 | Euclides - 1862 - 172 pages
...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...are terminated in one extremity of the base equal to each other, and likewise those which are terminated in the other extremity. (References — Prop. i.... | |
 | Mathematics - 1862 - 428 pages
...the arc PQ, and upon the same side of it, there would be two spherical triangles having their sides terminated in one extremity of the base equal to one another and also those terminated in the other extremity. But if the elements LM, MN be in the same straight line,... | |
 | Euclides - 1862 - 140 pages
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, 7. Then upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in one extremity of the base equal to one... | |
 | Euclides - 1863 - 74 pages
...making an observation with a quadrant of altitude. PROP. 7. — THEOR. Upon the same base and upon the same side of it there cannot be two triangles...the base equal to one another, and likewise those equal which are terminated in the other extremity. CON.— Pst. 1, Pst. 2.— DEM —P. 6, Ax. 9. E.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...diagonal. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. 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... | |
 | Euclides - 1864 - 448 pages
...two angles, &c. QED COB. Hence an equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there...that have their sides which are terminated in one extremitg of the base, equal to one another, and likewise those which are terminated in the other extremitg.... | |
 | 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...those which are terminated in the other extremity. [EMC] 35. Trisect a right angle. [EMC] 36. Draw a right line perpendicular to a given right line of... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...lines never meet when produced and yet not be parallel ? 2. Prove that upon the same base, and upon the same side of it, there cannot be two triangles...those which are terminated in the other extremity. Construct the figure for the third case, and shew why it " needs no demonstration." 3. Prove that any... | |
 | Robert Potts - 1865 - 528 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 the... | |
| |
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... 
