 | Euclides - 1845 - 546 sider
...third angle BAC to the third angle EDF. Wherefore if two triangles, &c. QED PROPOSITION XXVII. THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...C ; .'. AB || CD ; ™. ss. GEOMETRY. PROP. XXVII. THEOR. 28. 1 Eu. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line; or make the interior angles upon the same side together equal to two... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...meet towards A, C ; .-. AB || CD; Def. 35PROP. XXVII. THEOR. 28. 1 Eu. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line; or make the interior angles upon the same side together equal to two... | |
 | Dennis M'Curdy - 1846 - 166 sider
...two straight lines (AB, CD), make equal the exterior angle (EGB) to the interior opposite angle (GHD on the same side of the line ; or make the interior angles (BGH, GHD) equal to two right angles, the two lines shall be parallel. Argument 1. Since, by hyp. EGB... | |
 | Euclides - 1848 - 52 sider
...these two straight lines shall be parallel. PROP. XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two... | |
 | 1850 - 488 sider
...greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two... | |
 | 1867 - 336 sider
...which are opposite to the less of the two sides. Are such triangles necessarily equal? SSOTION III. 1. If a straight line, falling on two other straight lines, make the alternate angles equal to one another; these two straight lines slmll be parallel. Two triangles ABC,... | |
 | Euclides - 1853 - 146 sider
...to CD. Wherefore if a straight line, &c. QED PROP. XXVIII. THEOREM. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same side of the line; or make the interior angles upon the same side together equal to two... | |
 | Euclides - 1853 - 334 sider
...angles BGH, GHC are equal. Which was to be proved. II. Any one of the exterior angles, EGB, shall be equal to the interior and opposite angle on the same side of EF, viz. GHD. The angle EGB is equal to the angle AGH, since they are opposite vertical angles (i.... | |
 | Popular educator - 1852 - 1272 sider
...straight lines AB and o D are parallel. QED PROPOSITION XXVIII.*-THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite angle upon the lame side of the straight line ; or make the two interior angles upon the tame side of it,... | |
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If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight... 
