 | James Andrew Blaikie, William Thomson - 1891 - 154 σελίδες
...sides opposite to them shall also be equal. Cor.— Every equiangular triangle is also equilateral. 7. On the same base, and on the same side of it, there cannot be two triangles having the sides which are terminated at one end of the base equal and also those which are terminated at... | |
 | 1891 - 442 σελίδες
...propositions referred to. 3. Give the enunciation, construction and proof of proposition VII. "Upon the same base and on the same side of it there cannot be two triangles," &c. SECTION II. 4. Draw the figures of the propositions II. and XI. in both books. 5. Prove that the... | |
 | Emily Elizabeth Constance Jones - 1892 - 318 σελίδες
...complete analysis of the logical procedure adopted by Euclid in demonstrating the proposition : ' 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... | |
 | Euclid - 1892 - 460 σελίδες
...must coincide with ED and DF : for if not, they would have a different situation, as EG, GF: then, on the same base and on the same side of it there would be two triangles having their conterminous sides equal. But this is impossible. i. 7. Therefore... | |
 | Emily Elizabeth Constance Jones - 1892 - 318 σελίδες
...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.' (C.) 178. Show the precise value and character of historical... | |
 | 1894 - 1136 σελίδες
...demonstration of the 5th proposition. 4. Discuss the truth of the following :— Upon the same base and the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base equal to each other. Where do we first meet the expression, " much greater... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...how many days can 13 men and 7 boyi^ working together, do a piece of work twice as great ? (10.) 7. On the same base and on the same side of it, there cannot bo two triangles, which have their sides, which are terminated in one extremity of the base, equal... | |
 | University of Sydney - 1898 - 548 σελίδες
...its sixth term 19, and its last term 61. GEOMETRY AND MENSURATION. TWO HOTOS ANH A HALF. PASS. 1 . On the same base, and on the same side of it, there cannot be two triangles, etc. Prove a Theorem of the First Book, the enunciation of which commences thus. 2. Shew how to bisect... | |
 | Seymour Eaton - 1899 - 362 σελίδες
...must coincide with ED and DF; for, if not, they would have a different situation, as EG, GF. Then, on the same base and on the same side of it there would be two triangles having their conterminous sides equal. But this is impossible (Proposi293 tion... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 σελίδες
...same side of it : employ i. 5 to prove that the angle ABD = the angle ACD. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there...the base equal to one another, and likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base... | |
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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. 
