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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... "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 103
by Euclides - 1841 - 351 pages
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 266 pages
...: EB; AE.EB-CE.ED. Proposition 27. 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 the whole line and the part without the circle, will be equal to the square of the line touching the circle. From...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879
...circle there be drawn two straight lines, one of which cuts the circle, and the 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 the square on the line which meets tho circle, the line which meets the circle shall touch...
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The Madras University Calendar, Volume 1

University of Madras - 1879
...on AC together with the rectangle AB, AC. III. If from any point without a circle two straight lines be drawn one of which cuts the circle, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...always equal to two- thirds of a right angle. 4. 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. Prove this only in the case in which the cutting line does not pass through...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...straight linet &c. QED PROPOSITION 38. THEOREM. 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 the circle ABC, and let DCA, DB bo two straight...
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(Report).

Elizabethan club - 1880
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, then 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. 49...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880
...circle there be drawn two 5 straight linea, one of which cuts the circle and the 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 the square on the line which meets the circle, the line which meets the circle shall touch...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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. Draw...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880
...bisecting these angles all pass through one point. 7. If from any point on a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the angles between the cutting and touching lines are equal to the angles in the alternate segments of...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881
...there be drawn two straight lines, one of which cuts the. circle, and the 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 the square on the line which meets it, the line which meets must touch the circle. 11....
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