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" If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal... "
Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra - Page 85
by Lewis Sergeant - 1873
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...AB in a point between G and K. Therefore, if two straight lines, &c. QED PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines it makes the alternate angles equal to each other, the exterior equal to the interior and opposite on the same...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 5

William Nicholson - 1809 - 708 pages
...line fall upon two parallel straight lines, it makes the alternate angleĢ equal to one another ; and the exterior angle equal to the 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...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 9

William Nicholson - Natural history - 1821 - 402 pages
...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 angle on the same side , and likewise the two interior angles upon the same side, together, equal to two right angles If AB...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...doctrine of parallel lines would in this manner be freed from all difficulty. PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior * Prop. 1 1. Sup. The...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821 - 406 pages
...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 angle on the same side ; and likewise the two interior angles upon the same side, together, equal to two right angles If AB...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...if produced, must meet AB in a point between G and K, therefore, &c. PROPOSITION n. (29. I. Euclid.) If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another ; the exterior equal to the interior and opposite on the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...doctrine of parallel lines would in this manner be freed from all difficulty. PROP. III. or 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior and opposite on the...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 angle on the same side ; and likewise the two interior angles upon the same side together equal to two riff fit angles. Let...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 angle on the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...doctrine of parallel lines would in this manner be freed from all difficulty. PROP. III. or 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior and opposite on the...
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