 | War office - 1858 - 578 sider
...by the tables the values of — (1) ^3/75:29 (2) "00752 X (2-34)* \i) V/75^.» W (15-26)2 Euclid. 1. If two straight lines cut one another, the vertical or opposite angles shall be equal. How will the two straight lines cut each other when all the four vertical angles are equal ? 2. If... | |
 | W. Davis Haskoll - 1858 - 422 sider
...right angles, these two 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. The 17th, Book I. Any two angles of a triangle are together less than two right angles. The 18th, Book... | |
 | Elias Loomis - 1858 - 256 sider
...impossible. Hence BE is not in the same straight line with BC ; and in like manner, it may be proved that no other can be in the same straight line with it but BD. Therefore, if at a point, &c. PROPOSITION IV. THEOREM. Two straight lines, which have two points common,... | |
 | Robert Potts - 1860 - 380 sider
...which is impossible : therefore BE is not in the same straight line with BC. And in the same manner it may be demonstrated, that no other can be in the...which therefore is in the same straight line with BC. Wherefore, if at a point, &c. QED PROPOSITION XV. THEOREM. If two straight Una cut one another,... | |
 | Euclides - 1860 - 288 sider
...the same straight line with BC. And, in like manner, it may be demonstrated that no other can be iu the same straight line with it but BD, which, therefore, is in the same straight line with CB. PROPOSITION xv. THEOREM:. If two straight lines cut one another, the vertical or opposite angles shall... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...lines to cut off a part equal to the less. Quote any axioms or postulates used in the proposition. 3. If two straight lines cut one another, the vertical or opposite angles shall be equal. 4. Straight lines which are parallel to the same straight line are parallel to one another. 5. If a... | |
 | S. M. Saxby - 1861 - 140 sider
...complement of CB, and HC is called the supplement of CB. Fig. 12. 19. Book I. XV. tells us that if two right lines cut one another the vertical or opposite angles shall be equal. Thus, the angles CEA and BED are equal to each other, as are also CEB and AED ; the angle CEA means... | |
 | Euclides - 1862 - 140 sider
...which is impossible. 7. Therefore BE is not in the same straight line with BC. 8. And, in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD. 9. Therefore BD is in the same straight line with BC. Conclusion. — Therefore, if at a point, &e.... | |
 | Euclides - 1862 - 172 sider
...impossible ; therefore BE in not in the same straight line with BC. And, in like manner, it may be proved, that no other can be in the same straight line with it but BD, therefore BD 1» in the lame straight line wltn BC. Wherefore, if at a point, &c. QED PROP. XV.—... | |
 | S. M. Saxby - 1862 - 200 sider
...of CB, and HC is called the supplement of C B. Fig. 6. * 23. Book I. XV. tells us that if two right lines cut one another the vertical or opposite angles shall be equal. Thus, the angles CEA and BED are equal to each other, as are also CEB and AED ; the angle CEA means... | |
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ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. 
