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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... "
Solutions of the Cambridge Problems: From 1800 to 1820 - Side 654
av John Martin Frederick Wright - 1825
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...angle D. Which was to be done. 33-3c47 ft i^. i. a 3- 3b 5. a. c PROP. XXXV. THEOR. IF two ftraight lines within a circle cut one another, the rectangle contained by the fegments of one of them, is equal to the rectangle contained by the fegments of the other. Let the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...an angle equal to the given angle D. Which was to be done. PROP. PROP. XXXV. THEOR. IF two ftraight lines within a circle cut one another, the rectangle contained by the fegments of one of them is equal to the reftangle contained by the fegments of the other. Let the two...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...angle D. Which was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut each other, the rectangle contained* by the segments of one of...rectangle contained by the segments of the other. 3.3.3. b5.2. r 47. 1. Let the two straight lines AC, BD, within the circle ABCD, cut each other in...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one ano- See N, ther, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. c 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut one an- See N. other, the rectangle contained by the segments of one of...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 complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817
...VI.) Hence, EC : EA :: EA : ED, or E c XE n — EA '" DC : AI, :: AD : ED, or D c X z D — AD* 8. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other, (Euci'iD 35 ./HI.) Hence, ¥c'x<''» — AUXCB, and because A c — c B in this figure, xc X CD ~ AC*,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...a given circle which shall contain an angle equal to a given rectilineal angle. Prop. XXX V. Theor. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Cul^tlie circle, ami the part of it without the circle, shall be equal to the sqmire of the line which...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...the given angle D. Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle tut one another, the rectangle contained by the segments...to the rectangle contained by the segments of the ether. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E :...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...PROP. XXXV. THEOR. If two straight lints within a circle cut one -another, the rectangle contain* ed by the segments of one of them is equal to the rectangle contained by the segments of the ether. Let the two straight lines AC. BD, within the circle ABCt), cut one another in the point E :...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 sider
...circle ABC containing an angle equal to the given angle D. Which was to be donePROP. XXXV. THEOR. IP 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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