 | Andrew Bell - 1837 - 290 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.... | |
 | John Playfair - 1837 - 332 σελίδες
...than CA, and BC, CA greater than AB. SCHOLIUM. 23 E PROP. XXI. THEOR. If from, the ends of one si'le 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.... | |
 | Robert Simson - 1838 - 434 σελίδες
...greater than CA, and BC, CA greater than AB. Therefore any two sides, &c. Q,. ED PROP. XXI. THEOR. IF, from the ends of the side of a triangle, there...* Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC, to the point D within it ; BD and DC are less than... | |
 | Euclides - 1838 - 264 σελίδες
...lew than the third Mr.." and reason as follows: " For, since BA and AC are together PROP. XXI. THEOR. If from the ends of the side of a triangle there be...to a point within the triangle, these shall be less man the other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,... | |
 | Euclides - 1841 - 378 σελίδες
...are greater than CA, and BC, CA greater than AB. Therefore any two sides, &c. UED PROP. XXI. THEOR. If from the ends of the side of a triangle, there...be less than the other two sides of the triangle, out shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the... | |
 | Euclides - 1842 - 316 σελίδες
...are greater than CA, and вc, CA greater than AB. Therefore any two sides, &c. QED PROP. XXI. THEOR. IF from the ends of the side of a triangle there be...within the triangle, these shall be less than the two other sides of the triangle, but shall contain a greater angle. Let the two straight lines BD,... | |
 | John Playfair - 1842 - 332 σελίδες
...from B to C ; therefore BC is less than BA+AC or BA+AC>BC. PROP. XXI. THEOR. 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.... | |
 | 1844 - 688 σελίδες
...produced, the angles upon the other side of the base shall be equal. 3. If from the ends of the sides of a triangle there be drawn two straight lines to...of the triangle but shall contain a greater angle. 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves... | |
 | Euclid - 1845 - 218 σελίδες
...greater than CA, and BC, CA greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOB. — If from the ends of the side of a triangle, there...angle. Let the two straight lines BD. CD be drawn from B, C, the ends of the side BC of the triangle ABC, to the point D within it ; BD and DC are less than... | |
 | Great Britain. Council on Education - 1845 - 696 σελίδες
...equal to one another. 58."The greater side of every triangle is opposite to the greater angle. 59. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares... | |
| |
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... 
