 | George Darley - 1836 - 172 sider
...than BAC, by preceding ART. ; which it is not. Hence BA must be greater than BC. This, &c. ART. 43. Any two sides of a triangle are together greater than the third tide. In the triangle ABC, any two of its sides, as AB, BC, are together greater than the third side... | |
 | Charles Reiner - 1837 - 246 sider
...to the greater angle. 13. In every triangle the greater angle is subtended by the greater side. 14. Any two sides of a triangle are together greater than the third side. 15. The difference between any two sides of a triangle is less than the third side. 16. The three sides... | |
 | Euclid, James Thomson - 1837 - 410 sider
...is not equal toAB: therefore AC is greater than A B. Wherefore, if two angles, &c. PROP. XX. THEOR. ANY two sides of a triangle are together greater than the third side. 8 Let ABC be a triangle ; any two sides of it are together greater than the third side. Produce (I.... | |
 | Andrew Bell - 1837 - 290 sider
...has been shown that it is not equal to AB ; therefore AC is greater than AB. PROPOSITION XX. THEOREM. Any two sides of a triangle are together greater than the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side; namely, the sides... | |
 | Charles Reiner - 1837 - 254 sider
...of the preceding truths will guide you ? P.—" The greater side subtends the greater angle;" or, " any two sides of a triangle are together greater than the third." M.—If you adopt the former of these truths, how must you draw a line so as to find a relation between... | |
 | Euclides - 1837 - 112 sider
...AC cannot be = AB, 2. that AC cannot be < AB, 3. that :. AC must be > AB. PROPOSITION XX. Theorem. Any two sides of a triangle are together greater than the third. BC Steps of the Demonstration. 1. Prove that Z ADC = Z ACD, 2. that Z BCD > Z ACD, 3. that .'. DB >... | |
 | 1837 - 860 sider
...without knowing it — both theoretical and practical. A mathematician sits down to demonstrate that the two sides of a triangle are together greater than the third side ; whereas, without any of the diagrams, anil ABC's, and f/uo(l trat demonstrandus of Euclid, a poi... | |
 | 708 sider
...height of the fixed stars ? Is this what you really mean to assert to be as demonstrably true as that any two sides of a triangle are together greater than the third side ? Every mathematician would answer — it is : nay, more, that this very curve would carry a body from... | |
 | Thomas Holliday - 1838 - 404 sider
...perpendicular to the base. A scalene triangle has all its sides and angles unequal. See fig. 7. Note 1. Any two sides of a triangle are together greater than the third side. 2. The greatest side of every triangle is opposite the greatest angle; and the greatest angle is also... | |
 | Robert Simson - 1838 - 434 sider
...equal to AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. ANY two sides of a triangle are together greater than the third side. * Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides... | |
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Any two sides of a triangle are together greater than the third side. 
