 | Henry Major - 1873 - 588 pàgines
...same rectangle GE, EH; therefore the rectangle AE, EC is equal to the rectangle BE, ED. XXXVI. — 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... | |
 | University of Madras - 1873 - 436 pàgines
...respectively, shew that the quadrilateral KLMN is equal in all respects to the quadrilateral ABCD. IX. If from any point without a circle two straight lines be drawn, one of which cuts the circle, bui does not pass through the centre, and the other touches it ; prove... | |
 | Euclides - 1874 - 342 pàgines
...rectangle BE, ED (I. Ax. 1). Wherefore, if two straight lines, &c. QED PROPOSITION 36. — 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... | |
 | Braithwaite Arnett - 1874 - 130 pàgines
...that AB bisects the angle between PA and QA produced. Prove that the chords .SPand BQ are equal. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it j the rectangle contained by the whole line... | |
 | Horatio Nelson Robinson - 1875 - 288 pàgines
...Whence, CP'=^cT, or, tfP= the value of the line sought. M1SCELLANEOUS PROPOS1TIONS. (Page 238.) (3.) If from any point without a circle, two straight lines be drawn to the concave part of the circumference, making equal angles with the lines joining the same point... | |
 | Robert Potts - 1876 - 446 pàgines
...quadrilateral in order that a circle may be inscribed in it? Show that your relation is sufficient. 9. 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... | |
 | University of Madras - 1876 - 580 pàgines
...contained by the whole and one of the parts shall be equal to the square of the other part. IV. (a) 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... | |
 | Education Department,London - 1876 - 1010 pàgines
...circle shall be equal to the angles which are in the alternate segments of 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... | |
 | Āryabhaṭa - 1878 - 100 pàgines
...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 be drawn, one of which cuts the circle and the other touches it, the i eetangle contained^ by the ivhole line... | |
 | Edward Harri Mathews - 1879 - 94 pàgines
...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... | |
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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... 
