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" IF two triangles have two sides of the one equal to two sides of the... "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Side 39
av Euclides - 1877
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Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 206 sider
...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 sider
...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 sider
...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 sider
...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 in the...
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 372 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 sider
...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 of the other; the base of that...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 sider
...conditions. Wherefore, universally, if two triangles have two sides &c. Which was to be demonstrated. THEOREM. — If two triangles have two sides of the one, equal to two sides of the other respectively, but the third side of the one is greater than the third side of the other ; the...
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The Quarterly Journal of Education, Volum 6

1833 - 414 sider
...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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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1

Francis Joseph Grund - 1834 - 204 sider
...to each, the two rightangled triangles are equal. 20. 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 them in the other,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...straight c 1. Ax. 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 each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise...
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