| Adrien Marie Legendre - 1852 - 436 sider
...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 sider
...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 sider
...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 - 178 sider
...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 - 940 sider
...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 sider
...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 - 262 sider
...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 sider
...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 sider
...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 sider
...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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