| Thomas Keith - Navigation - 1826 - 442 pages
...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 - Mathematics - 1836 - 542 pages
...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 - Mathematics - 1836 - 524 pages
...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 pages
...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 - Conic sections - 1849 - 252 pages
...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 - 1854 - 1274 pages
...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 - Conic sections - 1858 - 234 pages
...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 - 336 pages
...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 - Geometry - 1872 - 212 pages
...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 - 142 pages
...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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