 | 1856 - 376 pages
...this direction is not observed. EUCLID. (First Section.) 1. Upon the same base, and on the same side of it, there cannot be two triangles that have their...termInated in one extremity of the base, equal to another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...UPON the same base 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 terminated in the other extremity. 2. If a straight line, falling npon two other straight lines, makes... | |
 | British and foreign school society - 1857 - 548 pages
...base and on the same siile of it, there cannot be two triangles, having the two sides terminated m one extremity of the base equal to one another, and likewise those terminated in the other extremity of the base ; when the vertex of one of the triangles falls within... | |
 | Euclides - 1858 - 248 pages
...or BC, will equal BA, the altitude. PROP. 7. — THE OR. Upon the same base and upon the same side of it there cannot be two triangles that have their...the base equal to one another, and likewise those equal which are terminated in the other extremity. CONST. — Pst. 1. A st. line may be drawn from... | |
 | War office - 1858 - 578 pages
...first, and the rate at which the latter travelled. Euclid. 1. Upon the same base and on the same side of it, there cannot be two triangles that have their...the base equal to one another, and likewise those terminated in the other extremity. Prove this for the case in which the vertex of one triangle falls... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...of 63 to 4 decimal places. Obligatory Portion. EUCLID. 1. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated on one extremity of the base, equal to one another, and likewise those which are terminated in the... | |
 | Euclides - 1860 - 288 pages
...then, upon- the same base EF, and upon the -same side of it, there can be two triangles EDF and EGF, that have their sides which are terminated in one...extremity of the base equal to one another, and likewise their sides terminated in the other extremity. But this is impossible (I. 7); therefore if the base... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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. (l. 7.) Therefore, if the... | |
 | Popular educator - 1860 - 536 pages
...upon the same base E p, and upon the same side of it, there can be two triangles having their sides terminated in one extremity of the base, equal to one another, and likewise those terminated in the other extremity; but this, by the precedin-* proposition, is impossible. Wherefore,... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...On the same base, 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 also those terminated in the other extremity — (first case only). 3. If one side of a triangle be... | |
| |
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. 
