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" ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight... "
The first two books of the Elements of Euclid, with additional figures ... - Pagina 34
door Euclides - 1852
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 pagina’s
...that no other can be in the fame ftraight line with it but BD, which therefore is in the fame ftaight line with CB. Wherefore, if at a point, &c. Q^ED PROP. XV. THEO R. IF two ftraight lines cut one another, the vertical, or oppoftte angles (hall be equal. Let...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pagina’s
...that no other can be in the fame ftraight line with it but BD, which therefore is in the fame ftraight line with CB. Wherefore, if at a point, &c. Q^ED PROP. XV. THEOR. IF two ftraight lines cut one another, the vertical, or oppojite, angles fliall be equal. Let the two ftraight...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...to t«-o 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 than «jtherof...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...therefore BE is not in the same straight line with BC. And, in like manner, it may be demonstrated, that no other can be in the same straight line with...in the same straight line with CB. Wherefore, if at a'point, &e. QED For, if BD be not in the same straight line with GB, let Boo' I. BE be in the same...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...therefore BE is not in the same straight line with BC. And, in like manner, it may be demonstrated, that no other can be in the same straight ' line with it but BD, whiph therefore is in the same straight line with CB. Wherefore, if at a point, &c. QED PROP. XV. THEOR....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pagina’s
...therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pagina’s
...therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pagina’s
...therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which tlterefore is in the same straight line with CB. Wherefore, if at э point, &c. Q. £. D. Proposition...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 pagina’s
...manner, it may be demonstrated, that no other ean he in the same straight line with it but BD, whieh therefore is in the same straight line with CB. Wherefore, if at a point, is'e. QED PROP. XV. THEOR. If two straight lines eut one another, the vertieal, or opposite angles...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pagina’s
...one straight Une with another upon one side of it, are, together, equal to two right angles . . 5 (i) If two straight lines cut one another, the vertical or opposite angles are equal . . 5 (c) All the angles which are made upon one side of a straight line at the same point...
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