 | Edward Albert Bowser - 1890 - 420 σελίδες
...drawn: show that the triangle BAH is equal to the triangle DAH. 5. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles supplementary ; show that the triangles are equal in area. 6. ABCD is a parallelogram, and E, H are... | |
 | Edward Travers Dixon - 1891 - 180 σελίδες
...angle opposite to it would be the less (see above), whereas it is the greater. PROPOSITION XIII. If two triangles have two sides of the one respectively equal to two sides of the other, but the angle between the directions of those sides greater in the one triangle than in the other,... | |
 | James Andrew Blaikie, William Thomson - 1891 - 160 σελίδες
...triangle which has the greater contained angle shall be greater than the base of the other. 25. If two triangles have two sides of the one respectively equal to two sides of the other but the bases unequal, the angle contained by the two sides of the triangle which has the greater base... | |
 | Seth Thayer Stewart - 1891 - 428 σελίδες
...opposite these sides in the other, are equal in all their parts. (Same.) Corollary IV. Two triangles, with two sides of the one respectively equal to two sides of the other, the two angles opposite these sides, in each triangle, being both acute, or one acute and the other... | |
 | George Bruce Halsted - 1896 - 208 σελίδες
...third, that cutting the axis is the greater. Proof. BA = BC + CA' ; BC+ CA > BA'. 304. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
 | Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...be careful to give the authority for each step. 10 2. Under what conditions are two triangles, which have two sides of the one respectively equal to two sides of the other, equal to one another ? 14 3. Give the enunciation and construction of I. II. 14 4. Prove that the parallelograms... | |
 | William Chauvenet - 1893 - 340 σελίδες
...the triangle which has the greater included angle has the greater third side. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle.... | |
 | 1894 - 1136 σελίδες
...if he had 8 less of each he would only have 6 geese for 7 ducks. How many had he of each ? 7. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained • angles unequal, the base of the triangle which has the greater contained angle... | |
 | George Clinton Shutts - 1894 - 412 σελίδες
...to О N. RECTILINEAR FIGURES. PROPOSITION XL. 138. Theorem. // two triangles have two sides of one equal to two sides of the other and the included angles unequal, the remaining sides are unequal, and that side is the greater which is opposite the greater included angle.... | |
 | John Macnie - 1895 - 386 σελίδες
...BC to be the greatest side, and drawing AD perpendicular to BC. PROPOSITION XX. THEOREM. 90.. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the greater angle is subtended by a greater base. Given : Two triangles... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 
