| John Playfair - 1806 - 320 pages
...Therefore any two sides, &c. QED PROP. XXI. THEOR. IF from the ends of one side of a triangle there N. " be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
| John Mason Good - 1813 - 714 pages
...XX. Theor. Any two sides of a triangle •re together greater than the third side. Prop. XXI. Theor. If, from the ends of the side of a triangle, there...less than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be... | |
| Euclides - 1816 - 592 pages
...greater than AB. Therefore any two sides, &c. QED ' PROP. XXI. THEOR. *«e jf.I*' from the ends.of the side of a triangle, there be drawn two straight lines to a point within the trir angle, these shall be less than the other two sides of the triangle, but shall contain a greater... | |
| John Playfair - 1819 - 348 pages
...CA greater than AB. Therefore any two sides, &c. QE D, E PROP. XXI. THEOR. If from ike ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
| John Mason Good - 1819 - 800 pages
...XX. Theor. Any two sides of a triangle are together greater than the third side. Prop. XXI. Ihcur. If. from the ends of the side of a triangle, there be drawn two straight lint; to a point within the triangle, the^e shall be le»! than the other two sides of the triangle,... | |
| John Playfair - 1819 - 354 pages
...BC, CA greater than AB. Therefore any two sides, &c. QED E PROP'. XXI. THEOR. y from the ends of one side of a triangle, there be drawn two straight lines to a point within tht triangle, these two lines shall be less than tin: other two sides of the triangle, but shall contain... | |
| Peter Nicholson - 1825 - 1058 pages
...than CA, and BC, CA greater than AB. Therefore any two sides, Sec. QED Propoíiíion. XX/. Theoren. If, from the ends of the side of a triangle, there...angle. Let the two straight lines BD, CD be drawn from Â, Ñ, the ends of the side BC of the triangle ABC, to the point D within it ; BD and DC are less... | |
| John Playfair - 1826 - 326 pages
...side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall eontain a greater angle. L'el the two straight lines BD, CD be drawn from B, C, the em's of the side... | |
| Robert Simson - 1827 - 546 pages
...are greater than CA, and BC, CA greater than AB. Therefore any two sides, &c. QE n. PROP. XXI. THEOR. If from the ends of the side of a triangle, there be drawn See N. two straight lines to a point 1cithin the triangle, these shall be less than the other two sides... | |
| Thomas Perronet Thompson - 1833 - 168 pages
...triangle. For if thoy did, there would be two of its sides together not greater than the third. THEOREM — If from the ends of the side of a triangle, there be drawn two straight lines to a point milhin the triangle, these See Note *hall together be less than the two sides of thejirst triangle,... | |
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