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 Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 103
by Euclides - 1841 - 351 pages ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...circumference of a circle. PROPOSITION XXXVI. 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 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the... ## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...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...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, DB be two straight lines drawn... ...which cuts the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle ,s equal to the square on the line which tenches it. THUKSDAT, 19iH DEC., 2 TO 5 PM INDIAN HISTORY.... ## Pure mathematics, Volume 1

Edward Atkins - 1874
...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...the circle, and the part of it without the circle, slwtt be equal to the square an, t/ie line which touches it. Let D be any point without the circle... ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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... ## The Bombay university calendar, Volume 1

Bombay city, univ - 1874
...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... ## Pure mathematics, Volume 1

Edward Atkins - 1874
...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,... ## Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...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 which cuts the circle, and the part of it without the circle,... ## Examination Christmas,1875

...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...it without the circle shall be equal to the square on the line which touches it. If any number of circles intersect two and two so that their common chords... 