 | Edward Atkins - 1877 - 72 pàgines
...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... | |
 | Stephen Thomas Hawtrey - 1878 - 202 pàgines
...with the aid of the following explanation. Euclid proves first, in the seventh Proposition, that on the same base and on the same side of it there cannot be two triangles, having the two sides ending in one extremity of the base equal to each other, and likewise the two sides ending... | |
 | Henry Crocker M. Watson - 1879 - 280 pàgines
...MAESTON, SBAKLB, & RIVINGTON, CROWN BUILDINGS, 188, FLEET STREET. 1879. [All rights reserved. ] . " 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... | |
 | W J. Dickinson - 1879 - 44 pàgines
...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 cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise... | |
 | Euclides - 1879 - 146 pàgines
...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 be two triangles that have their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
 | Edward Harri Mathews - 1879 - 94 pàgines
...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 - 428 pàgines
...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... | |
 | Isaac Todhunter - 1880 - 426 pàgines
...&c. QED Corollary. Hence every equiangular triangle is also equilateral. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot...triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other... | |
 | T S. Taylor - 1880 - 152 pàgines
...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 the other... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 pàgines
...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... | |
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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. 
