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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. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 22
av Euclides - 1863
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Papers for the Schoolmaster

1852
...Taylor. EUCLID. DIVISION I. SECTION I. 1. Upon the same base and upon the same side of it there canuot be two triangles that have their sides which are terminated...the base, equal to one another, and likewise those which are terminated at the other extremity. 2. The greater side of every triangle is opposite the...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 718 sider
...on the same side of it, there cannot be two triangles that have their sides, which are terminated at one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity, equal to one another." • The surface to be measured...
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Five Years in an English University, Volum 2

Charles Astor Bristed - 1852
...be answered by those only who send in no answers to the lastj paper.) 1. UPON the same base, and on the same side of it, there cannot be two triangles...are terminated in one extremity of the base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a triangle be...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...different situation as EG, FG; then, upon the same base EF, and upon the same side of it, BOOK I. there can be two triangles that have their sides which are terminated...extremity of the base equal to one another, and likewise their sides terminated in the other extremity: • vii. i. But this is impossible"; therefore, if the...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...different situation, as EG, FG; then, upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...different situation, as eg, fg, then upon the same base ef, and upon the same side of it, there can be two triangles that have their sides which are terminated...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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...different situation as EG, FG, then upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated...extremity of the base equal to one another, and likewise their sides terminated in the other extremity : but this is impossible (7. i.) ; therefore, if the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...upon the same base EF, 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 iïkewise those terminated in the other extremity. But this is (I. 7) impossible. Wherefore, if the...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...and upon the same side of it there cannot be two triangles which have their two sides terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other. 2. If two triangles have two sides of the one equal to two sides...
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 sider
...observed. (Three Hours allowed for this Paper.) EUCLID.— (First Section.) 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. If from the ends of a side of a triangle there be drawn...
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