 | Euclides - 1845 - 546 σελίδες
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the... | |
 | Euclid - 1845 - 218 σελίδες
...angle BAC to the third angle EDF. Therefore, if two triangles, &c. QED PROPOSITION XXVII. THEOB. — If a straight line falling upon two other straight lines makes the alternate angles equal to one another, these two straight lines shall be parallel. Let the straight... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...GEOMETRY. PROP. XXVII. THEOR. 28. 1 Eu. 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 lines... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...Def. 35PROP. XXVII. THEOR. 28. 1 Eu. 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 lines... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. • Let... | |
 | Euclides - 1846 - 292 σελίδες
...the third angle BAC to the third angle EDF. Wherefore, If two triangles %c. QED PROP. XXVII. THEOR. If a straight line, falling upon two other straight lines, makes the alternate anyles equal to one another, these two straight lines shall be parallel. Let the straight... | |
 | Euclides - 1847 - 128 σελίδες
...has been drawn making = L ' with the gn. st. lines AB, CD. — QEF PROP. XXVII. THEOR. GEN. ENUN. — If a straight line, falling upon two other straight lines, makes the adjacent angles equal to one another, these two straight lines are parallel. PART. ENUN. — Let the... | |
 | Great Britain. Committee on Education - 1847 - 708 σελίδες
...respectively ? VII.— Geometry. 1. Bisect a given rectilineal angle into two equal angles. 2. Show that if a straight line, falling upon two other straight lines, makes the alternate angles equal to each other, these two straight lines shall be parallel. 3. Show that in any... | |
 | Euclides - 1848 - 52 σελίδες
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. PROP.... | |
 | Elias Loomis - 1849 - 252 σελίδες
...intersecting two other straight lines, makes the alternate angles equal to each other, or makes an exterior angle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. intersects the two straight lines AB, / Let the straight... | |
| |
Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together... 
