 | Elias Loomis - 1857 - 242 σελίδες
...two other straight lines, makes Che alternate angles equal to each other, or makes an exterior tngle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. Let the straight line EF, which E intersects the two straight... | |
 | Euclides - 1858 - 248 σελίδες
...falling upon two other st. lines makes the exterior angle equal to the interior and opposite angle upon the same side of the line ; or makes the interior angles upon the same side together equal to two rt. angles ; the two st. lines shall be parallel. DEMONSTRATION. — P. 15. If two st. lines cut one... | |
 | Royal college of surgeons of England - 1860 - 332 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 saine side together equal to two right angles. 6. Parallelograms... | |
 | Robert Potts - 1860 - 380 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... | |
 | Euclides - 1860 - 288 σελίδες
...ABC to the triangle DEF, and the third angle BAC to the third angle EDF. PROPOSITION XXVII. 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. Given that the straight... | |
 | War office - 1861 - 714 σελίδες
...for pasture ; how many sheep, can he keep altogether \ EUCLID. 1. Define parallel straight lines ; If a straight line falling upon two other straight...exterior angle equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side of the line equal... | |
 | Euclides - 1862 - 172 σελίδες
...line, &c. QED PROP. 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 right angles ; then the two straight... | |
 | Euclides - 1862 - 140 σελίδες
...line fall upon tin 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. (References—... | |
 | Euclides - 1864 - 448 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 lihewise the two interior angles upon the same side together equal to two right angles. Let the... | |
 | J. F. H. de Rheims - 1865 - 336 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.... | |
| |
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... 
