 | Great Britain. Committee on Education - 1853 - 1218 σελίδες
...Upon the same base and upon the same side of it there cannot be two triangles that have their sides which are terminated in one extremity of the base,...one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite to the greater angle. 3.... | |
 | Euclides - 1841 - 378 σελίδες
...upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: but this is impossible ; * therefore, if the base BC... | |
 | Chambers W. and R., ltd - 1842 - 744 σελίδες
...upon the same base, and ou the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base...another, and likewise those which are terminated in the otlu-r extremity equal to one another. This is proved by examining separately every possible position... | |
 | John Playfair - 1842 - 332 σελίδες
...same base EF, and upon the same side of it, there can be two triangles EDF.EGF, that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the... | |
 | Euclides - 1842 - 316 σελίδες
...upon the same base EF, and upon the same side of it, there can be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity : But this is impossible (7. 1.); therefore, if the base... | |
 | William Chambers, Robert Chambers - 1842 - 938 σελίδες
...upon the am« base, and on the same side of it, there cantol be two triangles that have their sides which are terminated in one extremity of the base equal to one uotber, and likewise those which are terminated in tbeodwrntremiry equal to one another. This is proved... | |
 | 1844 - 456 σελίδες
...upon the same base, and on the same side of it, there cannot be two triangles which have the sides terminated in one extremity of the base equal to one...those which are terminated in the other extremity equal. 2. Upon a given straight lino, to describe a segment of a circle which shall contain an angle... | |
 | Euclides - 1845 - 546 σελίδες
...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 of 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... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...upon the same base EF, and upon the same side of it, there would be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity; but (I. 7) this is impossible: therefore, if the base... | |
 | Euclid - 1845 - 218 σελίδες
...upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: but this is impossiblef; therefore, * 7. i. if the base... | |
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FG; then, upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this... 
