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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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 27
av Euclides - 1837 - 88 sider
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...ftraight 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...; 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 British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volum 5

William Nicholson - 1809
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight...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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The British encyclopedia, or, Dictionary of arts and sciences, Volum 5

William Nicholson - 1809
...straight line may be drawn parallel to that straight line, or that straight lice produced. M. 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 to the interior and opposite angle on the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...equal to two rirhc angles ; the two straight lines shall be parallefto one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight...angle equal to the interior and opposite upon the »ame side : and likewise the two interior angles upon the same side together equal to two right angles....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...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 reference to this proposition involves nothing...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 9

William Nicholson - 1821
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight...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...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 208 sider
...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 eqttal to the interior and opposite on the same side ; and likewise the two interior...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...those two straight lines are parallel • . • cor. 13 (f) And conversely, if a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite upon the same side, and the two interior angles...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 sider
...interior angles &c. Which was to be demonstrated. PROPOSITION XXIX. THEOREM. — If a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another. Let the straight line EF fall upon the •? parallel straight lines AB, CD ; the alter- ^ - ^& - B...
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