 | Euclides - 1864 - 448 σελίδες
...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 B C. Wherefore, if at a point, &c. QED PROPOSITION XV. THEOREM. If two straight lines cut one another,... | |
 | Euclides - 1864 - 262 σελίδες
...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 lines cut one another,... | |
 | Robert Potts - 1865 - 528 σελίδες
...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 same straight line with...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 σελίδες
...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 σελίδες
...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 σελίδες
...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...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 σελίδες
...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 σελίδες
...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 σελίδες
...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.... | |
 | Robert Potts - 1868 - 434 σελίδες
...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. PROPOSITION XV. THEOREM. If two straight lines cut one another, the vertical, or opposite angle*... | |
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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... 
