| 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... | |
| Eli Todd Tappan - Geometry - 1868 - 444 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Webster Wells - Geometry - 1886 - 392 pages
...angle is the complement of the other. PROPOSITION XIX. THEOREM. 76. Two triangles are equal when two sides and the included angle of one are equal respectively to two sides and the included angle of the other. DE In the triangles ABC and DEF, let the side AB be equal... | |
| 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... | |
| 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... | |
| 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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