 | Euclides - 1864 - 262 pages
...two angles, &c. QED CoR. Hence an equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot be twn triangles that have their sides which are terminated in one extremity of the base, equal to one... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...Mathematics. 33. Define (i.) a line, (ii.) circle, (iii.) ihombus, (iv.) trapezoid, (v.) rectangle. [EMC] 34. 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 - 1865 - 402 pages
...equal to the greater, which is absurd. Therefore AB u not unequal to AC, that IB AB is equal to AC. Wherefore, if two angles, &c. QED Cor. 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... | |
 | Robert Potts - 1865 - 528 pages
...two angles, &c. QED Con. Hence an equiangular triangle is also equilateral. PROPOSITION 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... | |
 | Euclides - 1865 - 80 pages
...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... | |
 | 1867 - 224 pages
...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...triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...equal to the triangle ACB, [I. 4. the less to the greater ; which is absurd. [Axiom 9. Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, if two angles &c. QED Corollary. Hence every equiangular triangle is also equilateral. PROPOSITION 7. THEOREM. On the same... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...equal to the triangle ACB, [I. 4. the less to the greater ; which is absurd. [Axiom 9. Therefore AB is not unequal to AC, that is, it is equal to it. Wherefore, if two angles &c. QED Corollary. Hence every equiangular triangle is also equilateral. PROPOSITION 7. THEOREM. On the same... | |
 | Willis's Current notes - Education - 1867 - 790 pages
...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... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...equal to AC, and EB + ED is equal to DB, therefore AC + DB is greater than AB + DC. PROPOSITION 4. Upon the same base and on the same side of it there cannot be two triangles having the two sides terminated in one extremity of the base equal to each other, and at the same time the... | |
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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... 
