Books Books 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... The first three books of Euclid's Elements of geometry, with theorems and ... - Page 82
by Euclid, Thomas Tate - 1849 - 108 pages ## Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 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... ## Pure mathematics, Volume 1

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,... ## Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

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... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 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... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

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... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 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... ## Elements of geometry, based on Euclid, books i-iii

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... ## The Madras University Calendar, Volume 1

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... ## Examination Christmas,1875

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... 