 | Robert Potts - 1865 - 528 σελίδες
...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 σελίδες
...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... | |
 | Queensland. Department of Public Instruction - 1866 - 332 σελίδες
...upon 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. Construct the figure for the third case, and shew why... | |
 | 1867 - 224 σελίδες
...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...the base equal to one another, and likewise those which are terminated at the other extremity equal to one another. 3. If a straight line be divided... | |
 | Willis's Current notes - 1867 - 790 σελίδες
...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 - 1867 - 424 σελίδες
...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 - 1867 - 426 σελίδες
...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...on the same aide 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. If it be possible, on the same base AB, and upon the same... | |
 | Euclides - 1871 - 136 σελίδες
...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 - 1871 - 320 σελίδες
...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... | |
| |
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. 
