 | 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... | |
 | War office - 1858 - 578 pages
...between the train and the 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...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 - 248 pages
...over from B to C, 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...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...'86. Approximate as far as 4 places of decimals to the square roots of 7, i, and If. Euclid. 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... | |
 | 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... | |
 | 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... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...HEY. G. FBOST, MA 1. Give Euclid's definitions of the different kinds of three sided figures. 2. 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... | |
 | 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,... | |
 | War office - 1861 - 714 pages
...years at . per cent, per annum, simple interest. 10. Extract the square root of 13277-9529. Euclid. 1. Upon 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 - 1861 - 464 pages
...similar segments of a circle, is the same in principle with the 7th of Book I., which says, that, " 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, and likewise those terminated... | |
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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... 
