| War office - 1861 - 12 pages
...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
...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
...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
...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 - Geometry - 1862 - 490 pages
...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 - Geometry - 1861 - 490 pages
...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 - Education, Higher - 1863
...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 - Geometry - 1863 - 320 pages
...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
...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
...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... | |
| |