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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 46
by Euclides, James Hamblin Smith - 1879
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The Assurance Magazine, and Journal of the Institute of Actuaries, Volume 3

Insurance - 1853 - 394 pages
...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. 30. Draw through a given point between two straight lines not parallel a straight line which shall...
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The popular educator, Volume 4; Volume 7

Popular educator - 1852 - 1272 pages
...two parallel straight lines, show that it will make 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 equal to two right angles. Discuss...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...straight lines (AB, CD) male the exterior angle (EGB) equal to the interior and opposite angle (GHD) upon the same side of the line; or make the interior angles (BGH, GHD) upon the same side together equal to tico right angles; the two straight lines (AB, CD)...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...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 equal to two right angles. If two...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...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 equal to two right angles. 6. If a parallelogram and a triangle be upon the same base, and between the same parallels : the parallelogram...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...two other straight lines, makes Che alternate angles equal to each other, or makes an exterior tngle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. Let the straight line EF, which E intersects the two straight...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...the 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 two right angles. 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be equal to the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...parallel to CD. PROPOSITION XXTHI. 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 two straight lines...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 equal to two right angles. Let the...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...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 saine side together equal to two right angles. 6. Parallelograms...
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