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" IF two straight lines cut one another, the vertical, or opposite, angles shall be equal. "
Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ... - Page 28
by S. M. Saxby - 1862 - 179 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...the same straight line with CB. Wherefore, if at a point, &c. QED PROP. XV. THEOR. IF two straight lines cut one another, the vertical, / or opposite, angles shall be equal. Let the two straight lines AB, CD cut one another in the point E ; the angle AEC shall be equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the same straight line with CB. Wherefore, if at a point, &c. QED PROP. XV. THEOR. IF two straight lines cut one another, the vertical, or opposite, angles shall be equal. Let the two straight lines AB, CD cut one another in the point E ; the angle AEC shall be equal to...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...these two straight lines •hall be in one and the same straight line. Piop. XV. Theor. If two straight lines cut one another, the vertical, or opposite, angles shall be equal. Prop. XVt Theor. If one side of a triangle be produced, the exterior angle is greater than «jtherof...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...straight line with CB. Wherefore, if at э point, &c. Q. £. D. Proposition ХУ. Theorem. If two straight lines cut one another, the vertical, or opposite, angles shall be equal. . Let the two straight lines AB, CD, cut one another in the point £ ; the angle ABC shall be equal...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...the same straight line with CB. Wherefore, if at a point, &c. QED PROP. XV. THEOR. If two straight lines cut one another, the vertical, or opposite, angles shall be equal. Let the two straight lines AB, CD, cut one another in the point E : the angle AEC shall be equal to...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...Cor. 2. Any angle of a triangle is less than two nght angles. PROP. 3. (Eue. L 15.) ff two straight lines cut one another, the vertical or opposite angles shall be equal. Let the two straight «, lines А В, С D, cut / one another in the х/ point E : the vertical u angles...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...Cor. 2. Any angle of a triangle is less than two right angles. PKOP. 3. (Eue. i. 15.) If two straight lines cut one another, the vertical or opposite angles shall be equal. Let the two straight . lines AB, CD, cut J* one another in the к/ point E : the vertical angles A...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...the same straight line with.CB. Wherefore, " if at a point," &c. QED PROP. XV. THEOR. If two straight lines cut one another, the vertical, or opposite, angles shall be equal. Let the two straight lines AB, CD, cut one another in the point E; the angle AEC shall be equal to...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...In the same manner it can be shewn, that the angles AED, BEC are equal. Therefore, if two straight lines cut one another, the vertical or opposite angles shall be equal. Which was to be proved. COR. I. If two straight lines cut one another, the four angles" which they...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...BD, which, therefore, is in the same straight line with CB. PROPOSITION XT. THEOREM. If two straight lines cut one another, the vertical or opposite angles shall be equal. For the angles CEA, AED, •which the straight line AE makes with the straight line CD, are together...
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