| Euclides - 1841 - 378 pages
...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 - 320 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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.... | |
| Education - 1844 - 688 pages
...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... | |
| Great Britain. Council on Education - 1845 - 700 pages
...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... | |
| Euclides - 1845 - 544 pages
...are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a **side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let** ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
..., (AB + BC > AC, Similarly, { BC J AC > AB. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. **If from the ends of the side of a triangle, there...the triangle, but shall contain a greater angle. Let** ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the point D within the ^\; then... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...BD>BC; B'D = AB + AC, Prop. a. AB + AC> BC. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. **If from the ends of the side of a triangle, there...of the triangle, but shall contain a greater angle.** 1'rup. 5. Ax. 9. Prop. 18. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...greater than CA, and BC, CA greater than AB. SCHOLIUM. E 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.... | |
| Euclides - 1847 - 128 pages
...from two gn. pts. c, D, &c. — QEF PROP. XXI. THEOR. GEN. ENUN. — If, from the ends of one aide **of a triangle, there be drawn two straight lines to...of the triangle, but shall contain a greater angle.** PART. ENUN. — Let ABC be a A. From B, c, the extremities of the side BC, draw the st. lines BD, CD,... | |
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