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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 ... - Seite 34
von Euclid, Isaac Todhunter - 1867 - 400 Seiten
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...to the inte-sit10"' rior and opposite upon the same side ; and likewise the two interior angles upon 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 AGH, GHD, are equal to one another...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 9

William Nicholson - 1821 - 402 Seiten
...that straight line produced. 14. Theorem IV. 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 If AB (fig....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...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 another...exterior angle equal to the interior and opposite upon the same side ; and likewise the to'o 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 - 1819 - 354 Seiten
...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 right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another ;...
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American Edition of the British Encyclopedia: Or, Dictionary of Arts ..., Band 9

William Nicholson - 1821 - 406 Seiten
...that straight line produced. 14. Theorem IV. 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 If AB (fig....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 Seiten
...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 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 right...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...line, &c. OKD Proposition ХХГХ. Theorem, 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 Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...f2 Ax. * 13. 1. t 1 Ax. PROP. XXIX. THEOR. If a straight line Jail 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: With Notes

John Radford Young - 1827 - 228 Seiten
...side are together equal to two right angles. Cor. 4. Also, a line intersecting two parallels makes the two interior angles on the same side together equal to two right angles. . Cor. 5. A line perpendicular to one of two parallels is perpendicular to the other. Cor. 6. Therefore,...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 246 Seiten
...are together equal to two right angles. Cor. 4. Also, a line intersecting two parallels makes (lie two interior angles on the same side together equal to two right angles. Cor. 5. A line perpendicular to one of two parallels is perpendicular to the other. Cor. 6. Therefore,...
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