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" IF two straight lines cut one another, the vertical, or opposite, angles shall be equal. "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Page 264
by Pierce Morton - 1830 - 272 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...therefore is in 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...therefore is in 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...right angles, 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...therefore is in the same straight line with CB. Wherefore, if at a point, &c. QED PROP. XV. THEOR. //" two straight lines cut one another, the -vertical, or opposite angles are 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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...therefore is in 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 arc equal. Let the two straight lines AB, CD cut one another in the point E : the angle AEC shall be...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...the same 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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...therefore, is in 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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...therefore is in 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 are equal. Let the two straight lines AB, CD cut one another in the point E; the angle AEC shall be equal to the...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...right angles, 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...therefore is in 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...
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