 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 - Side 21av Adrien Marie Legendre - 1825 - 224 siderUten tilgangsbegrensning - Om denne boken
 | Benjamin Donne - 1796 - 120 sider
...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. Ci» For if the triangle DEF be... | |
 | Daniel Cresswell - 1816 - 352 sider
...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 - 1819 - 574 sider
...will be equal to the arc EJVG. For, if the radii CD, OG, be drawn, the two triangles ACD, EOG, will have the three sides of the one equal to the three sides of the other, each to each, namely, AC = EO, CD= OG and AD = EG; therefore these triangles are equal (43); hence the angle ACD... | |
 | Adrien Marie Legendre - 1825 - 570 sider
...compare thp triangle ADO with the triangle COB, we find the side AD = CB, and the angle ADO = CBO (67) : also the angle DAO = OCB ; therefore these two triangles...diagonals of a rhombus cut each other mutually at right unglos. i SECTION SECOND. Of the Circle and the Measure of Angles. DEFINITIONS. ^0. THE circumference... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 sider
...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... | |
 | George Lees - 1826 - 276 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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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