| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...shown in the diagram. (Denote the error by e and show that e + e = x.) PROPOSITION II. THEOREM 79. **If two triangles have two sides and the included angle of one** respectively equal to two sides and the included angle of the other, the triangles are equal. Given... | |
| Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...triangles, the corresponding sides are equal and the corresponding angles are equal. § 23. Experiment. **If two triangles have two sides and the included angle...the included angle of the other, the triangles are** equal. § 25. Construction. To construct a triangle when the three sides are given. § 27. Experiment.... | |
| High schools - 1918 - 378 pages
...mentally. Read through the theorem carefully, making certain that every word is thoroughly understood. **If two triangles have two sides and the included angle...equal respectively to two sides and the included angle** of the other, etc., separate it into hypothesis and conclusion. To make sure that the pupils have the... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...5 = Z. 6, and C"B'= CB. That is, we have found by measurement that if two triangles are drawn with **two sides and the included angle of one equal, respectively,...two sides and the included angle of the other, the** remaining pairs of corresponding parts are equal. If we could prove that this statement is true in... | |
| Herbert Ellsworth Slaught - 1918 - 332 pages
...5 = £ 6, and C'B'= CB. That is, we have found by measurement that if two triangles are drawn with **two sides and the included angle of one equal, respectively,...two sides and the included angle of the other, the** remaining pairs of corresponding parts are equal. If we could prove that this statement is true in... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 436 pages
...triangles equal? Place the triangle ABC on Fig. 3 so that AC coincides with DF. Triangles ABC and DEF **have two sides and the included angle of one equal respectively to two sides and the included angle** of the . other. Are these two triangles equal? The following statement expresses the result of this... | |
| William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1919 - 334 pages
...as an axis until it comes into the plane again. This motion is sometimes called overturning. § 108. **THEOREM I.* If two triangles have two sides and the...two sides and the included angle of the other, the** two triangles are congruent. On a piece of tracing paper draw a straight line; on this line mark off... | |
| William Ledley Vosburgh - 1919 - 332 pages
...sometimes called overturning. These three statements are the postulates of motion. § 108. THEOREM I.* // **two triangles have two sides and the included angle...two sides and the included angle of the other, the** two triangles are congruent. On a piece of tracing paper draw a straight line ; on this line mark off... | |
| Marie Gugle - Mathematics - 1920 - 268 pages
...Which parts were these? m. Theorem on Congruence of Triangles 1. Are any two triangles congruent which **have two sides and the included angle of one equal respectively to two sides and the included angle** of the other? Reply to this question by changing it into a statement. 2. This statement is the first... | |
| Robert Remington Goff - 1922 - 136 pages
...TRIANGLES ( The two basic methods are: . *52. If two triangles have two sides and the included angle of the **one equal respectively to two sides and the included angle of the other, the triangles are congruent.** *S3. If two triangles have two angles and the included side of the one equal respectively to two angles... | |
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