| Robert Simson - 1827 - 546 σελίδες
...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... | |
| Walter Henry Burton - 1828 - 84 σελίδες
...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... | |
| Euclid, Robert Simson - 1829 - 548 σελίδες
...of two straight 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... | |
| James Hayward - 1829 - 218 σελίδες
...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 of... | |
| John Martin Frederick Wright - 1829 - 206 σελίδες
...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... | |
| James Hayward - 1829 - 228 σελίδες
...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... | |
| John Playfair - 1829 - 210 σελίδες
...less. Which was to be done. PROPOSITION IV. THEOREM. IF two triangles have two sides of one triangle equal to two sides of the other, each to each; and have also the angles contained by those aides equal to each other; their third sides will be equal; and... | |
| Pierce Morton - 1830 - 584 σελίδες
...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... | |
| John Playfair - 1832 - 358 σελίδες
...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... | |
| Thomas Perronet Thompson - 1833 - 168 σελίδες
...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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