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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.
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 94
των T S. Taylor - 1880
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## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 σελίδες
...them are also equal. COR.—Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. On the same base, and on the same side of it, there cannot be two triangles having their conterminous sides at both extremities of the base, equal to each other. PROP. VIII. THEOR. If two...

## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

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...— Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. On the same base (AB), and on the same side of it, there cannot be two triangles having their conterminous sides (AC and AD, BC and BD) at both extremities of the base, equal to each other. When...

## Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1853 - 1218 σελίδες
...upon 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 at the other extremity. 2. The greater side of every triangle is opposite to the...

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

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...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 cannot be two triangles thai have their sides which are terminated in one extremity of the base equal to one another, and likewise...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

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...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 cannot...triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other...

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

John Playfair - 1842 - 332 σελίδες
...which the vertex of one 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 that have their sides which are terminated in one extremity of the base equal to one another, and likewise...

## Chambers's information for the people, ed. by W. and R. Chambers, Τόμος 2

Chambers W. and R., ltd - 1842 - 744 σελίδες
...ou 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 otlu-r extremity equal to one another. This is proved by examining separately...

## Report to the Trustees of the Dick Bequest for the Benefit of the ..., Τόμος 2

1844
...another, of which the solidity is three times that of the former ; 1841. GEOMETRY. 1 . Prove that upon the same base, and on the same side of it, there cannot be two triangles which have the sides terminated in one extremity of the base equal to one another, and likewise those...

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 σελίδες
...triangles, &c. QED COB. Hence every equiangular triangle is also equilateral. PROPOSITION VII. 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...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

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...proposition, that if the supposition were true, the triangle DBC would be 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...