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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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Papers for the Schoolmaster, Τόμος 2

1852 - 314 σελίδες
...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 every triangle is opposite the...

The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 152 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...

Five Years in an English University, Τόμος 2

Charles Astor Bristed - 1852 - 470 σελίδες
...1843. four Hours. (To be answered by those only who send in no answers to the lastj paper.) 1. 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 each other, and likewise...

The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...are all equal, that is, the triangle ABC is equilateral (Def. 24). Which was to be proved. PEOP. VII. On 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, and likewise those terminated...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...etc. QED COR. Hence every equiangular triangle is also equilateral. i PROPOSITION 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...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...angles, &c. QED COB. — Hence every equiangular triangle is also equilateral. PROP. 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 likewise...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...on the same aide of it, tliere 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 otter extremity. IF it be possible, let there be two triangles a С b,...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 σελίδες
...mode of bisecting an angle than that contained in Prop. IX. of this book. PB.OP. VII. THEOREM. Upon the same base, and on the same side of it, there cannot be two triangles having their sides terminated in one extremity of the base, equal to one another, and likewise those terminated in the...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 σελίδες
...the same base and upon the same side of it there cannot be two triangles which have their two sides terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other. 2. If two triangles have two sides of the one equal to two sides...

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 198 σελίδες
...direction is not observed. (Three Hours allowed for this Paper.) EUCLID.— (First Section.) 1. 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...




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