 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...problems, pp. 298 and 299.] PROPOSITION XXXVII. THEOREM 333. 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... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...3,2 = h 2 + x 2 + b 2 + 2bx. c 2 = a 2 _|_ £2 _|_ 2bx. That is, in an obtuse triangle, the square of the side opposite the obtuse angle, is equal to the sum of the squares of the sides forming the obtuse angle, increased by twice the product of one of these sides... | |
 | Nels Johann Lennes - Mathematics - 1926 - 240 pages
...of these sides and the projection of the other side upon it. 3. 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 these sides and the projection of the... | |
 | United States Naval Academy - 1914 - 110 pages
...b, hypotenuse c. (b) State and prove the proposition: "In any 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 plus . . . ." If the sides a and 6 include the angle C=135°, what is... | |
 | Euclid - 1845 - 336 pages
...angle BAD be 150°, the projection of AB on AD is'^- AB. a 166. PROP. 3. In an obtuse-angled triangle, the square on the side opposite the obtuse angle is equal to the sum of the squares on the sides containing that angle together with twice the rectangle contained by either of... | |
 | 130 pages
...perpendicular to BA produced, AN is the projection of AC on BA. 94. PROP. 3. In an obtuse-angled triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the sides containing that angle together with twice the rectangle contained by either of... | |
 | Mathematics - 1965 - 232 pages
...CA (iii) BC BA (iv) AP AC (v) AP BE (vi) (vii) BP BP BC AB Theorem 26. In an obtuse-angled triangle, the square on the side opposite the obtuse angle is equal to the sum of the squares on the sides containing it plus twice the rectangle contained by one of those sides and the... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...AB and the cosine of the angle B. PROPOSITION XXI. THEOREM 421. 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 tivice the product of one of those sides and the projection... | |
 | Military Academy, West Point - 906 pages
...and tangent to the two intersecting lines AB and CD. 10 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 aides, increased by twice the product of one of those sides aud the projection... | |
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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. 
