 | University of Oxford - 1863 - 316 sider
...described on the other two sides of it, the angle contained by these two sides is a right angle. 6. If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel. 7. Divide a given... | |
 | Euclides - 1864 - 448 sider
...Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two... | |
 | Euclides - 1864 - 262 sider
...angle BA C to the third angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVII. THEOREM. If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight... | |
 | Euclides - 1865 - 402 sider
...CD. Wherefore, if a straight line, &c. QED PROP. XXVIII. -THEOREM. //' a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite, upon the same side of the line, or make the interior angles upon the same side, together equal to two... | |
 | Robert Potts - 1865 - 528 sider
...angle BA C to the third angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVII. THEOREM. If a straight line falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. Let the straight... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...angle BA C to the third angle EDF. [I. "Wherefore, if two triangles &c. QED PROPOSITION 27. THEOREM. If a straight line falling on two other straight lines, •make the alternate angles equal to one another, the two straight lines shall be parallel to one another. Let... | |
 | 1867 - 224 sider
...perpendicular to a given straight line of unlimited length from a given point without it, "3. , /*•. 5. If a straight line falling on two other straight lines make the alternate angles equal, the two straight lines 7. How would you construct a triangle having its sides... | |
 | Robert Potts - 1868 - 434 sider
...Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two... | |
 | Euclides - 1871 - 136 sider
...AB and CD are parallel. Def. 26. QED PROPOSITION XXVIII. THEOREM. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles -upon the same side together equal to two... | |
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If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight... 
