 | Euclid - 1904 - 488 σελίδες
...sides of it : prove (by means of I. 5) that the angle ABD = the angle ACD. PROPOSITION 7. THEOREM. 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... | |
 | 1905 - 614 σελίδες
...all of equal value. Mr. J. Ross, Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. Upon the same base and on the same side of it there...those which are terminated in the other extremity equal to one another. Prove only the case where the vertex of one triangle falls without the other... | |
 | Euclid - 1908 - 550 σελίδες
...straight lines form triangles on the same base is really conveyed in the Greek. Simson's enunciation is, Upon the same base, and on the same side of it, there...the base equal to one another, and likewise those ••i/huh are terminated at the other extremity. Th. Taylor (the translator of Proclus) attacks 'imson's... | |
 | John Cook Wilson - 1926 - 508 σελίδες
...Seventh Proposition of Euclid's Elements, Book I. The truth which it is desired to establish is that '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, and likewise those terminated... | |
 | Great Britain. Parliament. House of Commons - 1863 - 616 σελίδες
...DEFINE scalene triangle, acute angled triangle, rhombus, segment qf a circle, and similar segments. 2. Upon the same base, and on the same side of it, there...those which are terminated in the other extremity. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 620 σελίδες
...right angles, the lines AI, BD, produced, will meet.' The other is from Simson's Euclid, prop. 7, b. 1. 'Upon the same base and on the same side of it, there...those which are terminated in the other extremity.' Now we presume there can be no doubt, which of these two methods is best adapted to the conception... | |
 | Cowley Oxon, dioc. school - 1860 - 318 σελίδες
...Mathematical Lecturer, Oriel College. \. Define superficies, rectangle, axiom, circle, sector of a circle. 2. Upon the same base, and on the same side of it, there...those which are terminated in the other extremity. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior... | |
 | Euclid - 454 σελίδες
...straight lines form triangles on the same base is really conveyed in the Greek. Simson's enunciation is. Upon the same base, and on the same side of it, there...one another, and likewise those which are terminated at the other extremity. Th. Taylor (the translator of Proclus) attacks Simson's alteration as "indiscreet"... | |
 | Euclid - 1920 - 304 σελίδες
...with it.' Simson altered the wording to the following which expresses the same thing more simply: '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 terminated at the other extremity.'... | |
 | British Columbia. Superintendent of Education - 1897 - 710 σελίδες
...other angles shall be equal, each to each, namely, those to which the equal sides are opposite. 4. 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... | |
| |
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, equal to one another. 
