Which cuts the circle and the other** meets it; the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
| University of Oxford - 1879
...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 on the line which meets tho circle, the line which meets the circle shall touch... | |
| Euclides, James Hamblin Smith - 1879
...AB; shew that the rectangle CP, CQ is equal to the rectangle CP', CQ'. PROPOSITION 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 contained by the whole line which cuts the... | |
| Edward Harri Mathews - 1879
...on all its sides will be less than twice the square circumscribed about the circle. Section IV. 1. **If from any point without a circle two straight lines be drawn, one of which** not passing through the centre cuts the circle and the other touches it, the rectangle contained by... | |
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