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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 too interior angles upon the same side together... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 39
av John Playfair - 1819 - 317 sider
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 sider
...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 shall be parallel to one anotlier. £ LET the straight line ef, which falls...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...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 lines shall be parallel to one another. Let the straight line EF, which falls upon...
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The Assurance Magazine, and Journal of the Institute of Actuaries, Volum 3

1853 - 394 sider
...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, Volum 4;Volum 7

Popular educator - 1854 - 1274 sider
...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 Euclid's twelfth axiom. Is it necessary that some positive property of parallel lines should...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 248 sider
...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 - 1858 - 252 sider
...exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect E the two parallel lines AB, CD ; the \ alternate angles AGH, GHD are \Ct__---- equal to...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858 - 394 sider
...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 - 286 sider
...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. Given the straight line EF falling upon the parallel straight lines AB, CD ; to prove that the alternate...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...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 lines shall be parallel to one another. Let the straight line EF, which falls upon...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 sider
...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. PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal to the squares...
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