 | Āryabhaṭa - 1878 - 100 pages
...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 be drawn, one of which cuts the circle and the other touches it, the i eetangle contained^ by the ivhole line which cuts the... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...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, one of which cuts the circle and the other touches it, the rectangle contained by the whole line and the part without... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...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, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...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, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the... | |
 | Edward Harri Mathews - 1879 - 94 pages
...whole line and one of its parts may be equal in area to the square on the other part. 8. 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... | |
 | University of Madras - 1879 - 674 pages
...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 one of which cuts the circle, and the other touches it ; prove that the rectangle contained by the whole line which... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...given point, either without or in the circumference, which shall touch a given circle. 7. 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...triangles are equiangular. Hence (V. 4), AE : EC : : DE : EB ; AE.EB=CE.ED. Proposition 27. Theorem. — If from a 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 and the part without... | |
 | Education Ministry of - 1882 - 300 pages
...circle shall form an equilateral triangle with the chord joining the points of contact. C. If from any point without a circle two straight lines be drawn, one of which cuts the circle and passes through Euclid, Algebra, and Mensuration. 239 the centre, and the other... | |
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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... 
