| Henry Sinclair Hall - 1908 - 286 pages
...one equal to one side of the other, are equal in all respects. 51 THEOREM 19. [Euc. I. 24.] If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the angle included by the two sides of one greater than the angle included by the corresponding... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...can introduce the necessary conditions into the enunciation, on the analogy of Eucl. vi. 7. If two **triangles have two sides of the one equal to two sides of the** other respectively, and the angles opposite to a pair of equal sides equal, then, if the angles opposite... | |
| Mathematics - 1909 - 605 pages
...polygon are produced in order, the sum of the angles so formed is equal to four right angles. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** also the angles contained by those sides equal, the triangles are congruent. If two triangles have... | |
| Joseph Gregory Horner - Engineering - 1909 - 560 pages
...less than the other two sides of the triangle but shall contain a greater angle. (Prop. 21.) If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
| University of Allahabad - 1909 - 638 pages
...polygon are produced in order the sum of the angles so formed is equal to four right angles. If two **triangles have two sides of the one equal to two sides of the** otber. each to each, and also the angles contained by these sides equal, the triangles are congruent.... | |
| Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...standing on the same base and between the same parallels are equal in area. Hence show that if two **triangles have two sides of the one equal to two sides of the** other and the contained angles supplemental, they are equal in area. 2. Any point, P, is taken on a... | |
| Trinity College (Dublin, Ireland) - 1909 - 546 pages
...cut off a segment which contains an angle equal to one-sixth of a right angle. Theoretical, 3. If two **triangles have two sides of the one equal to two sides of the** other, %ut the angles contained by those sides unequal, the base of that which has the greater angle... | |
| Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...diagonal is that which joins the vertices on either side of the greatest angle. 112. Theorem XI. // two **triangles have two sides of the one equal to two sides of the** other, but the third sides unequal, then the angles opposite those sides are unequal, the greater angle... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...of the other, and also any pair of corresponding sides equal, the triangles are congruent. 6. If two **triangles have two sides of the one equal to two sides of the** other, and also any pair of corresponding angles equal, the triangles are congruent in all cases except... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...the other, and also any pair of corresponding sides equal, the triangles are congruent. . 6. If two **triangles have two sides of the one equal to two sides of the** other, and also any pair of corresponding angles equal, the triangles are congruent in all cases except... | |
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