 | William Chauvenet - Geometry - 1871 - 380 pages
...supplements of equal angles are equal to each other. PROPOSITION III.— THEOREM. 21. Conversely, if the sum of two adjacent angles is- equal to two right angles, their exterior sides are in the same straight line. Let the sum of the adjacent angles AOD, n B OD,... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...angles is equal to two right angles. And Proposition III. may be enunciated thus : Hypothesis — if the sum of two adjacent angles is equal to two right angles, then — Conclusion — these adjacent angles have their exterior sides in the same straight line.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...Then ZOCB = ZACP. In like manner we may prove ZA С0 = ZP СB. QED PROPOSITION II. THEOREM. 51. When the sum of two adjacent angles is equal to two right angles, their exterior sides form one and the same straight line. 0 Let the adjacent angles Z 0 С A + Z. 0... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...the point of intersection are together equal to four right angles. PROPOSITION II. THEOREM. 51. When the sum of two adjacent angles is equal to two right angles, their exterior sides form one and the same straight line. 0 Let the adjacent angles ¿ OCA + Z 0 CB... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...also that the supplements of equal angles are equal to each other. PROPOSITION IV.—THEOREM 17. If the sum of two adjacent angles is equal to two right angles, their exterior sides are in the same straight line. Let the sum of the adjacent angles AOD, BOD, be... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...DCB. * The student should quote every reference in full. Proposition 3. Theorem. 54. Conversely, if the sum of two adjacent angles is equal to two right angles, their exterior sides are in one straight line. ,D -E -B Hyp. Let Z ACD + Z DCB = 2rt. Zs. To prove... | |
 | William Chauvenet - 1893 - 340 pages
...adjacent angles is equal to two right angles. And Proposition IV. may be enunciated thus : Hypothesis—if the sum of two adjacent angles is equal to two right angles, then—Conclusion—these adjacent angles have their exterior sides in the same straight line. Each... | |
 | John Tilden Prince - Arithmetic - 1894 - 138 pages
...Measure with the protractor the sum of two adjacent angles. 4. Can you show without a protractor that the sum of two adjacent angles is equal to two right angles ? 5. Find the supplement or adjacent angle of each of the following angles : 40°; 80°; 60°; 120°;... | |
 | John Tilden Prince - Arithmetic - 1894 - 246 pages
...straight line. (It will be observed that one element of adjacent angles is left out in 2.) 4 To prove that the sum of two adjacent angles is equal to two right angles. Draw DO perpendicular to AS. '° AOC+BOC — AOD+BOD = 2 right angles. -.A 00+ BOC— 2 right angles.... | |
 | Édouard Deville, Canada. Topographical Survey - Photographic surveying - 1895 - 286 pages
...the sum of the two remaining ones must be equal to two right angles ; that is But in a parallelogram the sum of two adjacent angles is equal to two right angles ; that is, hence, CDB + DC A = 180° EDO = DC A. Therefore the two parallelograms are equiangular and... | |
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If the sum of two adjacent angles is equal to two right angles, the exterior arms of the angles are in the same straight line. 
