| Euclides - 1861 - 464 σελίδες
...to two 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 σελίδες
...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... | |
| University of Oxford - 1863 - 316 σελίδες
...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 - 1864 - 448 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
| Euclides - 1865 - 402 σελίδες
...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 lihewise... | |
| Robert Potts - 1865 - 528 σελίδες
...angles, &c. QED Con. 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 extremity of the base, equal to one another, and... | |
| 1867 - 224 σελίδες
...two magnitudes said to coincide? What name is given to a triangle which has three unequal sides ? 2. 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 those... | |
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