 | Harvard University - Geometry - 1899 - 39 pages
...respectively equal to two sides and the included angle of the other, the triangles are equal. THEOREM II. If two triangles have a side and the two adjacent angles of one respectively equal to a side and the two adjacent angles of the other, the triangles are equal.... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...proposition ? 2. If the angles were equal, but AC greater than DF, where would F fall ? PROPOSITION V 43. If two triangles have a side and the two adjacent angles of the one equal, respectively, to a side and the two adjacent angles of the other, the triangles are identically equal*... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...themselves must do so, and the two triangles are proved to be equal in all respects. THEOREM XVIII. 78. If two triangles have a side and the two adjacent angles of the one equal respectively to a side and the two adjacent angles of the other, the two triangles are equal. In the... | |
 | George William Myers - Mathematics - 1909 - 390 pages
...coincide, any two triangles can be made to coincide if a side and two adjacent angles of one triangle are equal to a side and the two adjacent angles of the other. 290. THEOREM: If in two triangles a side and the two adjacent angles of the one are equal respectively... | |
 | Geometry, Plane - 1911 - 192 pages
...Prove that two triangles are equal when a side and the two adjacent angles of the one are respectively equal to a side and the two adjacent angles of the other. 2. Prove that an angle inscribed in a circle is measured by one half the arc intercepted between its... | |
 | Ray Harbaugh Dotterer - Logic - 1924 - 364 pages
...only one point. (Axiom.) 1. 1314.—Equals of the same are equal to each other. (Axiom.) 1.1315.—If two triangles have a side and the two adjacent angles...to a side and the two adjacent angles of the other, the two triangles are equal. 1.13151.—One figure may be applied to another. (Postulate.) 1.13152.—Two... | |
 | Mathematics - 1904 - 1000 pages
...other," and "Two triangles are equal if a side and the two adjacent angles of one are respectively equal to a side and the two adjacent angles of the other," the proof by superposition having been made clear by cutting out paper or cardboard figures to apply... | |
| |
FGH, have a side and the two adjacent angles of the one equal to a side and the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop. 
