| John Playfair - Geometry - 1855 - 350 pages
...PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior an gle **equal to the interior and opposite upon the same side of the** Itnt; or makes the interior angles upon the same side together equal to two right angles ; the two... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to CD. Wherefore, if a straight line &c. QED PROPOSITION 28. THEOREM. 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to CD. Wherefore, if a straight line &c. QED PROPOSITION 28. THEOREM. 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... | |
| Robert Potts - 1868 - 434 pages
...therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. **If a straight line falling upon two other straight...straight lines shall be parallel to one another. Let the** straight line EF, which falls upon the two straight lines AB, CD, make the exterior angle EGB equal... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 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, GHDV... | |
| Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...difference between equal and equivalent triangles 1 3. If the straight line falling upon two other **lines make the exterior angle equal to the interior and opposite upon the same side,** &c. BI 28. 4. When is a problem said to be indeterminate ? •5. If the sides of a triangle be bisected,... | |
| Euclides - 1871 - 136 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. T Let the... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...two other straight lines, makei 'he alternate angles equal to each other, or makes an exterior «ngle **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 j. mtersects the two straight... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...angles 1 and 5, 2 and 6, 4 and 8, 3 and 7 are called corresponding angles. PROPOSITION XXVII. THEORKM. **If a straight line, falling upon two other straight lines, make the** alternate angles equal to one another ; these two straight lines must be parallel. Let the st. line... | |
| Henry Major - Student teachers - 1873 - 588 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... | |
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