 | Robert Potts - 1868 - 434 pàgines
...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 - 1871 - 320 pàgines
...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 pàgines
...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 - 1872 - 376 pàgines
...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 - 1873 - 588 pàgines
...ED, to the 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...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 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 that the rectangle contained... | |
 | Braithwaite Arnett - 1873 - 120 pàgines
...The following results are frequently required in the investigation of the properties of triangles. If from any point without a circle two straight lines be drawn touching the circle, they are equal. This follows immediately from Euclid in. 37. For if DBj DE be... | |
 | 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...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,... | |
 | 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...of which cuts the circle, and the other touches it j the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,... | |
 | Bombay city, univ - 1874 - 648 pàgines
...circle there be drawn two 10 straight linos one of which cuts the circle and tho 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 tho square of the lino which meets it, then the line which meets the circle shall bo a... | |
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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... 
