| Royal college of surgeons of England - 1860
...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 terminated in the other extremity — (first case only). 3. If one side of a triangle be... | |
| War office - 1861 - 12 sider
...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...the base equal to one another, and likewise those** which are terminated in the other extremity. 2. To describe a parallelogram equal to a given rectilineal... | |
| Euclides - 1862
...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...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.... | |
| Euclides - 1862
...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 impossible. (1.7.)' 8. Therefore... | |
| 1862
...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,... | |
| University of Oxford - 1863
...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...the base, equal to one another, and likewise those** which are terminated in the other extremity. 8. If a straight line be bisected and produced to any... | |
| Euclides - 1864
...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...the base, equal to one another, and likewise those** which are terminated in the other extremity. If it be possible, on the same base AB, and upon the same... | |
| Euclides - 1864
...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... | |
| Queensland. Department of Public Instruction - 1866
...Under what circumstances may two lines never meet when produced and yet not be parallel ? 2. Prove that **upon the same base, and upon the same side of it,...the base equal to one another, and likewise those** which are terminated in the other extremity. Construct the figure for the third case, and shew why... | |
| John Robertson (LL.D., of Upton Park sch.) - 1865 - 144 sider
...(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...the base equal to one another, and likewise those** which are terminated in the other extremity. [EMC] 35. Trisect a right angle. [EMC] 36. Draw a right... | |
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