 | Richard Wormell - 1876 - 268 pages
...line. .. 28 3. From the greater of two given straight lines to cut off a part equal to the less. 28 7. Upon the same base and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to one another, and likewise those which are terminated... | |
 | Henry Major - 1876 - 784 pages
...for Candidates. Write full notes of a lesson on A Manufacturing Town. 1. Upon the same base and upon the same side of it there cannot be two triangles that have their sides which arc terminated in one extremity of the base equal to one another, and likewise those which are terminated... | |
 | Edward Atkins - 1876 - 130 pages
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, 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 - 1877 - 58 pages
...seventh ; the student is therefore advised to omit this proposition on his first reading of Euclid.] Upon the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise... | |
 | Edward Atkins - 1877 - 72 pages
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, 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... | |
 | Moffatt and Paige - 1879 - 428 pages
...therefore the angle BDC is both equal to and greater than the angle BCD; which is impossible. (iii.) The case in which the vertex of one triangle is upon...Therefore, upon the same base and on the same side of it, etc. QED Proposition VIII. Theorem. If two triangles have two sides of the one equal to two sides of... | |
 | Euclides - 1879 - 146 pages
...that the bisecting lines form with the base another isosceles triangle. PROPOSITION VII. THEOREM. On the same base, and on the same side of it, there cannot...triangles that have their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other... | |
 | Edward Harri Mathews - 1879 - 94 pages
...line. t Draw the figure for the case where the given point is in the straight line produced. 3. On the same base, and on the same side of it, there cannot be two triangles which have their sides, which are terminated in one extremity of the base, equal to one another, and... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...straight line BC from its middle point D, prove, if BA and CA be joined, that BA = CA. PROP. VII. THEOREM. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to each other, and likewise, those which are terminated... | |
 | T S. Taylor - 1880 - 152 pages
...THEOREM (Euclid I. 7). Assumed here as an axiom and explained. Proved on page 96. General Enunciation. On 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, and likewise those terminated in... | |
| |
Therefore, 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 extretnity equal... 
