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" 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. "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Σελίδα 416
των Robert Mudie - 1836 - 496 σελίδες
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 σελίδες
...respects. (a) Anyone of the angles of a triangle is less than two right angles cor. 5 (A) Triangles which have two sides and the included angle of the one equal to two sides, and the included angle of the other, each to each, are equal in all respects . . .5 (c) Triangles which have two angles and...

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...respeits. (aj Any one of the angles of a triangle is less than two right angles cor. 5 (б) Triangles which have two sides and the included angle of the one equal to two sides, and the included angle of the other, each to each, are equal in all respects . . .5 (r) Triangles which have two angles and...

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 σελίδες
...sides, and the angle included between them, are given, there are sufficient data for constructing the triangle ; and if two triangles have two sides and...that it is not the sum of the sides which is equal, hut that each of the two sides of the one triangle, taken singly, is equal to one side of the other...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 σελίδες
...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...the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal. Let the side ED be equal to the side BA,...

Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - 1836 - 220 σελίδες
...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...

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 252 σελίδες
...of the Triangle. SECTION VI. PROPERTIES OF THE TRIANGLE. 1. If two triangles have two sides, and an included angle of the one, equal to two sides and the included angle of the other, each to each, the remaining parts will also be equal. That is, if we have the two triangles,...

Psychology

Samuel Simon Schmucker - 1842 - 227 σελίδες
...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...the one equal to two sides and the included angle of the other, they must be identical or equal in all respects. For it virtually consists in supposing...

Elementary Course of Geometry ...

Charles William Hackley - 1847 - 103 σελίδες
...to the second. PROP. IX. Two spherical triangles are either identical or symmetrical, 1°. When they have two sides and the included angle of the one equal to the same in the other ; 2°. When they have a side and two adjacent angles ; 3°. When they have three...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 σελίδες
...parts, by the line CD, making the angle ACD equal to the angle BCD. Then the two triangles ADC and BDC have two sides and the included angle of the one equal to the two sides and the included angle of the other, namely, the side AC equal to BC, the angle ACD equal...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 σελίδες
...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...the one, equal to two sides and the included angle of the other, each tc each, the two triangles will be equal Let the side ED be equal to the side BA,...




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