 If two spherical triangles on the same sphere, or equal spheres, have two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, I.  Solid Geometry - Page 396by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...We shall now try to find other means of knowing. 30. Theorem V. Two triangles are congruent if they have two sides and the included angle of one equal respectively to the two sides and the included angle of the other. A, Given triangles ABC and AiBiCi, such that side... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...We shall now try to find other means of knowing. 30. Theorem V. Two triangles are congruent if they have two sides and the included angle of one equal respectively to the two sides and the included angle of the other. Given triangles ABC and AiBiCi, such that side a... | |
 | Education - 1917 - 786 pages
...through the theorem carefully, making certain that every word is thoroughly understood. If two triangles have two sides and the included angle of one 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... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...some indirect way. 442 SPHERICAL TRIANGLES PROPOSITION X. THEOREM 684. If two triangles, on the same or equal spheres, have two sides and the included angle of one equal to two sides and the included angle of the other, the triangles are either equal or symmetrical. CASE.... | |
 | 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... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...corresponding sides are equal and the corresponding angles are equal. § 23. Experiment. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal. § 25. Construction. To construct a triangle when the three... | |
 | High schools - 1918 - 378 pages
...through the theorem carefully, making certain that every word is thoroughly understood. If two triangles have two sides and the included angle of one 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 - 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, to two sides and the included angle of the other, the remaining pairs of corresponding parts are equal. If we could prove that this statement... | |
 | 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, to two sides and the included angle of the other, the remaining pairs of corresponding parts are equal. If we could prove that this statement... | |
 | William Ledley Vosburgh - 1919 - 332 pages
...overturning. These three statements are the postulates of motion. § 108. THEOREM I.* // two triangles have two sides and the included angle of one equal respectively to 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... | |
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