 | Lewis Sergeant - 1873 - 182 σελίδες
...Hence it follows that an equiangular triangle is also equilateral. Proposition 13. — Theorem. On the same base, and on the same side of it, there cannot be two triangles having tlie sides terminated by one extremity of the base equal, and also the sides terminated by the... | |
 | Euclides - 1874 - 342 σελίδες
...as EG, GF: Then, upon the same base, and upon the same side of it, there can be two triangles which have their sides which are terminated in one extremity...the base, equal to one another, and likewise those sides which are terminated in the other extremity ; but this is impossible (I. 7). Therefore If the... | |
 | Henry Evers - 1874 - 216 σελίδες
...geometric figure that cannot alter its form without altering the length of its sides. It is Euclid I., 7. " Upon the same base, and on the same side of it, there cannot be two triangles which have their two sides terminated in one extremity on the base equal, and likewise those terminated... | |
 | Euclides - 1874 - 120 σελίδες
...aho bisects the angle A and OA, BO and CO are all equal to one another. PROPOSITION 7. THEOREM. 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... | |
 | Edward Atkins - 1874 - 424 σελίδες
...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 another, and likewise their sides, which are terminated in the other extremity. But this is impossible (I. 7). . BA, AC Therefore,... | |
 | Euclides, James Hamblin Smith - 1876 - 382 σελίδες
...AB-AC. QED NOTE 13. Euclid's Proof of I. 7. Upon (he same base and on Hie so/me tide of it, tJie.rc cannot be two triangles that have their sides which...one extremity of the base equal to one another, and their sides which are terminated in the other extremity of the base equal also. If it be possible,... | |
 | Richard Wormell - 1876 - 268 σελίδες
...line. .. 28 3. From the greater of two given straight lines to cut off a part equal to the less. 28 7. 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 one another, and likewise those which are terminated... | |
 | Robert Potts - 1876 - 446 σελίδες
...as EG, GF: then, upon the same base, and upon the same side of it, there can be two triangles which have their sides which are terminated in one extremity...the base, equal to one another, and likewise those sides which are terminated in the other extremity; but this is impossible. (1. 7.) Therefore, if the... | |
 | Henry Major - 1876 - 784 σελίδες
...for Candidates. Write full notes of a lesson on A Manufacturing Town. 1. Upon the same base and upon the same side of it there cannot be two triangles that have their sides which arc terminated in one extremity of the base equal to one another, and likewise those which are terminated... | |
 | Edward Atkins - 1876 - 130 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... | |
| |
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. 
