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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. "
The Elements of Euclid: viz. the first six books, together with the eleventh ... - Σελίδα 11
των Robert Simson - 1835 - 513 σελίδες
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...left, so as not to topple over. EUCLID. BOOKS I. II. Ill (A). For all Candidates for a BA Degree. 1. 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...

The Educational record, with the proceedings at large of the ..., Τόμοι 3-4

British and foreign school society - 1857 - 548 σελίδες
...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 σελίδες
...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...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 σελίδες
...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...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 σελίδες
...'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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...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...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 σελίδες
...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...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 σελίδες
...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...

The popular educator, Τόμος 3

Popular educator - 1860 - 536 σελίδες
...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,...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...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...




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