| Janet Taylor - 1851 - 702 Seiten
...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 - 336 Seiten
...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 of the other, each to each ; and have likewise** the angles contained by those sides equal to each other ; they shall likewise have their bases, or... | |
| 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... | |
| Adrien Marie Legendre - 1852 - 436 Seiten
...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 - 146 Seiten
...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 - 1853 - 176 Seiten
...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... | |
| Euclid, John Playfair - 1853 - 317 Seiten
...another.^PROP. VIII. THEOR. If two triangles have two sides of the one equal to two sides of the othet **each to each, and have likewise their bases equal ; the angle which is** contain ed by the two sides of the one shall be equal to the angle contained by the twosides of the... | |
| Thomas Lund - 1854 - 192 Seiten
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two **triangles have two sides of the' one equal to two...sides of the other, each to each, and have likewise** the angles formed by those sides equal to one another, they shall also have their bases, or third sides,... | |
| Horatio Nelson Robinson - 1854 - 350 Seiten
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be equal.... | |
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