 | University of Oxford - 1879 - 414 pàgines
...line intercepted without the triangle, between the perpendicular and the obtuse angle. 10. If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. 11. Describe an isosceles triangle, having... | |
 | University of Oxford - 1879 - 584 pàgines
...any quadrilateral figure inscribed in a circle are together equal to two right angles. 10. If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it» 2. EXAMINATION FOB CLASSICAL HONOUBS I.... | |
 | Isaac Sharpless - 1879 - 282 pàgines
...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 - 674 pàgines
...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 be drawn...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... | |
 | Great Britain. Civil Service Commission - 1879 - 620 pàgines
...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...the circle, and the part of 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... | |
 | 1879 - 636 pàgines
...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 be 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 pàgines
...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 be 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... | |
 | Edward Harri Mathews - 1879 - 94 pàgines
...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... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pàgines
...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... | |
 | Isaac Todhunter - 1880 - 426 pàgines
...to the rectangle BE, ED. Wherefore, if two straight linet &c. QED PROPOSITION 38. THEOREM. If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
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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 which cuts the circle, and the part of it without the circle, shall be equal to the square... 
