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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 plane geometry, practically applied; book i, with explanatory notes ... - Side 22
av Euclides - 1863
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...FG ; then, 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 * Or, if the three aides of one triangle be equal to the three sides of another,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 sider
...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...the base equal to one another, and likewise those which are terminated in the other extremity. * If it be possible, let there be two triangles ACB, ADB,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...different situation as EG, 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...extremity of the base equal to one another, and likewise their sides terminated in the other extremity. But this is* impossible; *7' a- therefore, if the base...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1853
...combined with high practical ability, will suffice for the highest class of certificates. Section 1. 1. Upon the same base and upon the same side of it there...the base, equal to one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite to the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...different situation as EG, 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...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, Volum 2

Chambers W. and R., ltd - 1842
...which logicians call • dilemma. It is stated in the proposition that, upon the same base, and ou the same side of it, there cannot be two triangles...the base equal to one another, and likewise those which are terminated in the otlu-r extremity equal to one another. This is proved by examining separately...
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Chambers's Information for the People, Volum 2

William Chambers, Robert Chambers - 1842
...It is stated in the proposition that, upon the am« 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...FG ; then, upon the 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
...EG, FG, then, 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 317 sider
...then, upon the 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 base...
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