 | 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 in mechanics... | |
 | 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.... | |
 | 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 angle of the other, the triangles are equal in all respects. * It is easily verified as above that a similar statement for quadrilaterals... | |
 | Michigan Schoolmasters' Club - Education - 1913 - 304 pages
...citizenship which is always needed and appreciated. The first theorem we have is : Two triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other are equal in all respects. The day it is assigned as the lesson I repeat it once and ask... | |
 | Nathalie Sinclair, William Higginson - Mathematics - 2007 - 288 pages
...even with respect to statements traditionally accepted as axioms. One is Side- Angle-Side (or SAS): If two triangles have two sides and the included angle of one of them that are congruent to two sides and the included angle of the other, then the triangles themselves... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...adjoining angles of one equal respectively to a side and the two adjoining angles of the other. sas, having two sides and the included angle of one equal respectively to two sides and the included angle of the other. sss, having three sides of one equal respectively to three sides of the other. rt. A,... | |
 | 356 pages
...angles = 2n right angles. . - . the exterior angles = four right angles. IDENTITY OF TRIANGLES VI. If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other they must be identical. Suppose we have to construct... | |
 | Education - 1904 - 530 pages
...center. Draw a curve line that has a center. What two figures have more than one center ? 49. Prove that if two triangles have two sides and the included angle of one, congruent to two sides and the included angle of the other, they can be place so as to have a center,... | |
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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. 
