From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other... Plane and Solid Geometry - Page 62by William James Milne - 1899 - 384 pagesFull view - About this book
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...parallel, then the other two sides are equal and parallel, and the figure is a parallelogram. 185. Two parallelograms are equal, if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. 186. Two rectangles... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...exterior angles on the same side of the transversal are supplementary. PROPOSITION XXXVII. THEOREM. 185. Two parallelograms are equal, if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. c' In the parallelograms... | |
| George Albert Wentworth - Geometry - 1899 - 498 pages
...exterior angles on the same side of the transversal are supplementary. PROPOSITION XXXVII. THEOREM. 185. Two parallelograms are equal, if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. c' In the parallelograms... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...2) 2 rt. A, a. If they are the angles of any convex polygon. § 160 18. Two triangles are equal, a. If two sides and the included angle of one are equal to the corresponding parts of the other. § 100 6. If a side and two adjacent angles of one are equal... | |
| William Coligny Doub - Education - 1900 - 120 pages
...explanation of The principles of cube root; in geometry, prove the following 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;" in reading, several pages from the... | |
| Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...vertical angles are equal; The angles at the base of an isosceles triangle are equal; Two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other; The sum of the angles of a triangle equals two right angles; Two mutually equiangular... | |
| Education - 1904 - 938 pages
...axiom, supplementary angle. 2. Demonstrate: If two angles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects. 3. Demonstrate: If a perpendicular be erected at the middle... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...Subtracting PQ from each side, AB + BC > AP + PC. A*« 9Q, EB PROPOSITION VI. THEOREM 96. 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. E Given the triangles ABC and DEF in... | |
| Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...Subtracting PQ from each side, AB + BO AP + PC. Ax. 9. QED PROPOSITION VI. THEOREM 96. 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. B Given the triangles ABC and DEF in... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...other two sides of the triangle is greater than the sum of the two lines so drawn. 96. 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. 98. Two right triangles are equal if... | |
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