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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

John Playfair - 1855 - 317 σελίδες
...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...sides which are terminated in one extremity of the bast equal to one another, and likewise those which are terminated in the other extremity, equal to...

Willis's Current notes

Willis's Current notes - 1867
...number of mangoes his basket contained ? Geometry. 1. Of the VII Proposition, the enunciation is : — " Upon the same base and on the same side of it, there cannot be two triangles, &c." What is the use of saying on tht same side ? Demonstrate the above Proposition. Babu Blioodeb...

Examination papers collected by A. Clark as a student and as an examiner

1867
...magnitudes said to coincide? What name is given to a triangle which has three unequal sides ? 2. 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...&c. QED Corollary. Hence every equiangular triangle 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...&c. QED Corollary. Hence every equiangular triangle 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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same aide of it, there cannot be two triangles that have their...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, on...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...PROP. 7. — THEOR. Upon the same base and upon the same side of it there cannot be two triangles t/iat have their sides, which are terminated in one extremity of the base, equal to one another, and likewise those equal which are terminated in the other extremity. CONS. — Pst. 1....

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...may be shewn that AB is not less than AC ; .: AB=AC. QED NOTE XIII. Euclid-s Prop. VII. of Book I. Upon the same base and on the same side of it, there...their sides which are terminated in one extremity qf the base equal to one another, and their sides which are terminated in the other extremity of the...

The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 σελίδες
...equal to AC, and EB + ED is equal to DB, therefore AC + DB is greater than AB + DC. PROPOSITION 4. Upon the same base and on the same side of it there cannot be two triangles having the two sides terminated in one extremity of the base equal to each other, and at the same time...

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872
...&c.) Cor. It follows from this that all the sides of an equi-angular A are equal. PROPOSITION VII. Upon the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated in the one extremity of the base equal to one another, and...




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