 | Charles Astor Bristed - 1852 - 470 pages
...May, 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 - Geometry - 1853 - 176 pages
...triangle (i. 4) a С b, the less to the greater ; which is absurd. Therefore ab is not unequal to aС, that is, it is equal to it. Wherefore, if two angles,...Hence every equiangular triangle is also equilateral. PROPOSITION VII. — THEOREM. Upon the same lose, and on the same aide of it, tliere cannot be two... | |
 | Euclides - 1853 - 146 pages
...triangle DBC is equal to the triangle ACB, the less to the greater ; which is absurd. Therefore 3. AB is not unequal to AC; that is, it is equal to it. Wherefore, if two angles, &c. QED COB. — Hence every equiangular triangle is also equilateral. PROP. VII. THEOREM. Upon the same base,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...triangle DBC is equal to the triangle (4. i.) ACB, the less to the greater ; which is absurd. Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, if two angles, etc. QED COR. Hence every equiangular triangle is also equilateral. i PROPOSITION VII. THEOR. Upon... | |
 | Euclides - Geometry - 1853 - 334 pages
...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... | |
 | Euclides - 1855 - 270 pages
...readier 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... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...i/iis 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...EUCLID (A.) DEFINE a plane rectilineal angle, an acute-angled triangle, a circle, parallel lines. 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 likewise... | |
 | 1856 - 376 pages
...marks will be given for papers in which this direction is not observed. 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 another, and likewise... | |
 | War office - 1858 - 578 pages
...between the train and the express engine at first, and the rate at which the latter travelled. Euclid. 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 likewise... | |
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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... 
