| John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 pągines
...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... | |
| Robert Potts - 1865 - 528 pągines
...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 - 402 pągines
...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 sides which are terminated in one extremity of the. base equal to each other, and lihewise... | |
| Euclides - 1865 - 80 pągines
...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... | |
| Euclid, Isaac Todhunter - 1867 - 424 pągines
...&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...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... | |
| Euclid, Isaac Todhunter - 1867 - 426 pągines
...&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...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... | |
| 1867 - 224 pągines
...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... | |
| Willis's Current notes - 1867 - 790 pągines
...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 - 1871 - 320 pągines
...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... | |
| Euclides - 1871 - 136 pągines
...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 cannot be two triangles that have their sides which are terminated in one extremity qf the base equal to one another, and their... | |
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