 | Thomas Keith - 1826 - 504 σελίδες
...stright line intersect two parallel straight lines it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite on the same side of the line. (P) All angles in the same segment of a circle are equal to each other. (Q) An angle at the centre... | |
 | Robert Mudie - 1836 - 542 σελίδες
...conversely ; so that if a line falling upon or crossing other two lines makes the alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude... | |
 | Robert Mudie - 1836 - 524 σελίδες
...conversely ; so that if a line falling upon or crossing other two lines makes the alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude... | |
 | Thomas Keith - 1839 - 498 σελίδες
...line intersect two parallel straight lines, it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite on the same side of the line. (86) All angles in the same segment of a circle are equal to each other. (87) An angle at the centre... | |
 | Elias Loomis - 1849 - 252 σελίδες
...straight line intersect two parallel lines, it makes the alternate angles equal to each other; also, any exterior angle equal to the interior and opposite on the same side; and the two interior angles on the same side together equal to two right angles. Let the straight line... | |
 | Popular educator - 1852 - 1272 σελίδες
...itscit into the proposition, that if ;i straight line falls upon two parallel straight lines, it makes the exterior angle equal to the interior and opposite on the same side of the lino ; propounded in other terms, without the intervention of any new or explanatory idea. 18. In a... | |
 | Elias Loomis - 1858 - 256 σελίδες
...straight line intersect two parallel lines, it makes the alternate angles equal to each other ; also, any exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...line fall upon two parallel straight Unes, it makes the alternate angles equal to each other ; and the exterior angle equal to the interior and opposite on the same side of the line ; and the two interior angles on the same side together equal to two right angles. 5. The opposite... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...straight lines are parallel and are intersected by a third straight line, the exterior /_ so formed is equal to the interior and opposite ^ on the same side of the intersecting line. (Prop. XXIX.) 2. That if two AS hare two ^s of the one equal to two ^s of the other,... | |
 | Euclides - 1879 - 146 σελίδες
...perpendicular to it. PROPOSITION XXVIII. THEOREM. If a straight line falling on two other straight lines •make the exterior angle equal to the interior and opposite on the same side of the line; or make the interior angles on fhe same side together equal to two right angles ; the two straight... | |
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... the exterior angle equal to the interior and opposite on the same side of the line ; and likewise the two interior angles on the same side of the line together equal to two right angles. 
