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

Robert Potts - Geometry, Plane - 1860 - 361 pages
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which cuts the circle, and the part of it without the circle, 'in. II be equal to the... ## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...without a circle there be drawn two 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 of the line u-hich meets it, the line which meets shall touch the circle. Cos.... ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...1.) EUCLID'S ELEMENTS. PROPOSITION 36. -THEOREM. If from a point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by tlte whole line which cuts the circle, and the part of it without the circle, shall be equal to the... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...straight lines, &c. QED PROP. 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; then the rectangle contained by the whole line which cuts the circle, and the part of it without the... ## Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863
...in the segment equals four right angles. 13. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other...rectangle contained by the whole line which cuts the circleand the part of it without the circle, shall be equal to the square of the line which touches... ## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight... ## Register

University of Cambridge - 1864
...together be equal to the square on the third. 3. 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. If from a given point A without a given circle any two straight lines... ## Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - Mathematics - 1864 - 212 pages
...together be equal to the square on the third. 3. 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. If from a given point A without a given circle any two straight lines... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...the circle. and the part of it without the circle, thall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... 