 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...Why? (Axiom 2.) But Z BDC is Z EDF, which is therefore equal to Z BAG. Hence in As BAC and EDF, two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. Name them. ELEMENTARY GEOMETRY [CHAP. I In Article 46 we... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...included side of one are equal, respectively, to two angles and the included side of the other. (2) lf two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. (3) lf the three sides of one are equal, respectively, to... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...parallelogram. § 128. (6) If two parallelograms have two adjacent sides and the included angle of one equal, respectively, to two adjacent sides and the included angle of the other, the parallelograms are identically equal. § 129. 13. MISCELLANEOUS THEOREMS. (1) If two straight... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...angles ; for the square is at once a rectangle and a rhombus. THEOREH XXXIV. 114. Two parallelogramx are equal when two adjacent sides and the included...angle of the other. In the parallelograms ABCD and A' B' C' D', let AB = A' B' and AD — A' D', and let the included angle A = angle A'. To prove that... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...COROLLARY II. Two parallelograms are equal if they have two adjacent sides and the included angle of one equal respectively to two adjacent sides and the included angle of the other. 198. COROLLARY III. Parallels included between two parallels and limited by them, are equal.... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...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 which AB = AC=DF, and... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...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 the hypotenuse and... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...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 which AB=DE, AC=DF,... | |
 | Education - 1919 - 960 pages
...this is what he had done. Beneath this was written, "Proposition: 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." Then followed the ordinary proof of the proposition. About... | |
 | Education - 1914 - 220 pages
...and AC are drawn, or what size angle A has? This proves Theorem II. 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. Problem V. To construct a triangle when two sides and their... | |
| |
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. 
