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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 Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Página 13
por Euclides - 1860
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 páginas
...demonstration. Therefore, upon the same "base, and on the same sides 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. QED PROP. VIII. THEOR. If two triangles have two...
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Papers for the Schoolmaster, Volumen2

1852 - 316 páginas
...DIVISION I. SECTION I. 1. 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, equal to one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 páginas
...demonstration. Therefore, 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. QED [Observe it is possible that CA may be equal...
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Five Years in an English University, Volumen2

Charles Astor Bristed - 1852 - 470 páginas
...the lastj paper.) 1. 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 each other, and likewise those which are terminated in the other. 2. If the sides of a triangle be...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 páginas
...PROPOSITION VII. — THEOREM. Upon the same lose, and on the same aide of it, tliere 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 otter extremity. IF it be possible, let there be two triangles a...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...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 likewise those which are terminated in the other extremity. If it be possible, let there be two triangles ACB,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...PROPOSITION 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 those which are terminated in the other extremity. If it be possible, let there be two triangles ACB,...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 páginas
...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...terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the base BC coincides with the base EF, the sides BA, AC cannot but coincide...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...upon the same base EF, and upon the same side of it, there can be two triangles having their sides terminated in one extremity of the base equal to one another, and iïkewise those terminated in the other extremity. But this is (I. 7) impossible. Wherefore, if the...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 páginas
...EUCLID.— (First Section.) 1. 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. 2. If from the ends of a side of a triangle there...
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