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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. "
Five Years in an English University - Σελίδα 348
των Charles Astor Bristed - 1852
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...is equal to it. COR. Hence every equiangular triangle is also equilateral. PR0B. VII. THEOR. •» Upon the same base, and on the same side of it, there...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....

Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J. Butler Williams - 1846 - 330 σελίδες
...the triangle possesses this property is evident from the theorem, (Euclid, 7, I.) which proves that, "Upon the same base, and on the same side of it, there...triangles that have their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated in the other...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...If two angles %c. QED COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOK. Upon the same base, and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal to one another, and also those...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...subtraction, AB = AC. Wherefore, if, when two sides of a A &c. — Q, ED PROP. VII. THEOR. GEN. ENUN. — Upon the same base, and on the same side of it, there...terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity. PART. ENUN. — Let the...

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

John Playfair - 1847 - 317 σελίδες
...is, it is equal to it. COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and on the same side of it, there...which are terminated in one extremity of the base equai to one another, and likewise those which are terminated in the other extremity, equal to one...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...equal to one another. COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOREM. Upon the same base, and on the same side of it, there...terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity. PROP. VIII. THEOREM. If...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 σελίδες
...if two angles, &c. QED COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and on the same side of it, there...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...

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Sir Henry Edward Landor Thuillier - 1851 - 718 σελίδες
...the triangle possesses this property is evident from the Theorem (Euclid 7. 1.) which proves that " Upon the same base, and on the same side of it, there...triangles that have their sides, which are terminated at one extremity of the base, equal to one another, and likewise those which are terminated in the...

Papers for the Schoolmaster, Τόμος 2

1852
...Taylor. EUCLID. 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...

Papers for the schoolmaster, Τόμοι 1-6

...3i per cents, at 97, and what change in income rould be thus effected ? EUCLID. « SECTION I. '• Upon the same base and on the same side of it, there cannot be two "angles, which have their sides which arc terminated in one extremity of the 'ase cqual to one another,...




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