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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 ... - Side 15
av Euclid - 1810 - 518 sider
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Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J. Butler Williams - 1846 - 330 sider
...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...those which are terminated in the other extremity, equal to one another." Comprehensive Triangles. The surface to be measured is therefore divided into...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 sider
...same base EF, and upon the same side of it, there can he two triangles EDF, 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 impossible (7. 1.) ; therefore, if the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 terminated in the other extremity. If it be possible, let there be two triangles ACB, ADB,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...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. PART. ENUN. — Let the two AS ACB, ADB be upon the same base AB, and the same side of it, and let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 317 sider
...cannot be two triangles, that have their sides which are terminated in one extremity of the base equai to one another, and likewise those which are terminated in the other extremity, equal to one another. Let there be two triangles ACB, ADB, upon the same base AB, and upon the same...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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. PROP. VIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...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 is impossible (i. 7.) ; therefore, if the base...
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Papers for the Schoolmaster, Volum 2

1852
...Upon the same base and upon the same side of it there canuot be two triangles that have their sides which are terminated in one extremity of the base,...one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite the greater angle. 3. To...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 718 sider
...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...those which are terminated in the other extremity, equal to one another." • The surface to be measured is therefore to be divided into a series of imaginary...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...same base EF, and upon the same side of it, BOOK I. 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: • vii. i. But this is impossible"; therefore, if the...
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