Books Books 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 and Solid Geometry - Page 188
by George Albert Wentworth - 1877 - 398 pages ## The Elements of Plane and Spherical Trigonometry

John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 236 pages
...: tan КС + A). 53. Law of Cosines. The square on one side of any triangle is equal to the sum of the squares on the other two sides diminished by twice the product of these sides times the cosine of the angle between them. To prove a» - 6r + c2 - 26c cos A. ma. ; Similarly... ## The Elements of Plane and Spherical Trigonometry

...~ tan |(C + А)' 53. Law of Cosines. The square on one side of any triangle is equal to the sum of the squares on the other two sides diminished by twice the product of these sides times the cosine of the angle between them. To prove a2 = 61 + c2 — 2bc cos A. ELEMENTS... ## Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...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 these sides and the projection of the other side upon it. Ex. 726. If the sides of a triangle are 7,... ## College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...triangle the square on the side 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 these sides and the projection of the other upon that side. 4. Prove that regular polygons of the same... ## Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...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 those sides and the projection of the other upon it. FIG. 1 FIG. 2 Given, in the triangle ABC, that p is the projection of the side b upon the side... ## Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 pages
...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 those sides and the projection of the other iipon it. Given, in the triangle ABC, that p is the projection of the side b upon the side a, and that... ## Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...side opposite an obtuse angle of a triangle equals the sum of the squares of the two other sides plus twice the product of one of those sides and the projection of the other upon it. Given a A with sides a, b, c, side a being opposite an obtuse angle, and m being the projection... ## Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...side opposite an acute angle of a triangle equals the sum of the squares of the two other sides minus the product of one of those sides and the projection of the other upon it. Given a A with the sides a, b, c, side a being opposite an acute angle and m being the projection... ## Plane and Solid Geometry: Teacher's Edition

George Wentworth - Geometry - 1912 - 602 pages
...manner : In any triangle the square on the side opposite In any triangle the square on any side is equivalent to the sum of the squares on the other two sides diminished, if the side is opposite an acute angle, and increased, if the side is opposite an obtuse angle, by... 