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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... "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Σελίδα xi
των Miles Bland - 1821 - 438 σελίδες
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 σελίδες
...line intercepted without the triangle, between the perpendicular and the obtuse angle. 10. 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...

Examination Papers: Moderations

University of Oxford - 1879 - 584 σελίδες
...quadrilateral figure inscribed in a circle are together equal to two right angles. 10. 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...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...whole line and one of its parts may be equal in area to the square on the other part. 8. 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...

The Madras University Calendar, Τόμος 1

University of Madras - 1879 - 674 σελίδες
...the square on BC is equal to the square 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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...the rectangle BE, ED. Wherefore, if two 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 touches it; the rectangle contained by the whole line which cuts the...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...given point, either without or in the circumference, which shall touch a given circle. 7. 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...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 286 σελίδες
...triangles are equiangular. Hence (V. 4), AE : EC : : DE : 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 Competitor, Τόμοι 3-4

1883 - 248 σελίδες
...triangle as diameters they will be intersected by a third side or that side produced. 10. If from any point without a circle, two straight lines be drawn, one of which cuts the circle and the other meets it, the rectangle continued by the whole line which cuts the circle...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 σελίδες
...circle shall form an equilateral triangle with the chord joining the points of contact. C. If from any point without a circle two straight lines be drawn, one of which cuts the circle and passes through Euclid, Algebra, and Mensuration. 239 the centre, and the other...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882 - 418 σελίδες
...twice the rectangle contained by the whole line thus produced and the part produced. 3. . 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...




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