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" FG; then, 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 terminated in the other extremity: But this... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 17
por Euclid - 1810 - 518 páginas
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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, Volumen5

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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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

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....
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Responsions

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

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

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

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

John Robertson (LL.D., of Upton Park sch.) - 1865 - 144 páginas
...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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,...
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Elements of plane geometry, book i, containing nearly the same propositions ...

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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