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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 Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Side 13
av Euclides - 1860
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...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. —...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 sider
...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....
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The Quarterly Journal of Pure and Applied Mathematics, Volum 5

1862 - 428 sider
...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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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 sider
...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....
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Responsions

University of Oxford - 1863 - 316 sider
...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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...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,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...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...
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 sider
...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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866 - 336 sider
...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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