 | George Albert Wentworth - 1884 - 264 pages
...twice the product of one of these sides and the projection of the other upon it. 163. Theorem. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection... | |
 | Euclides - 1884 - 434 pages
...that are divided internally or externally in medial section. In obtuse.angled triangles, the square on the side opposite the obtuse angle is equal to the sum of the squares on the other two sides increased by twice the rectangle contained by either of those sides... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...equivalents in the above equality ; then, ÂÏÏ = mi' + AT? - 2 B С XD С. PROPOSITION X. THEOREM. 336. In any obtuse triangle, the square of the side opposite the obtuse arCgle is equivalent to the sum of the squares of the other two sides increased by twice the product... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...CD2 + AD2 = AC2 : hence, AB3 = BC2 + AC2 - 2BCxCD; PROPOSITION XIII. THEOREM. In any obtuse-angled triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the base and the other side, increased by twice the rectangle of the base and the distance... | |
 | George Albert Wentworth - 1889 - 276 pages
...twice the product of one of these sides and the projection of the other upon it. 163. Theorem. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection... | |
 | George Albert Wentworth - 1889 - 264 pages
...twice the product of one of these sides and the projection of the other upon it. 163. Theorem. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...the tsvo numbers diminished by twice their product. Proposition 27. Theorem. 331. In an obtuse-angled triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of these sides by the projection... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...add the squares of the perpendicular, and then combine the terms by using Theorem 360 (a). 364. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice the product of one of those sides and the projection of... | |
 | 1891 - 644 pages
...that part together with the square on the other part. 6. In an obtuse-angled triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the other sides together with twice the rectangle contained by one of them and by the straight... | |
 | James Blaikie - 1892 - 74 pages
...[§384. Prove, by means of a geometrical construction, that in obtuse-angled triangles the square on the side opposite the obtuse angle is equal to the sum of the squares on the other two sides, together with twice the rectangle contained by either of these sides,... | |
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In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. c Hyp. In A abc, p is... 
