 | Royal college of surgeons of England - 1860 - 332 pages
...circle, a rhombus. When are straight lines said to be parallel ? Write down the postu- l/ lates. 2. 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
 | Euclides - 1861 - 464 pages
...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...other extremity equal, not coinciding with one another :" and as the ouly purpose for which 7, I., was employed was to prove 8, I. ; so the purpose" to which... | |
 | War office - 1861 - 714 pages
.... 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 likewise those which are... | |
 | Euclides - 1862 - 140 pages
...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 another, and likewise their sides, which are terminated in the other extremity. But this is... | |
 | Euclides - 1862 - 172 pages
...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 - Education, Higher - 1863 - 316 pages
...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... | |
 | Euclides - 1864 - 448 pages
...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 pages
...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 pages
...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, and likewise those... | |
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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. 
