| 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... | |
| James Joseph Sylvester, James Whitbread Lee Glaisher - 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,... | |
| Euclides - 1863
...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 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.... | |
| University of Oxford - 1863
...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 which are terminated** at the other extremity equal to one another. 4. The angles which one straight line makes with another... | |
| Euclides - 1864
...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. (l. 7.) Therefore, if the... | |
| Euclides - 1864
...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. (l. 7.) . Therefore, if... | |
| Queensland. Department of Public Instruction - 1866
...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...those which are terminated in the other extremity.** Construct the figure for the third case, and shew why it " needs no demonstration." 3. Prove that any... | |
| John Robertson (LL.D., of Upton Park sch.) - 1865
...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...those which are terminated in the other extremity.** [EMC] 35. Trisect a right angle. [EMC] 36. Draw a right line perpendicular to a given right line of... | |
| Euclides - 1865
...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 which are terminated in the other extremity ; but this is impossible, (i. 7.) Therefore,... | |
| Euclides - 1865
...same base and on the same side of it there can be two triangles, EDF and 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 (10, Cor.) impossible; therefore if the... | |
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