 | George Roberts Perkins - 1856 - 460 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
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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. 
