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" 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 in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 17
των Euclid - 1810 - 518 σελίδες
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...upon the same base EF, and upon the same side of it, there can be two triangles 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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...upon the same base EF, and upon the same side of it, there can be two triangles 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 (7. i.) ; therefore, if the...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...upon the same base ef, and upon the same side of it, there can be two triangles 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 336 σελίδες
...side of it, there cannot be two triangles that have their sides which are terminated in one extrem ity of the base equal to one another, and likewise those which are termina ted in the other extremity equal to one another.^PROP. VIII. THEOR. If two triangles have two...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 σελίδες
...the same base, and on the same side of it, there cannot be two triangles, that have their sides whieh are terminated in one extremity of the base equal...those which are terminated in the other extremity, equal to one another. Let there be two triangles ACB, ADB, upon the same base AB, and upon the same...

Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J Butler Williams - 1855 - 306 σελίδες
...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...those which are terminated in the other extremity, equal to one another.' Comprehensive Triangles. The surface to be measured is therefore divided into...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 σελίδες
...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 of the other, each to...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 σελίδες
...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...

Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 σελίδες
...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,...those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...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...




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