 | 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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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... 
