 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...AD.DE+ADS and (Prop. XXIV.) AD DE = BD'DC, therefore PROPOSITION xxx. (Converse of Prop. XXIX.) If a line drawn from the vertex of any angle of a triangle divide the opposite side, so that the rectangle of the parts, together with the square of the dividing... | |
 | James Hayward - Geometry - 1829 - 228 pages
...these two equations, we have a 2 -|- & 2 zzz 2;?i 2 -)- 2 (•£• c) 2 ; that is—7/'« 7/;?c 6c drawn from the vertex of any angle of a triangle to the middle of the opposite side, twice the square of tins line, added to twice, the square of half this opposite... | |
 | Euclides - 1845 - 546 pages
...opposite angle. 23. The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square of half the side bisected and the rectangle contained... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...by those sides. 26. The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square on half the side bisected, and the rectangle contained... | |
 | Euclides - 1864 - 262 pages
...by those sides. 26. The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square on half the side bisected, and the rectangle contained... | |
 | Euclides - 1864 - 448 pages
...by those sides. 26. The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square on half the side bisected, and the rectangle contained... | |
 | Robert Potts - 1865 - 528 pages
...by those sides. 29. The square described on a straight line drawn from one of the angles at the base of a triangle, to the middle point of the opposite side, is equal to the sum or difference of the square on half the side bisected, and the rectangle contained... | |
 | Robert Potts - 1868 - 434 pages
...by those sides. 26. The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square on half the side bisected, and the rectangle contained... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...of two internal segments, or the difference of two external segments. 23. Corollary. If a straight line, drawn from the Vertex of any angle of a triangle to the opposite side, divides that side internally in the ratio of the other two sides, it is the bisector... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...if C becomes a right angle, both reduce to the same as the second equation in 28. 69i If a line is drawn from the vertex of any angle of a triangle to the middle of the opposite side, the sum of the squares of the other two sides is equivalent to twice the square... | |
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The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square... 
