Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
 Bøker Bok 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. SYLLABUS OF PLANE GEOMETRY - Side 13
1876
Uten tilgangsbegrensning - Om denne boken ## An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796
...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...
Uten tilgangsbegrensning - Om denne boken ## A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 294 sider
...triangles, 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,...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry

Adrien Marie Legendre - 1819 - 208 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...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 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...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry

Adrien Marie Legendre - 1825 - 224 sider
...will be equal to the arc ENG. 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...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry

Adrien Marie Legendre - 1825 - 224 sider
...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...
Uten tilgangsbegrensning - Om denne boken ## Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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...
Uten tilgangsbegrensning - Om denne boken ## ELEMENTS OF GEOMETRY UPON THE INDUCTIVE METHOD.

JAMES HAYWARD - 1829
...coincide in all their parts ; they are not different, therefore, but equal; and \ve 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...
Uten tilgangsbegrensning - Om denne boken ## A concise system of mathematics

Alexander Ingram - 1830 - 120 sider
...plane of 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...
Uten tilgangsbegrensning - Om denne boken ## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 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...
Uten tilgangsbegrensning - Om denne boken