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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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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 Seiten
...line, &c. Q^ ED PROP. XXIX. THE OR. See N. TF a ftraight line fall upon two parallel ftraight J. lines, it makes the alternate angles equal to one another...; and the exterior angle equal to the interior and oppofite upon the fame fide ; and likewife the two interior angles upon the fame fide together equal...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...line, &c. Q^ED PROP. XXIX. THEOR. IF a ftraight line falls upon two parallel ftraight lines, VT Scc the it makes the alternate angles equal to one another...;. and the exterior angle equal to the interior and oppofite fltion upon the fame fide; and likewife the two interior angles upon the fame fide together...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 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 - 311 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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The British encyclopedia, or, Dictionary of arts and sciences, Band 5

William Nicholson - 1809
...Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angle« equal to one another ; and the exterior angle equal...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 British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 5

William Nicholson - 1809
...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...exterior angle equal to the interior and opposite augle on the same side ; and likewise, the two interior angles upon the same side, together, equal...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
...parallel to one another. 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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Elements of the Philosophy of the Human Mind, Band 2

Dugald Stewart - 1814
...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
...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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