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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... "
The British encyclopedia, or, Dictionary of arts and sciences
von William Nicholson - 1809
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 Seiten
...OR. See N. TF a ftraight line fall upon two parallel ftraight J. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and oppofite upon the fame fide ; and likewife the two interior angles upon the fame fide together equal...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...IF a ftraight line falls upon two parallel ftraight lines, VT Scc the it makes the alternate angles equal to one another ;. and the exterior angle equal to the interior and oppofite fltion upon the fame fide; and likewife the two interior angles upon the fame fide together...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...one ano- ™£*™ ther ; and the exterior angle equal to the interior and position. opposite upon the same side ; and likewise the two interior angles...the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles, AGH,...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 5

William Nicholson - 1809 - 684 Seiten
...Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite augle on the same side ; and likewise, the two interior angles upon the same side, together, equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 Seiten
...equal to one ano- "huprop ther; and the exterior angle equal to the interior andsitioiv opposite upon the same side; and likewise the two interior angles upon the same side together equal to two/right angles. V Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...XXIX. Theor. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...angles equal to one ih another; and the exterior angle equal to the inte-sit10"' rior and opposite upon the same side ; and likewise the two interior angles...the same side together equal to two right angles. „ ' . Let the straight line EF fell upon the parallel straight lines AB, CD ; the alternate angles...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 9

William Nicholson - 1821 - 402 Seiten
...Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another , and the exterior angle equal...to two right angles If AB (fig. 5.) be parallel to CD, and E Fcut them in the points HG, then the angle AHG equals the alternate angle HGD ; the exterior...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 800 Seiten
...angles equal to one another; and the exterior angle equal to the interior and opposite upon the »ame side : and likewise the two interior angles upon the same side together equal to two right angles. Prop. XXX. Theor. Straight lines which are parallel to ihc same straight line, are parallel to one...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two...
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