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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 ... - Σελίδα 13
των Euclides - 1860
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...PROP. VII. THEOR. UPON the same base, and on the same side of it, See N 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,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...and 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 Book I. another, and likewise their sides terminated in the other \^f>fn^ extremity : but this is impossible*...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...the same base, and on the same side of it, there cannot be two triangles that have their sides see 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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...another. Prop. 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. Prop. VIII. Theor. If two triangles have two sides...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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 in one...sides terminated in the other extremity: But this is impossible3; • 7. i. therefore, if the base BC coincides with the base EF, the sides BA, AC cannot...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...and 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...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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 σελίδες
...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 teminated in the other extremity equal to one another Q,ED PROP. VIlI. THEOR. If two...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 σελίδες
...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 in one...base equal to one another, and likewise their sides ternanated in the other extremity; but this is impossible; (7. 1,) therefore, if the base BC coincides...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...Proposition Vll. 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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