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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... "
Guide to the army - competitive examinations - Pagina 87
door Alexander Hadden Hutchinson - 1861 - 100 pagina’s
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 pagina’s
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...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: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...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
...DC : AI, :: AD : ED, or D c X z D — AD* 8. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...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) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819
...given rectilineal angle. Prop. XXX V. Theor. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...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 pagina’s
...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 of one of...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 pagina’s
...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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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - 1825
...of the Une between the points of section. 3. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. Inscribe an equilateral and equiangular hexagon in a gives circle. 5. If any number of magnitudes...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 pagina’s
...XXXV. THEOREM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments. of the other. contained under AE, EC, is equal to that contained under DE, EB....
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...XXXV. THBORKM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments of the other. . contained under AE, EC, is equal to that contained under DE, EB....
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