 | Euclides - 1865 - 402 pages
...equal angles, are equal to one another. Cor. Every equiangular triangle is also equilateral. Prop. 7. 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... | |
 | 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... | |
 | 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...&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 - Euclid's Elements - 1867 - 424 pages
...&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... | |
 | 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 be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
 | Robert Potts - 1868 - 434 pages
...as EG, GF: then, upon the same base, and upon the same side of it, there can be two triangles which have their sides which are terminated in one extremity...the base, equal to one another, and likewise those sides, which are terminated in the other extremity ; but this is impossible. (I. 7 . ) Therefore, if... | |
 | Euclides - 1870 - 270 pages
...PROP. 7. — THEOR. Upon the same base and upon the same side of it there cannot be two triangles t/iat have their sides, which are terminated in one extremity...the base, equal to one another, and likewise those equal which are terminated in the other extremity. CONS. — Pst. 1. A st. line may be drawn from one... | |
 | Euclides - 1871 - 136 pages
...may be shewn that AB is not less than AC ; .: AB=AC. QED NOTE XIII. Euclid-s Prop. VII. of Book I. Upon the same base and on the same side of it, there...their sides which are terminated in one extremity qf the base equal to one another, and their sides which are terminated in the other extremity of the... | |
 | 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... | |
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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... 
