 | Euclides - 1865 - 402 pages
...the segments of one of them is equal to the rectangle nnder the segments of the other ..... m. 35. 4. If from any point without a circle two straight lines...drawn, one of which cuts the circle, and the other tonches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
 | Robert Potts - 1865 - 528 pages
...if two straight lines, &o. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle tico straight lines be drawn, one of which cuts the circle, and the othar touches it ; the rectangle contained by the whole line which cuts the circle, and the part of... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...is equal to half the sum of the squares of the other two sides of the triangle. 3. If from any poinf without a circle two straight lines be drawn, one...and the other touches it; the rectangle contained, &c. Prove the case in which the line that cuts the circle does not pass through the centre. 4. Triangles... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to the rectangle BE, ED. [Axiom 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 tlie other touches it; the rectangle contained ly the whole line which cuts the circle, and the part... | |
 | Robert Potts - 1868 - 434 pages
...rectangle BE, ED. (I. ax. 1.) Wherefore, if two straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one oj trhich cuts the circle, and the other touches it ; the rectangle contained by the whole line which... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...rectangle of EC and ED becomes the square of EF, and therefore we have this proposition, viz. If from a point without a circle two straight lines be drawn, one of which cuts and the other touches the circle, then the rectangle of the segments of the cutting line shall be equal... | |
 | Euclides - 1872 - 102 pages
...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...it; the rectangle contained by the whole line which cute the circle, and the part of it without the circle, must be equal to the square on the line which... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...circle, their four extremities shall all -. in the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight...and the other touches it ; the rectangle contained 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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...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 ABC, and DC A,... | |
 | University of Madras - 1873 - 436 pages
...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 that the rectangle contained... | |
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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... 
