 In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.  Elements of Plane Geometry - Σελίδα 137των Franklin Ibach - 1882 - 196 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | George Albert Wentworth - 1877 - 416 σελίδες
...opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. A Lot C be an acute angle of the triangle ABC, and DC the projection of AC upon B C. We are to prove... | |
 | George Albert Wentworth - 1877 - 426 σελίδες
...opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon thai side. Let С be ал acate angle of the triangle ABС, and D С the projection of AС upon B С.... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...XXIX. 70. In a triangle the square of the side opposite the obtuse angle is equivalent to the sum of the squares of the other two sides plus twice the product of one of these sides and the distance from the vertex of the obtuse angle to the foot of the perpendicular let... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...opposite the obtuse angle is equivalent to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other on that side. A Let С be the obtuse angle of the triangle ABC, and С D be the projection of A С... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...aide opposite the obtuse Z is cquivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of thе other on that side) ; and A~C* = STC* + AM* — 2MCX MD, §335 (in any Д the square on the side... | |
 | William Henry Harrison Phillips - 1878 - 236 σελίδες
...[acute'] angle is equal to the sum of the squares of the other two sides [,£jj twice the rectangle of one of those sides, and the projection of the other upon it. HYPOTH. In the triangles ABC, the angle ACB is obtuse in Fig, 1, and acute in Figs. 2 and 3 (produced)... | |
 | William Frothingham Bradbury - 1880 - 260 σελίδες
...obtuse-angled trianr/le the square of the side opposite the obtuse anyle is equivalent to the sum of the squares of the other two sides plus twice the product of one of these sides and the distance from the vertex of the obtuse angle to the foot of the perpendicular let... | |
 | George Albert Wentworth - 1881 - 266 σελίδες
...side opposite the obtuse Z is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of the other on that side) ; and ГC* ^ ЖТ? + AM* -2MCX MD, § 335 any A the square on the side opposite an acute... | |
 | George Albert Wentworth - 1882 - 268 σελίδες
...side opposite an acute Z is equivalent to the sum of the squares on the other two sides, diminished by twice the product of one of those sides and the projection of tlie other upon that side). Add these two equalities, and observe that BM = M С. . Then A~ff + AC?... | |
 | George Albert Wentworth - 1888 - 272 σελίδες
...the side opposite an acute Z is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side). Add these two equalities, and observe that BM= MC. Then IS + AC* = 2 BM* + 2 AM*. Subtract the second... | |
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