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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, equal to one another.
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Σελίδα 8
των Stewart W. and co - 1884
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## An Introduction to General Logic

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...a complete analysis of the logical procedure adopted by Euclid in demonstrating the proposition : ' Upon the same base, and on the same side of it, there...those which are terminated in the other extremity.' (C.) 178. Show the precise value and character of historical evidence. (C.) 179. Show the precise character...

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

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...QED COROLLARY. Hence if a triangle is equiangular it is also equilateral. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise...

## The First Book of Euclid's Elements: Arranged for Beginners

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...intersect in H ; EC, GB intersect in K; prove that HK produced passes through A. LE Proposition 7. 58. If, upon the same base and on the same side of it, there are two triangles which have the two sides terminated in one extremity of the base, equal to each other,...

## Annual Report

1894 - 1136 σελίδες
...the following :— Upon the same base and the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base equal to each other. Where do we first meet the expression, " much greater therefore is the angle, etc.," and...

## Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...many days can 13 men and 7 boyi^ working together, do a piece of work twice as great ? (10.) 7. On the same base and on the same side of it, there cannot bo two triangles, which have their sides, which are terminated in one extremity of the base, equal...

## Calendar of the University of Sydney

University of Sydney - 1898 - 548 σελίδες
...its sixth term 19, and its last term 61. GEOMETRY AND MENSURATION. TWO HOTOS ANH A HALF. PASS. 1 . On the same base, and on the same side of it, there cannot be two triangles, etc. Prove a Theorem of the First Book, the enunciation of which commences thus. 2. Shew how to bisect...

## A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Βιβλίο 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 σελίδες
...same side of it : employ i. 5 to prove that the angle ABD = the angle ACD. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise...

## The Romance of the Heavens

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...traverse. How are these distances measured ? By a property of the triangle. Upon the same base, and upon the same side of it, there cannot be two triangles...those which are terminated in the other extremity, equal to one another (Euclid, Book 1, proposition vii.) — by which the old Greek means if the sides...

## The Rekhâgaṇita; or, Geometry in Sanskrit, Τόμος 1

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...respectively. In this Prop, what is stated with regard to triangles is applicable to parallelograms also. If upon the same base and on the same side of it, there be two equal parallelograms, then they shall be between the same parallels. Upon the same base AB and...

## Report of the Committee of Council on Education in Scotland...[without Appendix]

1901 - 808 σελίδες
...Additional marks will be given for neatness, good style, and accurately drawn figures. 1. On the saine buse and on the same side of it, there cannot be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise...