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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 ... - Page 17
by Euclid - 1810 - 518 pages
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...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,...one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite to the greater angle. 3....
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...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 ; * therefore, if the base BC...
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...upon the same base, and ou the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base...another, and likewise those which are terminated in the otlu-r extremity equal to one another. This is proved by examining separately every possible position...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...same base EF, and upon the same side of it, there can be 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...upon the same base EF, and upon the same side of it, there can be two triangles having 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 base...
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Chambers's Information for the People, Volume 2

William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...upon the amĀ« base, and on the same side of it, there cantol be two triangles that have their sides which are terminated in one extremity of the base equal to one uotber, and likewise those which are terminated in tbeodwrntremiry equal to one another. This is proved...
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Volume 2

Church schools - 1844 - 456 pages
...upon the same base, and on the same side of it, there cannot be two triangles which have the sides terminated in one extremity of the base equal to one...those which are terminated in the other extremity equal. 2. Upon a given straight lino, to describe a segment of a circle which shall contain an angle...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...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. (i. 7.) Therefore, if the...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...upon the same base EF, and upon the same side of it, there would be two triangles having 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 (I. 7) this is impossible: therefore, if the base...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...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 impossiblef; therefore, * 7. i. if the base...
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