| Cambridge univ, exam. papers - 1856
...rectilineal angle, an acute-angled triangle, a circle, parallel lines. 1. Upon the same base, and on **the same side of it, there cannot be two triangles...the base equal to one another, and likewise those** which are terminated in the other extremity. 2. Draw a straight line at right angles to a given straight... | |
| 1856
...papers in which 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...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
...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
...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... | |
| War office - 1858 - 12 sider
...express engine at 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...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... | |
| Euclides - 1858
...the two sides equal to them of the other. DEMONSTRATION. — Pr. 7. On the same side of the same base **there cannot be two triangles that have their sides...the base equal to one another, and likewise those** which are terminated in the other extremity. Ax. 8. Magnitudes which coincide are equal to one another.... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...1. On the same base, and on the same side of it, there cannot be two triangles that have the 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 be divided into any two parts, the square... | |
| Robert Potts - 1860 - 361 sider
...Hence an equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on **the same side of it, there cannot be two triangles...the base, equal to one another, and likewise those** which are terminated in the other extremity. If it be possible, on the same base AB, and upon the same... | |
| Euclides - 1860
...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... | |
| Popular educator - 1860
...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,... | |
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