Books Books If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. Mathematics, mechanics, heat - Page 21
by American School (Chicago, Ill.) - 1903 ## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other — it being understood that it is not the sum of... ## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...angle included between them, are given, there are sufficient data for constructing the triangle ; and if two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other — it being understood that it is not the sum of... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. ' If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal. Let... ## Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - Geometry - 1836 - 242 pages
...conditions which determine such equality are comprised in the four following theorems. THEOREM VI. 38. If two triangles have two sides, and the included angle of the one respectively equal to two sides and the included angle of the other, the remaining sides and angles... ## Psychology: Or, Elements of a New System of Mental Philosophy, on the Basis ...

Samuel Simon Schmucker - Psychology - 1842 - 262 pages
...the nature, eg, of the demonstration of the theorem of Euclid known as Prop. IV. of Book I., viz. : If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they must be identical or equal in all respects.... ## Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...are equal. Draw the chords AB, DE ; then since radii are all equal (Def. 4), the triangles ACB, DCE, have two sides and the included angle of the one,...equal respectively to two sides and the included angle of the other, hence they are equal ; so that if ACB be applied to DCE, there will be an exact coincidence... ## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF. FCA. PROPOSITION V. THEOREM. If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each tc each, the two triangles will be equal Let... ## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...formed at the point of intersection, are together equal to four right angles. PROPOSITION VI. THEOREM. If two triangles have two sides, and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal, their... ## Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 236 pages
...(Ax. 3). In the same manner we may prove that the angle AED is equal to the angle CEB. \ THEOREM IV. If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal. Let... 