 | Robert Potts - 1860 - 380 sider
...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. (l. 7.) Therefore, if the... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...HEY. G. FBOST, MA 1. Give Euclid's definitions of the different kinds of three sided figures. 2. On the same base, and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal to one another, and also those... | |
 | Popular educator - 1860 - 536 sider
...upon the same base E p, and upon the same side of it, there can be two triangles having their sides terminated in one extremity of the base, equal to one another, and likewise those terminated in the other extremity; but this, by the precedin-* proposition, is impossible. Wherefore,... | |
 | War office - 1861 - 714 sider
...years at . per cent, per annum, simple interest. 10. Extract the square root of 13277-9529. Euclid. 1. Upon 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... | |
 | Euclides - 1861 - 464 sider
...similar segments of a circle, is the same in principle with the 7th of Book I., which says, that, " on the same base and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal, and likewise those terminated... | |
 | Euclides - 1862 - 172 sider
...two angles, &c. QED Cor. Hence every equiangular triangle is also equilateral. PROP. VII.^ THEOREM. Upon the same base and on the same side of it, there...are terminated in one extremity of the base equal to each other, and likewise those which are terminated in the other extremity. (References — Prop. i.... | |
 | 1862 - 428 sider
...the arc PQ, and upon the same side of it, there would be two spherical triangles having their sides terminated in one extremity of the base equal to one another and also those terminated in the other extremity. But if the elements LM, MN be in the same straight line,... | |
 | Euclides - 1862 - 140 sider
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, 7. 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... | |
 | Euclides - 1863 - 74 sider
...making an observation with a quadrant of altitude. PROP. 7. — THEOR. Upon the same base and upon the same side of it there cannot be two triangles...the base equal to one another, and likewise those equal which are terminated in the other extremity. CON.— Pst. 1, Pst. 2.— DEM —P. 6, Ax. 9. E.... | |
 | University of Oxford - 1863 - 316 sider
...diagonal. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
| |
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. 
