| William Nicholson - 1821 - 406 σελίδες
...and HUG together; and therefore (5) are equal together to the sum of two right angles. 15. Theorem V. If a straight line falling upon two other straight lines makes the alternate angles equal to one another, those two straight lines will be parallel. Let the straight... | |
| Peter Nicholson - 1825 - 1046 σελίδες
...angle ВАС to die third angle EDF. Therefore, if two triangles, Sec. QED Proposition X.XVII. Theorem. 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... | |
| Robert Simson - 1827 - 546 σελίδες
...straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same s1de of the line / or make the interior angles upon the same side together equal to two right angles... | |
| Pierce Morton - 1830 - 584 σελίδες
...line falls upon two other straight Unes, so os to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight... | |
| John Playfair - 1832 - 358 σελίδες
...another. AB therefore is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior tingle equal to the interior and opposite upon the same side of the line; or mukes the interior angles... | |
| Thomas Perronet Thompson - 1833 - 168 σελίδες
...angles of the other respectively ; &c. Which was to be demonstrated. PROPOSITION XXVII. THEOREM. — If a straight line falling upon two other straight lines makes the alternate angles equal to one another, those two straight lines being prolonged ever so far both mays,... | |
| Euclides - 1834 - 518 σελίδες
...proposition. C PROPOSITION XXVIII. THEOR. — If a straight line, failing 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... | |
| 1835 - 684 σελίδες
...line falls upon two other straight lines, so as to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight... | |
| Euclid - 1835 - 540 σελίδες
...third angle BAC to the third angle EDF. Therefore, " if two triangles," &c. QED PROP. XXVII. THEOR. If a straight line falling upon two other straight lines makes the alternate angles equal to one another, these two straight lines are parallel. Let the straight line... | |
| 1836 - 488 σελίδες
...be equal, each to each ; and also the third angle of the one to the third angle of the other. XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to one another, these two straight lines are parallel. XXVIII. If a straight... | |
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