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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, book i., propositions i. to xxvi., with exercises and alternative ... - Side 18
av Euclides - 1877
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Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J. Butler Williams - 1846 - 368 sider
...the triangle possesses this property is evident from the theorem, (Euclid, 7, I.) which proves that, "Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated at one extremity of the base equal to one another, and likewise...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...If two angles %c. QED COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOK. Upon 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...is equal to it. COR. Hence every equiangular triangle is also equilateral. PR0B. VII. THEOR. •» 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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...subtraction, AB = AC. Wherefore, if, when two sides of a A &c. — Q, ED PROP. VII. THEOR. GEN. ENUN. — 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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...equal to one another. COR. 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 that have their sides which are terminated in one extremity of the base, equal to one another, and...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...if two angles, &c. QED COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. 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...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850 - 790 sider
...rule for determining the surface of a sphere. GEOMETRY. Section 1 . 1. Upon the same base, and upon the same side of it, there cannot be two triangles having their two sides terminated at one extremity of the base equal, and likewise their two sides terminated at...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 826 sider
...the triangle possesses this property is evident from the Theorem (Euclid 7. 1.) which proves that " Upon the same base, and on the same side of it, there cannot be two triangles that have their sides, which are terminated at one extremity of the base, equal to one another, and...
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Papers for the schoolmaster, Volumer 1-6

582 sider
...3i per cents, at 97, and what change in income rould be thus effected ? EUCLID. « SECTION I. '• Upon the same base and on the same side of it, there cannot be two "angles, which have their sides which arc terminated in one extremity of the 'ase cqual to one another,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 sider
...the angle BCA. The sides BA and CA being produced till they meet will be equal.] PROP. VII. THEOR. 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...
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