 | War office - 1861 - Liczba stron: 714
...the same side of the line, or makes the interior angles on the same side of the line equal together to two right angles ; the two straight lines shall be parallel to one another. not pass through its centre, and the other straight line touches the circle, the rectangle contained... | |
 | War office - 1861 - Liczba stron: 260
...the exterior angle equal to the interior and opposite angle on the same side, and likewise the two interior angles upon the same side together equal to two right angles. 2. Draw a straight line from a given point without the circumference which shall touch a given circle.... | |
 | Euclides - 1862 - Liczba stron: 172
...to CD. Wherefore, if a straight line, &c. QED PROP. XXVIII.— THEOREM. If a straight line falling upon two other straight lines, make the exterior angle...the same side, together equal to two right angles ; then the two straight lines shall be parallel to one another. (References — Prop. 1. 13, 15, 27... | |
 | Euclides - 1862 - Liczba stron: 140
...Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 28.— THEOREM. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the tame side of the line, or make the interior angles upon the same fide together equal to two right angles,... | |
 | Benjamin Greenleaf - 1862 - Liczba stron: 518
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD... | |
 | Benjamin Greenleaf - 1861 - Liczba stron: 638
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EP inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD... | |
 | University of Oxford - 1863 - Liczba stron: 316
...Describe a square that shall be equal to a given rectilineal figure. 9. If a straight line falling on two other straight lines make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to... | |
 | Benjamin Greenleaf - 1863 - Liczba stron: 504
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV... | |
 | Euclides - 1864 - Liczba stron: 262
...CD. Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle...to two right angles ; the two straight lines shall oe parallel to o><e another. Let the straight line EF, which falls upon the two straight lines AB,... | |
 | Euclides - 1864 - Liczba stron: 448
...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... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
