 | William Nicholson - 1809 - 684 σελίδες
...makes the exterior angle equal to the interior and opposite one on the same side of the line ; or makes the interior angles on the same side equal to two right angles , the two straight lines shall be parallel to one another. I'M; M, 1,1 j. planes, are such planes ai have... | |
 | William Nicholson - 1809 - 716 σελίδες
...exterior angle equal to the interior and opposite one on the same side of tin- line ; or makes tile interior angles on the same side equal to two right angles ; the two straight lines shall be parallel to one another. PARALLEL planet, are such planes a* have all the... | |
 | William Nicholson - 1821 - 406 σελίδες
...makes the exterior angle equal to the interior and opposite one on the same side of the line ; or makes the interior angles on the same side equal to two right angles ; the two straight lines shall be parallel to one another. 1' niAL'.ci. planes, are such planes as have all... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...line ; which is impossible (P. 14). PROPOSITION XIX, THEOEEM. If two straight lines meet a third line, making the sum of the interior angles on the same side equal to two right angles, the two' lines are parallel. Let the two lines KG, HD, meet the line BA, making the angles BAC, ABD, together... | |
 | Charles Davies - 1854 - 436 σελίδες
...line ; which is impossible (P. 14). PROPOSITION XIX. THEOREM. If two straight lines meet a third line, making the sum of the interior angles on the same side equal to two right angles, the two lines are parallel. Let . the two lines KO, HD, meet the line BA, making the angles BA C, ABD,... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...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 (TI), therefore BGH + DHG G /... | |
 | William E. Bell - 1859 - 226 σελίδες
...also are the four obtuse angles. Proposition XIII. Theorem. If two straight lines meet a third line, making the sum of the interior angles on the same, side equal to two right angles, the two lines will be parallel. Let the two lines AB, CD, meet the third line EF, so as to make the angles... | |
 | George Roberts Perkins - 1860 - 472 σελίδες
...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 (TI), therefore BGH + DUG 0 /... | |
 | Charles Davies - 1872 - 464 σελίδες
...interior angles. PROPOSITION XIX. THEOREM. If two straight lines meet a third straight line, making (he sum of the interior angles on the same side equal to two right angles, the two lines will be parallel. Let the lines KC and JZD meet the line JBA, making the sura of the angles... | |
 | Adrien Marie Legendre - 1874 - 500 σελίδες
...exterior and interior angles. PROPOSITION XIX. THEOREM. If two straight lines meet a third straight line, making the sum of the interior angles on the same side equal to two right angles, the two lines will be parallel. Let the lines KG and IID meet the line HA, making the sum of the angles... | |
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A straight line falling on parallel straight lines makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle, and the interior angles on the same side equal to two right angles... 
