| John Playfair - Trigonometry - 1806 - 311 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, Olinthus Gilbert Gregory - 1813
...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 - 528 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 - Trigonometry - 1819 - 333 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, Olinthus Gilbert Gregory - 1819
...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 - 317 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 - Mathematics - 1825 - 372 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** В, С, the ends of the side BC of the triangle ABC, to the point D within it ; BD and DC are less... | |
| John Playfair - Euclid's Elements - 1826 - 320 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 - Trigonometry - 1827 - 513 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 - Euclid's Elements - 1833 - 150 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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