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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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 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...straight line with CB. Wherefore, if at a point, &c. >.-. ED PROPOSITION XV. THEOR Jflwo slrai"ltt lines rut one another, the vertical, or opposite, a:ig!it...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pagina’s
...therefore BE is not in the same straight line with Hi,'. And, in like manner, it may be demonstrated, that no other can be in the same straight line with...but BD, which 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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 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 therefore is in the same straight lina with CB. PROP. VIII. THEOR. If two straight lines cut one another, the vertical, or opposite angles...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pagina’s
...one straight line with another upon one side of it, are, together, equal to two right angles . 5 (*) 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 pagina’s
...; therefore BE is not in the same straight line with BC. And in like manner it may he demonstrated, that no other can be in the same straight line with...straight line with CB. Wherefore, if at a point, &c. QED ,t PROP. XV. THEOR. If two straight lines cut one another, the vertical, or opposite angles are equal....
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The Element of Geometry

John Playfair - 1836 - 148 pagina’s
...angles, these two straight lines shall be in the same straight line. Which was to be proved. PROP. III. THEOR. If two straight lines cut one another, the vertical or opposite angles shall lie equal. Let the two straight lines AB, CD cut one another in the point E, the angle AEC shall be...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pagina’s
...together equal to two right angles, these two straight lines are in one and the same straight line. XV. If two straight lines cut one another, the vertical, or opposite angles are equal. COR. 1. From this it is manifest, that if two straight lines cut one another, the angles...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 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...straight line with CB. Wherefore, if at a point, &c. Cor. If, at a point in a straight line, two other straight lines meet on the opposite sides of it,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 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...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 pagina’s
...iherefore BE is nut 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...which therefore is in the same straight line with CB. PROP. XV. THEOR. t If two straight lines cut one another, the vertical, or opposite angles are equal....
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