 | Euclides - 1862 - 140 pages
...PROPOSITION 7.— 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 likewise those which are terminated in the other extremity. (References — Prop. I. 5; ax. 9. Hypothesis. —... | |
 | Euclides - 1862 - 172 pages
...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 those which are terminated in the other extremity. (References — Prop. i.... | |
 | Mathematics - 1862 - 428 pages
...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 - 74 pages
...altitude. PROP. 7. — THEOR. 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.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 likewise those which are terminated in the other extremity. 8. If a straight line be bisected and produced to... | |
 | Euclides - 1864 - 448 pages
...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 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,... | |
 | Euclides - 1864 - 262 pages
...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 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,... | |
 | Robert Potts - 1865 - 528 pages
...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 likewise those which are terminated in the other extremity. If it be possible, on the same base AB, and upon... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...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 those which are terminated in the other extremity. [EMC] 35. Trisect a right angle. [EMC] 36. Draw... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...parallel ? 2. Prove that 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 which are terminated in the other extremity. Construct the figure for the third case, and shew... | |
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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. 
