| 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 - 344 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 - 460 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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