 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. Theorem : If two triangles have three sides of the one equal to the three sides of the other, each to each, they are equal in all their parts. AS Statement: Let the two triangles A CB and HFE have the side AC... | |
 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. Theorem : If two triangles have three sides of the one equal to the three sides of the other, each to cucli, they are equal in all their parts. Statement: Let the two triangles AC B and H FE have the side... | |
 | American fiction - 1895 - 540 pages
...he would a verse of poetry. Let us now consider another form of the proof. 282 The Sewanec Review. of the one equal to the three sides of the other,...each, therefore they are equal ; hence, the angle BCA, opposite the side AB, is equal to the angle CAE, opposite to the side EC; therefore (Prop. 25)... | |
 | Paul Henry Hanus - Geometry - 1893 - 76 pages
...three wires, he sees that three lines determine only one triangle, and hence that all triangles having the three sides of the one equal to the three sides of the other each to each are equal. In early instruction then the presentation of a new subject, and of each new phase of a... | |
 | George Cunningham Edwards - Geometry - 1895 - 324 pages
...substituted for another and may be made to occupy exactly Fio. 24. TRIANGLES. THEOREM. If two triangles have the three sides of the one equal to the three sides of the other, each to each, they are congruent. If the two triangles ( p) and (Vy) having : AB = DE, BC=DF, and AC = EF, be so... | |
 | Elias Loomis - Geometry - 1895 - 450 pages
...Therefore, if two triangles, etc. PROPOSITION XV. THEOREM. If two triangles have the three sides oftJie one equal to the three sides of the other, each to each, the three angles will also bc equal, each to each, and the triangles themselves will be equal. Let... | |
 | American fiction - 1896 - 564 pages
...proof. Mr. Venable's proof of the same proposition is about as follows : The two triangles BAG, ACE, have the three sides of the one equal to the three...each,, therefore they are equal ; hence, the angle BCA, opposite the side AB, is equal to the angle CAE, opposite to the side EC; therefore (Prop. 25)... | |
 | Frank H. Hall - Education - 1898 - 296 pages
...angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles... | |
 | Frank H. Hall - Arithmetic - 1898 - 332 pages
...angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles... | |
 | Frank H. Hall - Arithmetic - 1898 - 326 pages
...angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles... | |
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If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. 
