 | James Howard Gore - Geometry - 1898 - 232 pages
...Prove that the alternate-exterior angles are equal, or Z EGA = Z DHF, or Z EGB = Z ClIF. 2. Prove that the sum of the two interior angles on the same side of the cutting line, or transversal, are equal to two right angles. SUGGESTION. /.AGH= Z GHD ; add Z GHC.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...d' = st. Z, and a = 2 d, how large is each of the other angles ? 65. If a transversal cuts two lines making the sum of the two interior angles on the same side of the transversal a straight angle, one of them being 30° 27', how large is each of the other angles ? PROPOSITION XVIII.... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...transversal compare with a right angle ? Theorem. If two parallel straight lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is equal to two right angles. Data: Any two parallel straight lines, as AB and CD, cut by a trans-... | |
 | William James Milne - Geometry - 1899 - 404 pages
...when cut by a transversal the corresponding angles are equal. § 77 d. If when cut by a transversal the sum of the two interior angles on the same side of the transversal is equal to two right angles. § 79 e. If both are parallel to a third line. § 80 /. If they are the... | |
 | Harvard University - Geometry - 1899 - 39 pages
...corresponding angles are equal. Corollary II. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles. Corollary III. If a straight line is perpendicular to... | |
 | Joseph Battell - Force and energy - 1903 - 722 pages
...equal, the lines are parallel. PROPOSITION XI. 'If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the cutting line is two right angles.' (Figure 4). [Converse uf Proposition IX.] " Because each interior... | |
 | George Clinton Shutts - 1905 - 260 pages
...that the parallelogram is a rectangle. Ex. 106. . Given two parallel lines and a transversal. If each of the two interior angles on the same side of the transversal is bisected, prove that the bisectors are perpendicular to each other. PROPOSITION VII. 181. Theorem.... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...adjacent. Such are AGE and DHF, BGE and CHF. 625. When the two lines AB and CD are parallel (Fig. 22): 1st. The sum of the two interior angles on the same side of the transversal is equal to two right angles; and conversely, if the sum of two interior angles situated on the same... | |
 | Walter William Rouse Ball - Mathematicians - 1908 - 576 pages
...which is usually stated iu the form that if a straight line meets two straight lines, so as to make the sum of the two interior angles on the same side of it taken together less than two right angles, then these straight lines being continually7 produced... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...also. 194. Cor. V. (Opposite of Cor. Ill of Prop. XXII). If two straight lines are cut by a transversal making the sum of the two interior angles on the same side of the transversal not equal to two right angles, -the lines are not parallel. (HINT. Apply § 137, or use the indirect... | |
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If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles. 
