| Euclides - 1855
...added to this proposition by Euclid, are included in those now added to Prop. XIII. Exercise 1. — **If at a point in a straight line two other straight lines** meet upon the opposite sides of it, and make the vertical or opposite angles equal, these two straight... | |
| Elias Loomis - 1857 - 226 sider
...sides of it, make the adjacent angles together equal to two right angles, these two straight lines are **in one and the same straight line. At the point B, in** the straight line AB, let the two straight linns BC, BD, upon the opposite sides of AB, make the adjacent... | |
| W. Davis Haskoll - 1858 - 324 sider
...side of it, are either two right angles, or are together equal to two right angles. The 14th, Book I. **If at a point in a straight line, two other straight...lines shall be in one and the same straight line.** The 15th, Book I. If two straight lines cut one another, the vertical or opposite angles shall be equal.... | |
| Elias Loomis - 1858 - 234 sider
...equal to that of the two adjacent angles BAD, DAF. B E PROPOSITION in. THEOREM (Converse of Prop. II.). **If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines** are in one and the same straight line. At the point B, in the straight line AB, let the two straight... | |
| Euclides - 1858
...its sides equal, and its angles rt. angles. P. 14. If at a point in a st. line two other st. lines on **the opposite sides of it make the adjacent angles together equal to two** rt. angles, these two lines shall be in one and the same st. line. Ax. 1. Things equal to the same... | |
| Robert Potts - 1860 - 361 sider
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOREM. **If at a point in a straight line, two other straight...adjacent angles together equal to two right angles** ; then these two straight lines shall be in one and the same straight line. At the point B in the straight... | |
| Royal college of surgeons of England - 1860
...one another, and likewise ^ those which are terminated in the other extremity. (Second case only.) 3. **If at a point in a straight line, two other straight...opposite sides of it make the adjacent angles together** .jequal to two right angles, these two straight lines shall be in one and the same straight line. 4.... | |
| Popular educator - 1860
...at a point ma straight line two other straight line» malte the two angles on opposite sides of it, **together equal to two right angles, these two straight lines shall be in** the same straight line ; but if they make two right angles on the same side of it, they shall coincide... | |
| Euclides - 1860
...angles be equal .i to one of another pair, the remaining angles must be equal. PROPOSITION Xrv. THEOREM. **If, at a point in a straight line, two other straight lines, upon** tlie opposite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
| Elias Loomis - 1861 - 234 sider
...THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon me **opposite sides of it, make the adjacent angles together...equal to two right angles, these two straight lines** are in one and the same straight line. then will BD be in the same straight line with CB. For, if BD... | |
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