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Books Books 61 - 70 of 122 on If two triangles have two sides, and the included angle of the one equal to two sides....
" 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 are equal in all their parts. "
Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ... - Page 281
by Charles Davies - 1872 - 592 pages
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Hints on Home Teaching

Edwin Abbott Abbott - Domestic education - 1883 - 225 pages
...triangles do you see that look equal ? " (Ans. ABE, ACD.) "Then we shall try to prove that these two have two sides and the included angle of the one, equal to two sides of the included angle of the other." This done, you say, " Now what other triangles look equal?" (Ans....
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 333 pages
...falls between CA and CB, and CH will meet AB in some point, as H. Draw HE. The triangles HCB and HCE have two sides and the included angle of the one, equal to the corresponding parts of the other, whence HE = HB (?). Now AH + HE > AE but AH + HE = AH + HB =...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 155 pages
...similar. Take AG equal to DE, and AH to DF; also, join GH. Then the triangles AGH, DEF, having two sides and the included angle of the one equal to two sides and the included angle of the other, are equal throughout (Theo. XII, Book I). Now, by hypothesis, Hence, it follows that...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 155 pages
...DB < AC + CB. NOTE. — Have pupils give demonstration, prolonging BD instead of AD. THEOREM XII. 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, they are equal throughout. The...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Adrien Marie Legendre - Geometry - 1885 - 512 pages
...CAG equal to the angle D (Post. 7) ; make AG equal to DE, and draw GC. Then the triangles AGC and DEF have two sides and the included angle of the one equal...and the included angle of the other, each to each ; consequently, GC is equal to EF (PV). Now, the point G may be without the triangle ABC, it may be...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 63 pages
...Proposition XLV. A Theorem. 87. Two parallelograms are equal if they have two sides and the included angle of one equal to two sides and the included angle of the other, each to each. Proposition XLVI. A Theorem. VIII. POLYGONS OF MORE THAN FOUR SIDES. 89. What is a polygon ? a. A pentagon?...
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Principles of Plane Geometry

James Wallace Macdonald - Geometry - 1894 - 65 pages
...Proposition XLV. A Theorem. 87. Two parallelograms are equal if they have two sides and the included angle of one equal to two sides and the included angle of the other, each to each. Proposition XLVI. A Theorem. 88. Parallel lines are everywhere equally distant. VIII. POLYGONS OF MORE...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Randal Charles John Nixon - Geometry - 1890 - 400 pages
...BC = side YZ, side CA = side ZX ; and, finally, area ABC = area XYZ. Proposition 4. THEOREM — 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, then the triangles are identically...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 406 pages
...equal to the given lines, and it is, therefore, the required triangle. PROPOSITION I. Theorem : // two triangles have two sides and the included angle...and the included angle of the other, each to each, they are equal in all their parts. Statement : Let the two triangles 123 and 456 have the side / 2...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 406 pages
...coincide, and are equal. Conclusion \ABCK and E FS H being, etc. Corollary I. Parallelograms having two sides and the included angle of the one equal to two...and the included angle of the other, each to each, are equal. PROPOSITION XVIII. 21O. Theorem : A parallelogram is divided by either of its diameters...
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