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" Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. "
The Elements of Geometry - Page 52
by Webster Wells - 1894 - 378 pages
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...square are the only parallelograms which can be inscribed in a circle (348). EQUALITY. 370. Theorem — Two parallelograms are equal when two adjacent sides and the included angle in the one, are respectively equal to those parts in the other. For the remaining sides must be equal...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 438 pages
...square are the only parallelograms which can be inscribed in a circle (348). EQUALITY. 370. Theorem — Two parallelograms are equal when two adjacent sides and the included angle in the one, are respectively equal to those parts in the other. For the remaining sides must be equal...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...rectangle and a rhombus, has the properties of all these figures. PROPOSITION XXXVI.— THEOREM. 119. Two parallelograms are equal when two adjacent sides and the included angle of the one are equal to two adjacent sides and the included angle of the other. Let AC, A'C', have AB...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...rectangle and a rhombus, has the properties of all these figures. PROPOSITION XXXVI— THEOREM. 119. Two parallelograms are equal when two adjacent sides and the included angle of the one are equal to two adjacent sides and the included angle of the other. Let AC, A'C', have AB...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 288 pages
...square are the only parallelograms which can be inscribed in a circle (348). EQUALITY. 370. Theorem — Two parallelograms are equal when two adjacent sides and the included angle in the one are respectively equal to those parts in the other. For the remaining sides must be equal...
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A Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 332 pages
...given parts, and prove that it is equal to the first. Theorem. — Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Exercises. — 1. Construct a parallelogram, the two sides...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...(<f), whose sides are all equal and whose angles are all equal. PROPOSITION XXVIII.— THEOREM. 58, Two parallelograms are equal when two adjacent sides and the included angle of the one are equal to two adjacent sides and the included angle of the other. AD = A'jy, and the angle...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - Geometry - 1888 - 200 pages
...parts are given ? If the three angles are given ? 14. Theorem. — Two triangles are equal, if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other, HYPOTHESIS. A ABC and DEF, AB=DE, AC=DF, CONCLUSION. _ BDE...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - Geometry - 1888 - 202 pages
...two parts are given? If the three angles are given? 14. Theorem. — Two triangles are equal, if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. HYPOTHESIS. A ABC and DEF, AB=DE, AC=DF, CONCLUSION. -^...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...35. Theorem. 135. Two parallelograms are equal when two_ adjacent sides and the included angle of the one are equal respectively to two adjacent sides and the included angle of the other. Hyp. Let ABCD, A'B'C'D' be two , having AB = A'B', AD = A'D', V \ ZA=ZA'. \_ \ To prove oABCD...
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