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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... "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Página 55
por Euclides - 1874
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 páginas
...AB is parallel to CD. PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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 [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 páginas
...conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the tame side ; and likewise the two interior angles upon the same side together equal to two...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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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Chambers's Information for the People, Volumen2

William Chambers, Robert Chambers - 1842 - 938 páginas
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 páginas
...Wherefore if a straight line, &c. QED PEOP. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...will be 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...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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Chambers's information for the people, ed. by W. and R. Chambers, Volumen2

Chambers W. and R., ltd - 1842 - 744 páginas
...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 ..., Volúmenes1-2

1844 - 688 páginas
...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 - 218 páginas
...line, &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...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 - 546 páginas
...straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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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