 | Robert Simson - 1838 - 434 σελίδες
...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...third side. * Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,... | |
 | Euclides - 1838 - 264 σελίδες
...' Wherefore the greater angle, &c. Q. un PROP. XX. THEOR. Any two sides of a triangle are toget/ier greater than the third side. Let ABC be a triangle : any two sides of it together shall be greater than the third side, viz. the sides BA, AC greater than the side BC ;... | |
 | Thomas Holliday - 1838 - 404 σελίδες
...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... | |
 | 708 σελίδες
...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... | |
 | 1839 - 92 σελίδες
...day passed on tolerably smoothly with one exception, that when the doctor (arguing very soundly that any two sides of a triangle are together greater than the third side) was taking a shorter cut across a field, his career was stopped about midway by his horse inserting... | |
 | Euclides - 1840 - 82 σελίδες
...or subtending the greater angle is greater than the side opposite the less angle. PROP. XX. THEOR. Any two sides of a triangle are together greater than the third side. COR..—Hence the difference between any two sides of a triangle is less than the third side. • '•'.>... | |
 | Euclides - 1841 - 378 σελίδες
...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...third side. Let ABC be a triangle: any two sides of it together shall be greater than the third side, viz. the sides BA, AC greater than the side BC; and... | |
 | John Playfair - 1842 - 332 σελίδες
...has been shewn that *-' it is not equal to AB ; therefore AC is greater than AB. PROP. XX. THEOR. • Any two sides of a triangle are together greater than...third side. Let ABC be a triangle ; any two sides of it together arc greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,... | |
 | Chambers W. and R., ltd - 1842 - 744 σελίδες
...A proposition is first stated in general terms : take, for instance, the 20th proposition — '• Any two sides of a triangle are together greater than the third side." This is but bare assertion : to advance a step farther, Euclid places the figure referred to, namely,... | |
 | Philip Kelland - 1843 - 168 σελίδες
...theorems of Euclid's first Element. I can compel your assent to the truth of the proposition, that " any two sides of a triangle are together greater than the third side ;" and this without requiring from you any notion of a straight line at all. But I must stop here.... | |
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Any two sides of a triangle are together greater than the third side. 
