 | Euclid, Thomas Tate - 1849 - 120 pages
...demonstration. Therefore, upon the same "base, and on the same sides 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. QED PROP. VIII. THEOR. If two triangles have two... | |
 | 1852 - 316 pages
...DIVISION I. SECTION I. 1. Upon the same base and 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... | |
 | Euclides - 1852 - 152 pages
...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 those which are terminated in the other extremity. QED [Observe it is possible that CA may be equal... | |
 | Charles Astor Bristed - 1852 - 470 pages
...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 those which are terminated in the other. 2. If the sides of a triangle be... | |
 | Euclides - Geometry - 1853 - 176 pages
...PROPOSITION VII. — THEOREM. Upon the same lose, and 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... | |
 | Euclides - 1853 - 146 pages
...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 those which are terminated in the other extremity. If it be possible, let there be two triangles ACB,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 those which are terminated in the other extremity. If it be possible, let there be two triangles ACB,... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...FG ; then, upon the same base EF, and upon the same side of it, there can be two triangles EDF,EGF, that have their sides which are terminated in one...terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the base BC coincides with the base EF, the sides BA, AC cannot but coincide... | |
 | Euclides - 1855 - 270 pages
...upon the same base EF, and upon the same side of it, there can be two triangles having their sides terminated in one extremity of the base equal to one another, and iïkewise those terminated in the other extremity. But this is (I. 7) impossible. Wherefore, if the... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...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 likewise those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there... | |
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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. 
