 | 1873 - 192 σελίδες
...angle ? Why ? 2. To inscribe a circle in a given triangle. 3. Prove that two triangles are equal if the three sides of one are equal respectively to the three sides of the other. 4. Define Similar Polygons. 6. Prove that every equilateral polygon inscribed in a circle is regular.... | |
 | George Albert Wentworth - 1881 - 266 σελίδες
...coincide, and are equal in all respects. QED GEOMETRY. BOOK I. PROPOSITION XXV. THEOREM. 108. Two triangles are equal when the three sides of ; one are equal respectively to the three sides of the other. B B' In the triangles ABC and A' B' C', let AB = A' B', A С = A' C', BC=B' C'. We are to prove Л... | |
 | Webster Wells - 1886 - 392 σελίδες
...to a side and the homologous acute angle of the other. PROPOSITION XXI. THEOREM. 83. Two triangles are equal when the three sides of one are equal respectively to the three sides of the other. In the triangles ABC and DEF, let the side AB be equal to DE, BC to EF, and CA to FD. To prove that... | |
 | George Albert Wentworth - 1888 - 264 σελίδες
...perimeter, but greater than half the perimeter. PROPOSITION XXXIII. THEOREM. 160. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other. B JB' In the triangles ABC and A'B'C', let AB = A'B', AC^A'ff, BC= B'C'. To prove A ABC= A A'B'C'.... | |
 | Webster Wells - 1894 - 400 σελίδες
...(§413.) Whence, BB'C'C is a parallelogram, and BC = B'C'. Therefore, A ABC = A A' B'C'. [Two triangles are equal when the three sides of one are equal respectively to the three sides of the other.] (§69.) Whence, Z BAC = Z B'A'C'. [In equal figures, the homologous parts are equal.] (§ 66.) II. To prove... | |
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 σελίδες
...proportional to the adjacent sides. MASSACHUSETTS INSTITUTE OF TECHNOLOGY, June, 1892. 1. Two triangles are equal when the three sides of one are equal respectively to the three sides of the other. 2. In the same circle, or in equal circles, equal chords are equally distant from the centre. 3. If... | |
 | Webster Wells - 1894 - 400 σελίδες
...coincide throughout, and are equal. PROPOSITION XVII. THEOREM. 69. Two triangles are equal when tlie three sides of one are equal respectively to the three sides of the other. In the triangles ABC and DEF, let AB = DE, BC = EF, and CA = FD. To prove A ABC = A DEF. E Place the... | |
 | Webster Wells - 1894 - 400 σελίδες
...? which side is equal to BC? PROPOSITION XVII. THEOREM. 69. Two triangles are equal when the threc sides of one are equal respectively to the three sides of the other. In the triangles ABC and DEF, let AB = DE, BC = EF, and CA = FD. To prove A ABC = A DEF. Place the... | |
 | Joe Garner Estill - 1896 - 186 σελίδες
...vertices is less than the perimeter, but greater than half the perimeter. 2. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other. 3. Construct through a point, P, exterior to a circle, a secant PAB so that AB" 2 = PA x P B. of the... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 σελίδες
...adjacent angles of one are equal respectively to a side and the two adjacent angles of the other. III. If the three sides of one are equal respectively to the three sides of the other. Provided in each case that the parts given equal are arranged in opposite order in the two triangles.... | |
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... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if... 
