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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. "
Elements of Plane Geometry - Page 48
by Thomas Hunter - 1878 - 132 pages
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...portions that can be made to coincide. CHAPTER I RECTILINEAR FIGURES PART I. TRIANGLES 35. Theorem I. If two triangles have two sides and the included angle of the one equal, respectively, to two sides and the included angle of the other, the triangles are congruent. 36. Corollary...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1915 - 232 pages
...Theoretical. Figures must be drawn neatly. Recognized abbreviations may be used. 4. Prove that, if two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle angle of the other, then the two triangles are...
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Coal Miners' Pocketbook: Formerly The Coal and Metal Miners' Pocketbook ...

Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...opposite or vertical aiigles are equal. 4. If two angles have their sides parallel, they are equal. 5. If two triangles have two sides, and the included angle...the one equal to two sides and the included angle of the other, they are equal in all their parts. 6. If two triangles have two angles, and the included...
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Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...used to denote geometric equality or congruence. BOOK I. PLANE GEOMETRY PROPOSITION II. THEOREM 92. If two triangles have two sides and the included angle of the one ecftial respectively to two sides and the included angle of the other, the triangles are congruent....
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Mathematics for Shop and Drawing Students

Harry Morton Keal, Clarence J. Leonard - Mathematics - 1921 - 238 pages
...Fig. 77, they are equal. 74. Congruent Triangles. Triangles equal in all respects are congruent. 1. If two triangles have two sides and the included angle...the one equal to two sides and the included angle FIG. 78. of the other, the triangles are congruent. That is, if AC = DF, AB = DE and ZA= ZD, triangles...
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The Anderson Arithmetic, Book 3

Robert Franklin Anderson - Arithmetic - 1921 - 348 pages
...out, place one upon the other in such a way as to learn whether or not the two triangles are equal. If two triangles have two sides and the included angle of the one equal, respectively, to two sides and the included angle of the other, how do the triangles compare in shape...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...parts of one triangle are equal to the homologous parts of the other ; it is sufficient to show that the two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other. We can then quote the theorem of Art....
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 pages
...into two isosceles triangles. CHAPTER IV CONGRUENT TRIANGLES ( The two basic methods are: . *52. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are congruent. *S3. If...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...angle C A' CBB' = angle CB'B. Adding angles at B and at B', we have angle ABC = AB'C. Thus, the given triangles have two sides and the included angle of the one, equal, respectively, to two sides and the included angle of the other, and they are, therefore, equal. QED...
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The Elements of Plane Geometry

Euclid - 1845 - 328 pages
...that the angles BOC, COA, AOB are equal ; show that each of these angles is 120. 24. PROP. 3. If two triangles have two sides and the included angle...the one equal to two sides and the included angle of the other, the triangles are congruent. B c E Let the triangles ABC, DEF have side AB = side DE,...
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