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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. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Σελίδα 11
των Euclides - 1849
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...their fides which are termiuated in one extremity of the bafe equal to one another, and likewife thofe which are terminated in the other extremity. QED PROP. VIII. THEOR, IF two triangles have two fides of the one equal to two fides of the other, each to each, and have likewife their bales equal;...

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

Euclid, Robert Simson - 1806 - 518 σελίδες
...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...

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

John Playfair - 1806 - 311 σελίδες
...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...those which are terminated in the other extremity. .. If it be possible, let there be two triangles ACB, ADB, upon the same base AB, and upon the same...

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

John Mason Good - 1813
...equal angles, shall be equal to one another. Prop. VII. Theor. Upon the same base, and on the same side of it, there cannot be two triangles that have their...those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each...

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

Euclides - 1814
...equiangular triangle is also equilateral. PROP. VII. THEOR. UP0N the same base, and on the same side of 5 it, there cannot be two triangles that have their...those which are terminated in the other extremity. If it be possible, let there be two triangles ACB, ADB, upon the same base AB, and upon the same side...

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

Euclides - 1816 - 528 σελίδες
...• ent 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*; • 71 1. therefore, if the...

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

John Playfair - 1819 - 333 σελίδες
...equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and on the same side of it, there cannot be two triangles, that have their...those which are terminated in the other extremity, equal to one another. Let there be two triangles ACB, ADB, upon the same base AB, and upon the same...

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

John Playfair - 1819 - 317 σελίδες
...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...

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

Euclid, Robert Simson - 1821 - 516 σελίδες
...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 that have; their...one another, and likewise those which are terminated in'the other extremity: QED PROP. VIII. THEOR. IF two triangles have two sides of the one equal to...




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