 | Euclides - 1877 - 58 σελίδες
...seventh ; the student is therefore advised to omit this proposition on his first reading of Euclid.] Upon the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise... | |
 | Edward Atkins - 1877 - 72 σελίδες
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, Then upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in one extremity of the base equal to one... | |
 | Henry Crocker Marriott WATSON - 1879 - 280 σελίδες
...MAESTON, SBAKLB, & RIVINGTON, CROWN BUILDINGS, 188, FLEET STREET. 1879. [All rights reserved. ] . " Upon the same base, and on the same side of it, there...terminated in the other extremity. If it be possible, on the game base AH, and npon the same side of it, let there "be two triangles, ACS, ADB, •which... | |
 | W J. Dickinson - 1879 - 44 σελίδες
...proposition. What proposition is the converse of this. Show that every equiangular triangle is equilateral. 7. Upon the same base and on the same side of it there...those which are terminated in the other extremity. 8. If two triangles have two sides of the one equal to two sides of the other, each to each, and have... | |
 | Euclides - 1879 - 146 σελίδες
...that the bisecting lines form with the base another isosceles triangle. PROPOSITION VII. THEOREM. On the same base, and on the same side of it, there cannot...triangles that have their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other... | |
 | Edward Harri Mathews - 1879 - 94 σελίδες
...line. t Draw the figure for the case where the given point is in the straight line produced. 3. On the same base, and on the same side of it, there cannot be two triangles which have their sides, which are terminated in one extremity of the base, equal to one another, and... | |
 | Moffatt and Paige - 1879 - 426 σελίδες
...sides BA, AC do not coincide with the sides ED, D F. but have a different situation, as EG, GF ; Then, upon the same base, and on the same side of it, there can be two triangles which have their sides that are terminated in one extremity of the base equal... | |
 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...position, as GE, GF, then upon the same base and upon the same side of it there can be two A s, which.have their sides which are terminated in one extremity of the base equal, and their sides which are terminated in the other extremity of the base also equal: which is impossible.... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...straight line BC from its middle point D, prove, if BA and CA be joined, that BA = CA. PROP. VII. THEOREM. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to each other, and likewise, those which are terminated... | |
 | T S. Taylor - 1880 - 152 σελίδες
...THEOREM (Euclid I. 7). Assumed here as an axiom and explained. Proved on page 96. General Enunciation. On the same base, and on the same side of it, there cannot be two triangles having the two sides terminated in one extremity of the base equal, and likewise those terminated in... | |
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Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another. 
