 | War office - 1858 - 578 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 same straight line with...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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.... | |
 | S. M. Saxby - 1862 - 200 pagina’s
...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... | |
 | University of Oxford - 1863 - 316 pagina’s
...1. Define — a right angle, segment of a circle, parallel straight lines, parallelogram, gnomon, 2. If two straight lines cut one another, the vertical, or opposite angles, shall be equal. Give the corollaries. 3. Make a triangle, of which the sides shall be equal to three given straight... | |
| |
ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight... 
