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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... "
Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ... - Seite 312
herausgegeben von - 1899 - 340 Seiten
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...the interior and position. 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 fall upon the parallel straight lines AB, CD ; the alternate angles, AGH, GHD are equal to one another;...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...exterior equal to the interior and opposite on the same side, and the two interior angles on the same side equal to two right angles. Let the straight line EF fall on the parallel straight lines AB, CD ; the .alternate angles AGH, GHD are equal, the exterior angle EGB is...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 Seiten
...it will make the alternate angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal, the exterior angle...
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The British encyclopedia, or, Dictionary of arts and sciences, Band 5

William Nicholson - 1809 - 716 Seiten
...line fall upon two parallel straight lines, it makes the alternate angle« 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, (fig....
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Elements of the Philosophy of the Human Mind, Band 2

Dugald Stewart - 1814 - 582 Seiten
...asserted, for example, that ** if " one straight line falls on two other straight lines, so as to make " the two interior angles on the same side together equal to two " right angles, these two straight lines, though indefinitely pro" duced, will never meet ;"— is not the boundless...
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Elements of the Philosophy of the Human Mind, Band 2

Dugald Stewart - 1814 - 560 Seiten
...asserted, for example, that " if one straight line falls on two 'other straight lines, so as to make the two interior angles on the same side together equal to two righl angles, these two straight lines, though indefinitely produced, will never meet ;" — is not...
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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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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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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 9

William Nicholson - 1821 - 402 Seiten
...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 (fig....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...the Elements. and opposite on the same side ; and likewise the two interior angles. on the same side equal to two right angles. Let the straight line EF fall , on the parallel straight lines Ex AB, CD ; the alternate angles AGH, GHD are equal, the exterior angle EGB...
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