 | Popular educator - 1860 - 536 Seiten
...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,... | |
 | Euclides - 1861 - 464 Seiten
...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 Seiten
...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 cannot be two triangles that have their sides which are terminated in one extremity of the base equal to each other, and likewise... | |
 | Euclides - 1862 - 140 Seiten
...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. (References — Prop. I. 5; ax. 9. Hypothesis. — 1.... | |
 | University of Oxford - 1863 - 316 Seiten
...equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 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... | |
 | Euclides - 1863 - 74 Seiten
...upon 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 equal which are terminated in the other extremity. CON.— Pst. 1, Pst. 2.— DEM —P. 6, Ax. 9. E.... | |
 | Euclides - 1864 - 448 Seiten
...angles, &c. QED COB. Hence an equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. 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 extremitg of the base, equal to one another, and... | |
 | Euclides - 1864 - 262 Seiten
...angles, &c. QED CoR. Hence an equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot be twn triangles that have their sides which are terminated in one extremity of the base, equal to one... | |
 | Euclides - 1865 - 80 Seiten
...other side of DE, having its sides respectively equal to the same three given straight lines. Cor. On the same base, and on the same side of it, there cannot be two triangles which have their two sides which are terminated in one extremity of the base equal to one another,... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 Seiten
...33. Define (i.) a line, (ii.) circle, (iii.) ihombus, (iv.) trapezoid, (v.) rectangle. [EMC] 34. 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... | |
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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. 
