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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pągina 90
per John Playfair - 1832 - 333 pągines
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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...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 212 pągines
...been proved that sq. on Z>.B=sq. on AC+ac[. on CD; therefore AB has been divided, &c. QEF 3. If from any point without a circle two straight lines be drawn,...the circle, and the part of 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...
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Register

University of Cambridge - 1864
...that the squares 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,...the circle, and the part of 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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...BE, ED. (l. »x. 1.) Wherefore, if two straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn,...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,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...sides and angles of a parallelogram are equal to each other, and the diameter bisects it. 10. If from a 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, the rectangle contained by the whole...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...segments of one of them is equal to the rectangle nnder the segments of the other ..... m. 35. 4. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other tonches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without...
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A Collection of Elementary Test Questions in Pure and Mixed Mathematics with ...

James Robert Christie - 1866 - 404 pągines
...is equal to half the sum of the squares of the other two sides of the triangle. 3. If from any poinf without a circle two straight lines be drawn, one...and the other touches it; the rectangle contained, &c. Prove the case in which the line that cuts the circle does not pass through the centre. 4. Triangles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pągines
...rectangle BE, ED. [Axiom 1. Wherefore, if two straight lines &c. QED PROPOSITION 36. THEOREM. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and tlie other touches it; the rectangle contained ly the whole line which cuts the circle, and the part...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pągines
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one oj trhich cuts the circle, and the other touches it ; the rectangle...which cuts the circle, and the part of it without lite circle, shall be equal to the square on the line which touches it. Let D be any point without...
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