| Elias Loomis - Conic sections - 1857 - 242 pages
...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... | |
| 1858 - 398 pages
...the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two **interior angles upon the same side together equal to two right angles.** 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be equal to the... | |
| Euclides - 1860 - 288 pages
...parallel to CD. PROPOSITION XXTHI. THEOREM. If a straight line falling upon two other straight lines makes **the exterior angle equal to the interior and opposite upon the same side of the line, or** makes the interior angles upon the same side together equal to two right angles, the two straight lines... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
| Royal college of surgeons of England - 1860 - 336 pages
...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... | |
| Civil service - 366 pages
...the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two **interior angles upon the same side together equal to two right angles.** PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal to the squares... | |
| War office - 1861 - 714 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 - 260 pages
...(10-15> w (-0076)* 6. Reduce to its lowest terms Solve the equation 3x . x-1 _ 7x+l3 . x + 2 ~ 7 28 7. **If a straight line falling upon two other straight lines make the** alternate angles equal to each other, the two straight lines shall be parallel. 8. Draw a tangent to... | |
| Euclides - 1862 - 140 pages
...parallel to CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 28.— THEOREM. **If a straight line falling upon two other straight...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 - 520 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... | |
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