 | 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? Ш. 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... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...of the second. 3. Given. 4. If two triangles have two sides and the included angle of one triangle equal respectively to two sides and the included angle of the other, the triangles are congruent. 5. Given. 6. Because it is the only other possibility. NOTE. The preceding theorem is applied... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...second, then the third side of the first is greater than the third side of the second. 3. Given. 4. If two triangles have two sides and the included angle of one triangle equal respectively to two sides and the included angle of the other, the triangles are congruent.... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...triangles congruent: 1. By showing that they can be placed so as to coincide. 2. By showing that they have two sides and the included angle of one equal respectively to two sides and the included angle of the other. We have two ways of proving lines equal: 1. By showing that they can be made to coincide.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 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 result of this experiment can be stated as a theorem,... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...Two Sides and Included Angle 251. Theorem. If two triangles on the same sphere or on equal spheres have two sides and the included angle of one equal respectively to the corresponding parts of the other, the triangles are either congruent or symmetric. Given ABC and... | |
 | Winona Merle Perry - Geometry - 1925 - 80 pages
...equal respectively to two angles and the included side of the other. Two triangles are equal if they have two sides and the included angle of one equal respectively to two sides and the included angle of the other. Construction. If two right triangles have the hypotenuse and an acute angle of one equal... | |
 | Nels Johann Lennes - Mathematics - 1926 - 240 pages
...triangles are equal in all respects. and // in two triangles, two sides and the included angle of one are equal, respectively, to two sides and the included...the other, the triangles are equal in all respects. * It is easily verified as above that a similar statement for quadrilaterals would not be true. ART.... | |
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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. 
