 | Euclides - 1852 - 152 σελίδες
...the angle BCA. The sides BA and CA being produced till they meet will be equal.] PROP. VII. THEOR. Upon the same base, and on the same side of it, there...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...in 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...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in, the other extremity, QED PROPOSITION Vin.... | |
 | 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...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... | |
 | Euclid, John Playfair - 1853 - 336 σελίδες
...in 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...that have their sides which are terminated in one extrem ity of the base equal to one another, and likewise those which are termina ted in the other... | |
 | Euclides - 1853 - 176 σελίδες
...also equilateral. 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... | |
 | Euclides - 1853 - 334 σελίδες
...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... | |
 | John Playfair - 1855 - 334 σελίδες
...is, it is equal to it. Coa. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides whieh are terminated in one extremity of the base equal to one another, and likewise those which are... | |
 | Euclides - 1855 - 270 σελίδες
...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... | |
 | W F. Richards - 1856 - 198 σελίδες
...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,...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...C. 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,...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. 2. Draw a straight line... | |
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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. 
