 | Euclides - 1874 - 342 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, be equal to the square on the line which, meets it, the line which meets, shall touch the circle. Let... | |
 | Edward Atkins - 1874 - 426 pages
...AD-DC + EB» = BD2+EB«. •. AD -DC DrawEP perpendicular to AC. Proposition 36. — Theorem. If from a point without a circle two straight lines be drawn, one of which cuts the circle, and the oiher touches it; the rectangle contained by the whole line which cuts the circle, and the part of... | |
 | Edward Atkins - 1874 - 428 pages
...pcrpendi>-uliir lu AC. Proposition 36.— Theorem. If from a paint without a circle two straight Una be drawn, one of which cuts the circle, and the other touches it; the rentangle contained by the whole line which cuts the circle, and tht part of it without the circle,... | |
 | Horatio Nelson Robinson - 1875 - 288 pages
...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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...their four extremities shall all lie in the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight...the circle, and the part of it without the circle, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...'u the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a cirele, two straight lines be drawn, one of which cuts the...the circle, and the part of it without the circle, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...point 1), such that AC. CD=AD.DB, then AD is divided in C in the manner required by the proposition. 6. If from any point without a circle two straight lines...touches it, the rectangle contained by the whole line that cuts the circle and the part of it without the circle shall be equal to the square on the line... | |
 | Edward Atkins - 1876 - 130 pages
...licrpcndicutar to AC. Proposition 36. — Theorem. If from a point without a circle two straight lines ba drawn, one of which cuts the circle, and the other...contained by the whole line which cuts the circle, and l!ta part of it without the circle, shall ba equal to the square on ths line which touches it. Let... | |
 | University of Madras - 1876 - 580 pages
...piisses through C and touches the circle AB in B, lies on the circumference of the circle AB. VIII. If from any point without a circle two straight lines be drawn, one of which cuts the circle but does not pass through the centre, and the other touches it ; prove that the rectangle contained... | |
 | Education Department,London - 1876 - 1010 pages
...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 contained by... | |
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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, is equal to the square of... 
