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" if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 26
por Euclid - 1835 - 513 páginas
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 páginas
...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 nate angles GHC, HGB are equal to one £~ - j^r - 5 another. ^F For, if the angle...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 páginas
...line, &c. v- ''• D. PROPOSITION XXIX. THEOR. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...and opposite upon the same side ; and likewise the Iwo interior angles upon the same side together equal to two right angles. .'. it. CD : the alternate...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 páginas
...line," &c. QED PROP. XXIX. THEOR. Sec the If a straight line fall upon two parallel straight ""„. lines, it makes the alternate angles equal to one...; and the exterior angle equal to the interior and opi>osite upon the same side ; and likewise the two interior angles upon the same side together equal...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...line falls upon two other straight lines, so as to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...straight lines are parallel to one another. XXIX. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...the interior and opposite upon the same side; and the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration....
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 410 páginas
...one another ; (2.) the exterior angle equal to the interior and remote upon the same side ; and (3.) the two interior angles upon the same side together equal to two right angles, t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1.) the alternate angles...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 páginas
...parallel to CD. 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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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...to CD. PROPOSITION XXVIII. THEOREM. 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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 páginas
...conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...angle equal to the interior and opposite upon the tame side ; and likewise the two interior angles upon the same side together equal to two right angles....
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