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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 ... - Page 13
by Euclides - 1860
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...the same base, and on the same side of it, thereeasnot be two triangles that have their sides whieh are terminated in one extremity of the base equal to one another, and likewise those whieh are terminated iu the other extremity equal to one another, QED ~f PROP. VIII. THEOR. If...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...Therefore, upon the same base, and on the same side of it, there cannot be two triangles that have thtir sides, which are terminated in one extremity of the base, equal to another, and likewise those which are terminated in the other extremity. QE J). PROP. VIII. TIIEOR....
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 pages
...Euclid, prop. 7, b. 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.' Now we presume there can be no doubt, which of...
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 pages
...Euclid, prop. 7, b. 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.' Now we presume there can be no doubt, which of...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...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 another, and likewise those which are terminated in the other extremity. 9. ED PROPOSITION VIII. THEOR....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 PROP. VIII. THEOR. If two triangles have two...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...Therefore " upon the same base, and on the same side of it, there cannot be two trianyles that have tfieir 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...to one another. VII. 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, equal to one another. VIII. If two triangles have...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...on the same side of it, there cannot be two triangles, that have their sides which are terminal ed in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another. Let there be two triangles...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...then, upon the same base EF, and upon the same side of it, there can be two triangles EOF, EGF,that have their sides which are terminated in one extremity...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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