 | Adrien Marie Legendre - 1852 - 436 pagina’s
...obtuse angles. PROPOSITION XXI. THEOEEM. If two straight lines meet a third line, raaking tlie sum of the interior angles on the same side less than two right angles^ the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making... | |
 | Euclides - 1853 - 146 pagina’s
...angles BGH, GHD; but the angles AGH, BGH, are equal (I. 13,) to two right angles ; therefore 2. The angles BGH, GHD, are less than two right angles; but...angles on the same side less than two right angles, will meet (Ai. 12.) together if continually produced ; therefore 3. The straight lines AB, CD, shall... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...GHD; but the angles AGH, BGH are equal (13. i.) to two right angles; therefore the angles BGH, GIID, are less than two right angles ; but those straight...the same side less than two right angles, do meet (12 Ax.) together if continually produced ; therefore the straight lines AB, CD, if produced far enough,... | |
 | Euclides - 1853 - 176 pagina’s
...angles a.gh, bgh, are equal (i. 13) to two right • • f angles ; therefore the angles bgh, ghci are less than two right angles ; but those straight...the same side less than two right angles, do meet (12 ax.) together if continually produced ; therefore the straight lines ab, С d, if produced far... | |
 | Popular educator - 1854 - 922 pagina’s
...н F к are together equal (I. 29) to two right angles. Therefore the two angles в н F and u F в are less than two right angles. But those straight lines which, with another straight line, make the two interior angles upon the same side of it less than two right angles, do meet (Ax. 12)... | |
 | Charles Davies - 1854 - 436 pagina’s
...obtuse angles. PROPOSITION XXI. THEOREM. If two straight lines meet a third line, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making... | |
 | Euclides - 1855 - 270 pagina’s
...angles BGH, GHD. But the two angles AGH, BGH, are equal (I. 13) to two right angles. Therefore the two angles BGH, GHD, are less than two right angles. But those straight Unes, which with another straight line falling upon them, make the two interior angles on the same... | |
 | Robert Potts - 1860 - 380 pagina’s
...BGH, GHD; (ax. 4.) but the angles A GH, BGH are equal to two right angles ; (l. 13.) therefore the angles BGH, GHD are less than two right angles ; but...another straight line falling upon them, make the two interior angles on the same side less than two right angles, will meet together if continually... | |
 | Euclides - 1862 - 172 pagina’s
...the angles AGH, BGH, are equal to two right angles ; (i. 13) therefore the angles BGH, GHD, must be less than two right angles; but ' those straight lines...angles on the same side less than two right angles, will meet together if continually produced;' (ax. 12) therefore the straight lines AB, CD, must meet... | |
 | Euclides - 1863 - 122 pagina’s
...two angles AHF, HFE are together equal (I. 29) to two right angles. Therefore the two angles BHF, HFE are less than two right angles. But those straight lines which with another straight line make the /-4-N two interior angles upon the / C same side of it less than two / ,' x -^ right angles,... | |
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That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. 
