 | 1852 - 316 Seiten
...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... | |
 | Euclides - 1852 - 152 Seiten
...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... | |
 | Charles Astor Bristed - 1852 - 470 Seiten
...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... | |
 | Euclides - 1853 - 334 Seiten
...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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... | |
 | Euclides - 1853 - 146 Seiten
...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... | |
 | Euclides - 1853 - 176 Seiten
...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,... | |
 | Euclides - 1855 - 270 Seiten
...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... | |
 | Great Britain. Committee on Education - 1855 - 976 Seiten
...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... | |
 | W F. Richards - 1856 - 198 Seiten
...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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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. 
