 | Adrien Marie Legendre - 1825 - 276 pagina’s
...line AD from the vertex A to the point D the middle of the base BC ; the two triangles ABD, ADC, will have the three sides of the one, equal to the three sides of the qther, each to each, namely, AD common to both, AB — AC, by hypothesis, and BD = DC, by construction... | |
 | Pierce Morton - 1830 - 584 pagina’s
...the three angles of the one equal to the three angles of the other, each to each, they shall likewise have the three sides of the one equal to the three sides of the othrr, each to each, viz. those which are opposite to the equal angles.* Let the spherical triangles... | |
 | 1835 - 684 pagina’s
...and С с ; draw P О perpendicular to Ce; and join OQ. Then, because the triangles С P с, С Q с have the three sides of the one equal to the three sides scribe two circles, and kt them cut one another in P; and from P draw PM perpendicular to А В : then... | |
 | Benjamin Peirce - 1837 - 216 pagina’s
...and, by transposition, A> B+ C— 360° + 180°, or A > (B + C) — 180°, as we wished to prove. 449. Theorem. If two spherical triangles on the same sphere, or on equal sphere?, are equilateral with respect to each other, they are also equiangular with respect to each... | |
 | Benjamin Peirce - 1841 - 186 pagina’s
...and, by transposition, A>^-B1C — 360° + 180°, or *9>(5+ C) — 180°, as we wished to prove. 449. Theorem. If two spherical triangles on the same sphere, or on equal spheres, are equilateral with respect to each other, they are also equiangular with respect to each other. Proof.... | |
 | Benjamin Peirce - 1847 - 204 pagina’s
...by transposition, A > -f- BC — 360° + 180°, or A>(B + C)— 180°, as we wished to prove. 449. Theorem. If two spherical triangles on the same sphere, or on equal spheres, are equilateral with respect to each other, they are also equiangular with respect to each other. Proof.... | |
 | Charles Davies - 1850 - 238 pagina’s
...chord, and the arc AE equal to EB. First. Draw the two radii CA, CB. Then the two triangles A CD, DCS, have the three sides of the one equal to the three sides of the Of the Circle. B other, each to each : viz. AC equal to CB, being radii, AD equal to DB, by hypothesis,... | |
 | Charles Davies - 1850 - 218 pagina’s
...chord, and the arc AE equal to EB. First. Draw the two radii CA, CB. Then the two triangles A CD, DCB, have the three sides of the one equal to the three sides of the *Note. When reference is made from one theorem to another, in the same Book, the number of the theorem... | |
 | Charles Davies - 1855 - 340 pagina’s
...chord, and the arc AE equal to EB- ^ First- Draw the two radii CA, CBThen the two triangles A CD, DCB, have the three sides of the one equal to the three sides of the *Note- When reference is made from one theorem to another, in the same Book, the number of the theorem... | |
 | 1873 - 192 pagina’s
...that similar prisms, or pyramids, are to each other as the cubes of their altitudes. 5. Prove that if two spherical triangles on the same sphere, or on equal spheres, are equilateral with respect to each other, they are also equiangular with respect to each other. LOGARITHMS... | |
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Theorem. If two spherical triangles on the same sphere, or on equal spheres, are equilateral with respect to each other, they are also equiangular with respect to each other. 
