 | University of Allahabad - 1907 - 528 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 these sides equal, the triangles are congruent. If two triangles have... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 444 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... | |
 | 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.... | |
 | 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... | |
| |
If two triangles have two sides of the one equal to two sides of the... 
