 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...&c. QED Corollary. Hence every equiangular triangle is also equilateral. 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... | |
 | Education Ministry of - 1880 - 238 pages
...be used in the diagrams. Not more than ten questions to bo answered. 1. On the same straight line, and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal to one another, and likewise those... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...Therefore, the angle BDC is both equal to. and greatei than the angle BCD, which is impossible. The third case, in which the vertex of one triangle is upon...Therefore, upon the same base, and on the same side of it, &c QED The third ease nesde no demonstration, because when the vertex or the out trlan;lu it upon a... | |
 | John Gibson - 1881 - 64 pages
...their bases or third sides shall be equal, and the triangles shall be equal in every respect. 5. On the same base and on the same side of it there cannot be two triangles having their two sides terminated in one of the extremities of the base equal to one another and likewise... | |
 | Education - 1882 - 676 pages
...generally understood abbreviations for wonts may be used, but symbols of operation are not admissible.] 1. Upon the same base, and on the same side of it, there...triangles that have their sides which are terminated m one extremity of the base, equal to one another, and likewise those which are terminated in the other... | |
 | College of preceptors - 1882 - 528 pages
...— "WJ REYNOLDS, MA 1. Define a plane surface, a parallelogram, similar segments of circles. 2. On the same base, and on the same side of it, there cannot be two triangles such that they have the sides eqnal that are terminated at one extremity of the base, and also have... | |
 | Marianne Nops - 1882 - 278 pages
...THEOREMS CONCLUDED. THE enunciation of Prop. VII. is negative, which is very unusual. It states that ' on the same base, and on the same side of it, there cannot be two triangles which have their sides which are terminated at one extremity of the base equal and likewise those which... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...line joining the point of section to the vertex, is equal to the square on one of the equal sides. 5. Upon the same base, and on the same side of it, there cannot he two triangles having their sides terminated in one extremity of the base, equal to one another,... | |
 | Education Ministry of - 1882 - 292 pages
...bo used in tho diagrams. Not more than ten questions to be answered. 1. On the same straight line, and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal to one another, and likewise those... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...&c. QBD Corollary. Hence every equiangular triangle is also equilateral. 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... | |
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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... 
