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" If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight... "
First principles of Euclid: an introduction to the study of the first book ... - Side 104
av T S. Taylor - 1880
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The British encyclopedia, or, Dictionary of arts and sciences, Volum 5

William Nicholson - 1809
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...to CD. Wherefore, if a straight line, &c. QED PROP. XXVIII. THEOR. IF a straight line falling upon two other straight lines make 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...these two straight lines »hall be parallel. Prop. XX V 111. Theor. If a straight line falling upon two other straight lines make« the exterior angle equal to the interior and opposite upon the same side of the line; or makes the interior angles upon i he same side together equal to...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 9

William Nicholson - 1821
...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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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 9

William Nicholson - 1821
...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

Euclid - 1826 - 180 sider
...sides and angles of the other. PROPOSITION XXVIII. THEOREM. If a right line falling upon two right lines make the exterior angle equal to the interior and opposite angle towards the same parts, or the interior angles towards the same parts equal to two right angles ; the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...to'CD. Wherefore, if a straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same s1de of the line / or make the interior angles upon the same side together equal to two...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...straight line intersect two parallel straight lines it makes the alternate angles equal to each other; and the exterior angle equal to the interior and opposite angle on the same side of it; and likewise the two interior angles on the same side together equal to two right angles. AXIOM...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...\\ CD. PROPOSITION XXVIII. Theorem. If a straight line falling upon two other straight lines, makes the exterior angle equal to the interior and opposite angle on the same side of E the line, or makes the interior X. angles on the same side together N. equal to two right angles,...
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The British Annals of Education for ...: Being The Scholastic ..., Volumer 1-2

1844
...straight lines cut one another the vertical angles shall be equal. 4. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two...
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