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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

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...licrpcndicutar to AC. Proposition 36. — Theorem. If from a point without a circle two straight lines ba drawn, one of which cuts the circle, and the other...the rectangle contained by the whole line which cuts the circle, and l!ta part of it without the circle, shall ba equal to the square on ths line which...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...any point without a circle two straight lines be drawn, one of which not passing through the centre 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 on the line which touches...

The Madras University Calendar, Τόμος 1

University of Madras - 1876 - 580 σελίδες
...touches the circle AB in B, lies on the circumference of the circle AB. VIII. If from any 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 ; prove that the rectangle contained...

The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 σελίδες
...triangle can be inscribed in the circle. PROP. XLIII. THEOREM. (E. 3. 36, 37). If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the i eetangle contained^ by the ivhole line which cuts the circle, and part of it without the circle is...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 σελίδες
...without the triangle, between the perpendicular and the obtuse angle. 7. 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...

Examination Papers: Moderations

University of Oxford - 1879 - 584 σελίδες
...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...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...

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

Isaac Sharpless - 1879 - 282 σελίδες
...4), .-. (V. 14), 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...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...

The Madras University Calendar, Τόμος 1

University of Madras - 1879 - 674 σελίδες
...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 cuts the circle, and the part of it without...

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

Edward Harri Mathews - 1879 - 94 σελίδες
...distances from two fixed points are in a constant ratio, is a circle. 3. If from any point without a circle two straight lines be drawn, 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...

Report of Her Majesty's Civil Service Commissioners, Together with ..., Τόμος 23

Great Britain. Civil Service Commission - 1879 - 620 σελίδες
...length will subtend a constant angle at (he other point of intersection. 7. 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 contained by the whole line which cuts the circle, and the part of it without...




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