 | Euclides - 1864 - Liczba stron: 262
...wherefore the angle BDC is both equal to, and greater than the angle BCD ; which is impossible. Thirdly. The case in which the vertex of one triangle is upon...Therefore, upon the same base and on the same side of it, &c. QED PROPOSITION VIII. THEOREM. If two triangles have two sides of the one equal to two sides of... | |
 | Euclides - 1864 - Liczba stron: 448
...wherefore the angle BDC\s both equal to, and greater than the angle BCD ; which is impossible. Thirdly. The case in which the vertex of one triangle is upon...Therefore, upon the same base and on the same side of it, &c. QED PROPOSITION VIII. THEOREM. If two trirmgles have two sides of the one equal to two sides of... | |
 | Robert Potts - 1865 - Liczba stron: 528
...wherefore the angle BDC is both equal to, and greater than the angled CD; which is impossible. Thirdly. The case in which the vertex of one triangle is upon...Therefore, upon the same base and on the same side of it, &c. QED PROPOSITION Vm. THEOREM. lf two triangles have two sides of the one equal to two sides of the... | |
 | Euclides - 1865 - Liczba stron: 402
...needs no demonstration, for it is evident from inspection that the side AC is greater than its part AD. Therefore upon the same base and on the same side of it, &c. QED PROP. VIII.— THEOREM. If two triangles have two sides of the one equal to two sides of the... | |
 | Euclides - 1865 - Liczba stron: 80
...BA B c and AC shall coincide with DE and EF ; for if BA and AC do not coincide with ED and DF, then upon the same base and on the same side of it there can be two triangles, EDF and EGF, that have their sides which are terminated in one extremity of the... | |
 | John Playfair - 1855 - Liczba stron: 350
...be greater than the same BCD ; which is impossible. The case in which the vertex of one triangle im upon a side of the other, needs no demonstration....that have their sides which are terminated in one extrem ity of the base equal to one another, and likewise those which are tormina ted in the other... | |
 | Willis's Current notes - 1867 - Liczba stron: 790
...number of mangoes his basket contained ? Geometry. 1. Of the VII Proposition, the enunciation is : — " Upon the same base and on the same side of it, there cannot be two triangles, &c." What is the use of saying on tht same side ? Demonstrate the above Proposition. Babu Blioodeb... | |
 | 1867 - Liczba stron: 224
...magnitudes said to coincide? What name is given to a triangle which has three unequal sides ? 2. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
 | Euclid, Isaac Todhunter - 1867 - Liczba stron: 426
...&c. QED Corollary. Hence every equiangular triangle is also equilateral. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
 | Euclid, Isaac Todhunter - 1867 - Liczba stron: 424
...&c. QED Corollary. Hence every equiangular triangle is also equilateral. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
| |
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 extretnity equal... 
