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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... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 48
by Euclides - 1871
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...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 - Trigonometry - 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 - Trigonometry - 1806 - 518 pages
...straight line, &c. QED PROP. XXVIII. THEOR. IF a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ;...
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 5

William Nicholson - Natural history - 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, Volume 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...alternate angles equal to one ano- "huprop ther; and the exterior angle equal to the interior andsitioiv opposite upon the same side; and likewise the two...interior angles upon the same side together equal to two/right angles. V Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...shall be parallel. Prop. XXVIII. Theor. If n straight line falling upon two others traight lines makes the exterior angle equal to the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles; the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...alternate angles equal to oneJ^""" 0 , another; and the exterior angle equal to the inte- »ti'm. rior and opposite upon the same side ; and likewise the...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, GH...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...line, &c. QED PROP. XXVIII. THEOR. IF a straight line falling upon two other straight lines, makes the exterior angle equal to the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles ; the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...angles ; therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...and opposite upon the same side ; and likewise the to'o interior angles upon the same side together equal to two right angle?. Let the straight line EF...
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