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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. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 22
av Euclides - 1863
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The examination papers as set for the preliminary literary examination of ...

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...
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Examination papers used at the examinations for direct commissions [&c.].

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...
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The school Euclid: comprising the first four books, by A.K. Isbister

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....
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Euclid's Elements of geometry, books i. ii. iii. iv

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...
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The Quarterly Journal of Pure and Applied Mathematics, Volum 5

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,...
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Responsions

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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

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...
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Report of the Secretary for Public Instruction ...

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...
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Half-hour examination papers, for daily use

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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