| Charles Davies - 1849 - 359 sider
...angles. PROPOSITION XXI. THEOREM. If a straight line meet two other straight lines, making the sum of **the interior angles on the same side less than two right angles,** the two lines will meet if sufficiently produced. Letthe line EFmeet the two lines CD, IH, making the... | |
| Euclides - 1852
...GHD; but the angles AGH, BGH are equal* to two right angles; • xiii. i therefore the angles BGH, GHD **are less than two right angles; but those straight...the same side less than two right angles, do meet** together if continually produced; therefore the straight lines AB, CD, if produced far enough, shall... | |
| A. M. LEGENDRE - 1852
...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
...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 those straight...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... | |
| Euclides - 1853 - 147 sider
...two right angles; but straight lines which with another straight line make the interior angles upon **the same side less than two right angles, do meet (12 ax.)** if produced far enough : therefore eb, fd shall meet if produced towards b, d : let them meet in g,... | |
| Popular educator - 1854
...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 - 432 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
...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,** mate the two interior angles upon ihe same side of it less than two right angles, meet (Ax. 12) if... | |
| Robert Potts - 1860 - 361 sider
...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 those straight...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
...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... | |
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