| Robert Potts - 1865 - 528 pages
...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... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...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
...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... | |
| 1867 - 224 pages
...two 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... | |
| Willis's Current notes - Education - 1867 - 790 pages
...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 - 424 pages
...sides BA, CA do not coincide with the sides ED, FD, but have a diiferent situation as EG, FG ; then on the same base and on the same side of it there will be two triangles having their sides which are terminated at one extremity of the base equal to... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...sides BA, CA do not coincide with the sides ED, FD, but have a different situation as EG, FG ; then on the same base and on the same side of it there will be two triangles having their sides which are terminated at one extremity of the base equal to... | |
| Euclides - 1871 - 136 pages
...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... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...circle in the points C and D. Prove that the triangles ABC and ABD are equi-angular to one another. 2. On the same base and on the same side of it there are two segments of circles, of which ACB is a semicircle and ADB a quadrant. Through P, any point... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 of the base equal to one another, and their... | |
| |