| Johann Georg Heck - Encyclopedias and dictionaries - 1851
...triangle abc, (fig. 14), ab is greater than ac, then is also /_ acb greater than £ abc, &c. 3. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** the included angle unequal, the third sides will be unequal, and the greater side will belong to the... | |
| 1851
...triangle abc, (fig. 14), ab is greater than ac, then is also / acb greater than £ abc, &c. 3. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** the included angle unequal, the third sides will be unequal, and the greater side will belong to the... | |
| Janet Taylor - Nautical astronomy - 1851 - 621 pages
...observed of the sides AC and CD, and the angles ABC, BAC. O..KD Theorem VI II. [Eu. i. 24.] If two **triangles have two sides of the one equal to two sides of the** otlwr, Lu1 the included angle of the one greater than the included angle of the oilier, (Inn the side... | |
| 1867
...also the third angle of the one equal to the third angle of the other. Construct two triangles which **have two sides of the one equal to two sides of the** other, and the angles equal which are opposite to the less of the two sides. Are such triangles necessarily... | |
| London univ - 1852
...From the greater of two given straight lines to cut off a part equal to the less. 3. Show that if two **triangles have two sides of the one equal to two sides...likewise the angles contained by those sides equal to** each other ; they shall likewise have their bases, or third sides, equal; and the two triangles shall... | |
| Euclides - 1852
...equal to BC ; and therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. XXV. **THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
| A. M. LEGENDRE - 1852
...been shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** the included angles unequal, the third sides will be unequal; and the greater side will belong to the... | |
| Euclides - 1853
...therefore also 6. BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOREM. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
| Euclides - Geometry - 1853 - 147 pages
...also b С is greater than ef Therefore, if two triangles, &c. QED PROPOSITION XXV. — THEOREM. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base oftlie Other; the angle also contained by the sides of... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' **have two sides of the one equal to two sides of the** other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
| |