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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Strona 34
autor: Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
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Chambers's information for the people, ed. by W. and R. Chambers, Tom 2

Chambers W. and R., ltd - 1842 - Liczba stron: 744
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight hues, it makes the alternate angles equal to one another...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...
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The British Annals of Education for ...: Being The Scholastic ..., Tomy 1-2

1844 - Liczba stron: 688
...make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 5. If the square described upon one of the sides of a triangle...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - Liczba stron: 218
...&c. Q. i:. D. PROPOSITION XXIX. THEOR — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - Liczba stron: 546
...line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - Liczba stron: 382
...interior and remote, upon the same side of that line ; and (2) if it make the interior angles upon the same side together equal to two right angles. Let the straight line EF, which falls upon the two straight lines, AB, CD, make the exterior angle EGB equal to the interior...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - Liczba stron: 128
...straight line, &c. PROP. XXVIIF. THEOR. 29. iKu. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to two riff fit angles. Let the...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - Liczba stron: 128
...straight line, &c. PROP. XXVIII. THEOR. 29. iEu. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the str....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - Liczba stron: 334
...parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - Liczba stron: 292
...straight line itc . QEU PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - Liczba stron: 128
...&c.— QED PROP. XXIX. THEOR. GEN. ENUN. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior equal to the interior and opposite angle upon the same side ; and likewise the two interior angles...
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