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" If two triangles have two sides of the one equal to two sides of the... "
Easy Introduction to Mathematics - Pagina 243
door Charles Butler - 1814
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pagina’s
...BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle contained ly the sides of thai...
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Dialogues on the First Principles of the Newtonian System, Volume 4

Walter Henry Burton - 1828 - 68 pagina’s
...proposition is a fundamental one, we will prove it. Suppose two triangles, of whatever form, to have two sides of the one equal to two sides .of the other, each to each; and the angle contained between those two sides in the one triangle to be equal to that which is contained...
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Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 188 pagina’s
...have not been considered by Euclid. Of these seven combinations, six of them belong to the case of two triangles, having two sides of the one equal to two. sides of the other, each to each, and one angle to one angle, viz. those to which equal sides are opposite. This case will be fully discussed...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - 1829 - 172 pagina’s
...triangles would therefore be equal in all their parts. And we say universally, — When two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by these two sides of the one, equal to the angle contained by the two sides of the...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 pagina’s
...has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. IF two triangles have two sides of the one equal to two sides of the other, each to eacji ; and have likewise the angles contained by those sides equal to one another, they shall likewise...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pagina’s
...than D E. For, the radii А С, С В being equal to the radii DC, CE respectively, CAB and С DE are triangles having two sides of the one equal to two sides of the other, each to each, but the angle ЛСВ greater than D С E : therefore, the base AB (I. 11.) is likewise greater than...
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First Lessons in Plane Geometry: Together with an Application of Them to the ...

Francis Joseph Grund - 1830 - 255 pagina’s
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them also equal to one another, what relation will these two triangles...
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 330 pagina’s
...less than the circumference of a great circle, (art. 32.) 49. PROP. If two spherical triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, the two triangles shall be...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 pagina’s
...the given rectilineal angle DCE- Which was to be done. PROP. XXIV. THEOR. If two triangles have fwo sides of the one equal to two sides of the other, each to each, but the angle contained by the Iwvsidesof the one prettier limn the angle contained by the two sides...
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The Quarterly Journal of Education, Volume 6

1833
...possible, and also of many superfluous phrases. For instance, ' if there be two triangles which have two sides of the one equal to two sides of the other, each to each, Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega...
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