 | George Roberts Perkins - 1856 - 460 páginas
...sometimes called opposite exterior and interior angles. THEOREM XvII. If two straight lines are cut ly a third line, making the sum of the two interior angles on the same side equal to two right angles, the two lines will T)e parallel. For we have BGH + BGE = 2 right E angles... | |
 | George Roberts Perkins - 1860 - 472 páginas
...the direction of the lines, are sometimes called opposite exterior and interior angles. THEOREM XVH. If two straight lines are cut by a third line, making...the sum of the two interior angles on the same side equal to two right angles, the two lines will be parallel. For we have BGH + BGE = 2 right « angles... | |
 | Horatio Nelson Robinson - 1860 - 470 páginas
...the same direction are parallel, (Def. 13). Hence the theorem ; if a line intersects two other lines, making the sum of the two interior angles on the same side of the intersecting line equal to two right angles, the two lines must be parallel. Cor. 1. If a line... | |
 | Richard Wormell - 1868 - 286 páginas
...alternate angles. 2nd. Of the exterior alternate angles. 3rd. Of the corresponding angles. 7. Prove that the sum of the two interior angles on the same side of the transversal is equal to two right-angles. 8. Prove that two angles are equal when their sides are parallel and... | |
 | Horatio Nelson Robinson - 1868 - 276 páginas
...the same direction are parallel, (Def. 13). Hence the theorem ; if a line intersects two other lines, making the sum of the two interior angles on the same side of the intersecting line equal to two right angles, the two lines must b* •parallel. Cor. 1. If a line... | |
 | Richard Wormell - 1870 - 304 páginas
...alternate angles. 2nd. Of the exterior alternate angles. 3rd. Of the corresponding angles. 7. Prove that the sum of the two interior angles on the same side of the transversal is equal to two right-angles. 8. Prove that two angles are equal when their sides are parallel and... | |
 | William Chauvenet - 1871 - 380 páginas
...corresponding angle. Thus, since HGB = GHC and GHC =FHD, there follows H GB = FHD; etc. 52. Corollary III. The sum of the two interior angles on the same side of the secant line is equal to two right angles. For, GHD -(HGB = GHD + GHC = two right angles (11). 53.... | |
 | Edward Olney - 1872 - 472 páginas
...scholium will save the student from confounding these propositions.] PROPOSITION T. 135. Theorem. — If two straight lines are cut by a third line making the sum of the interior angles on one side of the secant line less than two right angles, the /wo lines will meet... | |
 | Edward Olney - 1872 - 270 páginas
...scholium will save the student from confounding these propositions.] PROPOSITION V. 155. Theorem.—If two straight lines are cut by a third line making the sum of the interior angles on one side of the secant line less than two right angles, the two lines will meet... | |
 | André Darré - 1872 - 226 páginas
...equal straight lines can be drawn to the circumference. 5. When a secant meets two straight lines, if the sum of the two interior angles on the same side of the secant is equal to two right angles, the lines are parallel. 6. To draw a line from a given point... | |
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If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles. 
