 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 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... | |
 | Elias Loomis - 1858 - 256 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... | |
 | 1858 - 398 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... | |
 | Euclides - 1860 - 288 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... | |
 | Robert Potts - 1860 - 380 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... | |
 | 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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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... 
