 | 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
...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 also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
 | Euclides - 1847 - 128 σελίδες
...and opposite angle upon the same side of the line, or makes the interior angles upon the same side equal to two right angles, the two straight lines shall be parallel to one another. PART. ENUN. — Let the st. line EF, falling upon the two st. lines AB, CD, make the exterior 2. BGB... | |
 | Euclides - 1848 - 52 σελίδες
...to each, and also the third angle of the one to the third angle of the other. PROP. XXVII. THEOREM. If a straight line falling upon two other straight lines make the alternate angles equal to one another ; these two straight lines shall be parallel. PROP. XXVIII. THEOREM.... | |
 | 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... | |
 | Euclid, Thomas Tate - 1849 - 120 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 egual to two right angles. Let the... | |
 | 1850 - 488 σελίδες
...produced, the exterior angle is greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon two other straight...two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite... | |
 | 1851 - 502 σελίδες
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In... | |
 | Euclides - 1852 - 152 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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; 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... | |
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Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
