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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pàgina 36
per John Playfair - 1832 - 333 pàgines
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pàgines
...another, and likewise those which are terminated in the other extremity. QE J). PROP. VIII. TIIEOR. If two triangles have two sides of the one equal to two sides of the of her, each, to each, and have likewise their bases equal ; the angle which is contained by the two...
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Dialogues on the First Principles of the Newtonian System, Volum 4

Walter Henry Burton - 1828 - 84 pàgines
...the 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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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - 1829 - 218 pàgines
...the two 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...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 pàgines
...lines, a part AE 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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Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 206 pàgines
...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 - 228 pàgines
...the two 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 otlicr, each to each, and the angle contained by these two sides of the one, equal to the angle contained...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 pàgines
...to, or greater than, or Jess than a semicircumference. 190 VI. $ 2.] 191 PROP. 13. If two spherical triangles have two sides of the one equal to two sides of the other, fach to each, and likewise the included angles equal ; their other angles shall be equal, each...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - 1830 - 274 pàgines
...two right-angular triangles are equal. 94 GEOMETRY. 21. If in two triangles two sides of the one are equal to two sides of the other, each to each, but the angle included by the two sides in one triangle is greater than the angle included by the two sides...
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 372 pàgines
...spherical polygon is 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...
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The Quarterly Journal of Education, Volum 6

1833 - 414 pàgines
...as 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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