 | Robert Simson - 1827 - 513 σελίδες
...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... | |
 | Euclid, Robert Simson - 1829 - 516 σελίδες
....Therefore any two sides, &c. QED PROP. XXI. THEOR. TF, from the ends of the side of a triangle, there he drawn two straight lines to a point within the triangle,...the triangle, but shall contain a greater angle.* Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,... | |
 | Thomas Perronet Thompson - 1833 - 150 σελίδες
...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,... | |
 | John Playfair - 1833 - 333 σελίδες
...Therefore any two sides, &c. QED PROP. XXI. THEOR. If from the ends of one side of a triangle, tJiere be drawn two straight lines to a point within the triangle, these two lines shall he less than the other two sides of the triangle, but shall contain a greater angle.... | |
 | Euclid - 1835 - 540 σελίδες
...of a triangle there be See N. drawn two straight lines to a point within the triangle, these sJiall be less than the other two sides of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC to... | |
 | Robert Simson - 1835 - 513 σελίδες
...of a triangle there be Sec N. drawn two straight lines to a point within the triangle, these sliall be less than the other two sides of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC to... | |
 | John Playfair - 1836 - 114 σελίδες
...is impossible ; and, therefore, ACB is not a right angle. Therefore, From, &c. QED PROP. XII. THEOR. If from the ends of the side of a triangle there be...be less than the other two sides of the triangle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,... | |
 | 1836 - 472 σελίδες
...Any two sides of a triangle are together greater than the third side. XXI. If from the 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.... | |
 | Euclides - 1837 - 112 σελίδες
...that similarly each of the other pairs of sides is > the remaining side. PROPOSITION XXI. Theorem. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. • Steps of the Demonstration. 1. Prove that BA + AC > BE + EC, 2. that BE + EC > CD + DB, 3. that... | |
 | Andrew Bell - 1837 - 240 σελίδες
...that the sides AB, BC, are greater than CA, and BC, CA, greater than AB. PROPOSITION XXI. THEOREM. If from the ends of the side of a triangle, there...straight lines to a point within the triangle, these two lines shall he less than the other two sides of the triangle, but shall contain a greater angle.... | |
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If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let... 
