 | University of Oxford - 1863 - 316 sider
...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... | |
 | Euclides - 1864 - 448 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 B C. Wherefore, if at a point, &c. QED PROPOSITION XV. THEOREM. If two straight lines cut one another,... | |
 | Euclides - 1864 - 262 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 lines cut one another,... | |
 | Robert Potts - 1865 - 528 sider
...which is impossible : therefore BE is not in the same straight line with B C. 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. lf two straight lines cut one another,... | |
 | Euclides - 1865 - 402 sider
...impossible ; therefore 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 BD is in the same straight line with BC. Wherefore, if at a point, &c. QED PROP. XV.— THEOREM.... | |
 | Euclides - 1865 - 80 sider
...below BD, it must lie upon BD ; and therefore CB and BD are in the same straight line. PROPOSITION VII. THEOR. If two straight lines cut one another, the vertical or opposite angles are equal. Let the two straight lines AB and CD cut one another in the point E, the angle AEC is equal... | |
 | John Playfair - 1855 - 350 sider
...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...but BD, which therefore is in the same straight line withCB. PROP. XV. THEOR. If two straight lines cut one another, the vertical, or opposite angles are... | |
 | Great Britain. Parliament. House of Commons - 1866 - 862 sider
...many kinds of triangles are there in considering the variation both of the angles and the sides ? 2. If two straight lines cut one another, the vertical, or opposite angles shall be equal. If two straight lines are respectively at right angles to two others which intersect, show that each... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...impossible. Therefore BE is not in the same straight line with CB. And in the same manner it may be shewn that no other can be in the same straight line with it but BD ; therefore BD is in the same straight line with CB. Wherefore, if at a point &c. QED PROPOSITION 15.... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...impossible. Therefore BE is not in the same straight line with CB. And in the same manner it may be shewn that no other can be in the same straight line with it but BD ; therefore BD is in the same straight line with CB. Wherefore, if at a point &c. QED PROPOSITION 15.... | |
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ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. 
