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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 ... - Pàgina 90
per John Playfair - 1832 - 333 pàgines
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 pàgines
...four extremities shall all lie in the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be...the circle, and the part of it without the circle, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 pàgines
...'u the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a cirele, two straight lines be drawn, one of which cuts the...the circle, and the part of it without the circle, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 pàgines
...such that AC. CD=AD.DB, then AD is divided in C in the manner required by the proposition. 6. If from any point without a circle two straight lines be drawn,...touches it, the rectangle contained by the whole line that cuts the circle and the part of it without the circle shall be equal to the square on the line...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pàgines
...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...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 touches it. Let...
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The Madras University Calendar, Volum 1

University of Madras - 1876
...through C and 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...
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Examination Christmas,1875

Education Department,London - 1876
...shall be equal to the angles which are in the alternate segments of the circle. SECTION IV. 1. If from 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...
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Edinburgh Medical Journal, Volum 21,Part 1

1876
...three equal straight lines to the circumference, that point is the centre of the circle. 3. If from a point without a circle two straight lines be drawn, one of which touches and the other cuts the circle, the rectangle by the cutting line, and the part of it without...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...equiangular 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,...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...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...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 of the line which meets it, the line which meets shall touch the circle. Draw...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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,...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. 11. Describe an isosceles triangle, having...
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