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" BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... "
The complete measurer: or, The whole art of measuring, containing the ... - Page 47
by Thomas Keith - 1817
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...D. Which was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another in the point E, within the circld ABCD; the rectangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...cut off from the given circle ABC containing an angle equal to the given angle D. PROP. XXXV. THEOR. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...off from the given circle ABC, containing an angle equal to the given angle DQEF PEOP. XXXV. THEOR. IF two straight lines within a circle cut one another,...contained by the segments of one of them, is equal or equivalent to the rectangle contained by the segments of the other. * Let the two straight lines...
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Algebra applied to geometry ... By X. Y. Z.

X. Y. Z. - Equations - 1843 - 124 pages
...intersect, the portions of them between the Circumference and Point of intersection are equal 91 8*. If two Lines within a Circle cut one another the Rectangle...Rectangle contained by the Segments of the other, (Euclid 35, 3.) - - - 92 Problems ..... 93 Answers to the Loci, (p. 31) ... 96 ERRATA. The Studen1...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 pages
...GEOMETRY AND PRACTICAL MATHEMATICS. !• If two chords in a circle intersect each other, prove that the rectangle contained by the segments of one of them is equal to the rectangle contained by tbe segments of the other. »• Prove that similar triangles are to each other as the squares of their...
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An elementary treatise on algebra. [With] Key

James Thomson - 1844 - 328 pages
...the part of it without the circle. (Euc. III. 36. Cor.) 8. If two chords cut one another in a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Euc. III. 35.) Let ABC be the required triangle, and let the leg AC or BC = x. Then (Euc. I. 47.)...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...containing an angle equal to the given angle D. Which was to be done. PROPOSITION XXXV. THEOR. — If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...an angle equal to the given angle D : which was to be done. PROP. XXXV. THEOR. — If two chords of a circle cut one another, the rectangle contained...rectangle contained by the segments of the other. In the circle ABCD, let the two chords AC, BD cut one another in the point E : the rectangle AE.EC...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...given angle DQEF PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within the circle ABCD. Then the...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Thomson - Algebra - 1845 - 328 pages
...the part of it without the circle. (Euc. III. 36. Cor.) 8. If two chords cut one another in a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Euc. III. 35.) Let ABC be the required triangle, and let the leg AC or BC =x. Then (Euc. 1.47.) AB...
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