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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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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, Volum 27

1828
...produced, will meet.' The other is from Simson's Euclid, prop. 7, b. 1. '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.' Now we presume there can be no doubt, which of these...
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The North American Review, Volum 27

1828
...produced, will meet.' The other is from Simson's Euclid, prop. 7, b. 1 . ' 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.' Now we presume there can be no doubt, which of these...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...triangle is upon a side of the other, needs no demonstration. Therefore, upon the same base, and on the same side of it, there cannot be two triangles...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 - 513 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 imposa 7. 1. sible " ; therefore, if the...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 sider
...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 sides...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...which subtend, or are opposite to them, are also equal to one another. VII. 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, equal to one another. VIII. If two triangles have two...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 sider
...same base EF, and upon the same side of it, there can be two triangles EDF, EGF, that have thensides 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 a ; there- a 7. 1. fore, if...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 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 (I. 7) ; therefore, if the base...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...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 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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