 | Euclides - 1833 - 304 σελίδες
...cannot be bisected in any point but G. PROP. 15. THEOR. Of all the triangles, that can be formed having two sides of the one respectively equal to two sides of the other, the greatest is that, which has those two sides at right angles to one another. Fig. 14. ANALYSIS. Since... | |
 | Euclid - 1833 - 216 σελίδες
...(4) Constr. & Hypoth. (5) Prop. 5. (6) Prop. 19. (7) Constr. & Prop. 4. If two triangles (EFD, BAC) have two sides of the one respectively equal to two sides of the other (FE to AB, and FD to AC}, and if one of the angles (BAC) contained by the equal sides be greater than... | |
 | John Farrar - 1833 - 274 σελίδες
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently m Sm' = mEm'. Therefore, since these tangents make the same angle... | |
 | Schoolmaster - 1836 - 926 σελίδες
...given by Euclid, as also to prove simple derivative propositions of such a form as this — " If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the remaining sides will be unequal, &c." On the question whether... | |
 | 1836 - 502 σελίδες
...given by Euclid, as also to prove simple derivative propositions of such a form as this — " If two triangles have two sides of the one respectively equal to two sides of the other, but the included Angles unequal, the remaining sides will be unequal, &c." On the question whether... | |
 | Eugenius Nulty - 1836 - 242 σελίδες
...each of two triangles, the only cases of the kind entitled to particular notice. THEOREM X. 43. J/ two triangles have two sides of the one respectively equal to two sides of the other, but the angles contained by those sides unequal; the third side of that triangle which has the greater... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...from the vertex of a triangle to the point of bisection of the base, bisects the triangle : and if two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles (I. def. 38.) supplemental, the triangles are equal. PROB. XXXIX. THEOR.*... | |
 | Euclides - 1840 - 82 σελίδες
...greater of two given straight lines, to cut off a part equal to the less. PROP. IV. THEOREM. If two triangles have two sides of the one respectively equal to two sides of the other, and the angles contained by those equal sides also equal; then their bases or third sides are also... | |
 | Euclides - 1840 - 192 σελίδες
...greater line AB, is equal to the less C (Ax. i). PROP. IV. THEOREM. If two triangles (ACB and DFE) have two sides of the one respectively equal to two sides of the other, (CA to FD and CB to FE), and the angles (c and F) contained by those equal sides also equal ; then... | |
 | Benjamin Peirce - 1841 - 186 σελίδες
...AB would by § J5J_and the preceding demonstration, be equal to or less than AC. 63. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and if the included angle of the first triangle is greater than the included angle of the second triangle,... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. 
