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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, After Legendre, with a Selection of Geometrical ... - Page 45
by Charles Scott Venable - 1881

## An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 118 pages
...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...

## A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 294 pages
...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,...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...and AD = CB, the equal sides will be parallel, and the Jigure 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 t A reentering angle is one whose vertex is directed inward, as fig. 43. CDE (Jig. 13), while a saliant...

## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...and AD = CB, the equal sides will be parallel, and the figure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC,...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...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...AD = CB, the equal sides will be parallel, and the figure will lie a parallelogram. Demonstration' Draw the diagonal BD ; the two triangles ABD, BDC,...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...

## Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...and AD = CB, the equal sides will be parallel, and the figure will be a parallelogram. Demonstration. Draw the diagonal BD ; the two triangles ABD, BDC,...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...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...and AD = CB, the equal sides will be parallel, and 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 t A re-entering angle is one whose vertex is directed inward, as Fig. 43. CDE (fg. 43), while a saliant...

## Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 pages
...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...

## Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...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...

## A concise system of mathematics

Alexander Ingram - Mathematics - 1830 - 462 pages
...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...