 If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.  Elements of Geometry - Pagina 9door Adrien Marie Legendre - 1825 - 224 pagina’sVolledige weergave - Over dit boek
 | Benjamin Donne - 1796 - 120 pagina’s
...the line DF will coincide with AC, and EF with BC. THEOREM 16. If two triangles have three sides of one equal to the three sides of the other, each to each, thefe triangles are equal in every rcfpeft. — 8 E. 1, or 17 D. 1. Ciť For if the triangle DEF be... | |
 | Daniel Cresswell - 1816 - 352 pagina’s
...which are equal to them, are equal to one another. (2l6.) COR. 2. Hence, if two spherical triangles have the three sides of the one equal to the three sides of the other, or two sides and the included angle in the one, equal to two sides and the included angle, in the other,... | |
 | Adrien Marie Legendre - 1825 - 276 pagina’s
...to the equal sides are equal. Demonstration. Let the side AB = AC (fig. 28), then will the Fig.;28. angle C be equal to B. Draw the straight line AD from...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... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 pagina’s
...the figure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC, have the three sides of the one equal to the three sides of the other, each to each, they are therefore equal, and the angle ADB opposite to the side AB is equal to the angle DBC opposite... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 pagina’s
...however dissimilar ; thus a circle may be equivalent to a square, a triangle to a rectangle, &c. having the three sides of the one equal to the three sides of the other, each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal to the angles... | |
 | George Lees - 1826 - 276 pagina’s
...base at right angles. OF GEOMETRY. Book I. s Sup. PROP. IV. THEOREM. If two triangles, ABC and DEF, have the three sides of the one equal to the three sides of the other, each to each, viif. AB to DE, AC to DF, and BC to EF, the triangles are equal in every respect. Let AB be that side... | |
 | James Hayward - 1829 - 218 pagina’s
...their parts ; they are not different, therefore, but equal; and we say, universally, When two triangles have the three' sides of the one equal to the three sides of the other respectively, the angles will also be equal, respectively, and the two triangles will be equal in all... | |
 | Alexander Ingram - 1830 - 458 pagina’s
...one and the same great circle, meet in the poles of that circle. PROP. V. If two spherical triangles have the three sides of the one equal to the three sides of the other, each to each, the angles which are opposite to the equal sides are likewise equal ; and conversely. PROP. VI. If... | |
 | 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... | |
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