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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... "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Σελίδα 474
των Robert Mudie - 1836 - 496 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 σελίδες
...circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh 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 of the line which touches...

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

Robert Potts - 1860 - 380 σελίδες
...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 - 464 σελίδες
...Ax. 3 & 2. 8 9 Cone. РROP. 36. — THEOR. (Important.) If from any point without a circle two st. lines be drawn, one of which cuts the circle, and...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 of the line which touches...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...the rectangle BE-ED. (ax. 1.) EUCLID'S ELEMENTS. PROPOSITION 36. -THEOREM. If from a point without a circle two straight lines be drawn, one of which...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 - 172 σελίδες
...(ax. 1.) "Wherefore, if two 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 ..., Τόμος 2

Robert Potts - 1863 - 482 σελίδες
...together with twice the angle in the segment equals four right angles. 13. If from any point without a circle two straight lines be drawn, one of which...the 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...

Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 234 σελίδες
...on these two parts shall 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...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 on the line which touches...

Calendar

University of Cambridge - 1864 - 694 σελίδες
...on these two parts shall 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...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 on the line which touches...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...1.) Wherefore, if two straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of which...the rectangle contained by the whole line which cuts the circle. and the part of it without the circle, thall be equal to the square on the line which touches...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to...




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