 | 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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Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
