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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 - Σελίδα 186
των George Albert Wentworth - 1877 - 398 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδες
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute...

Plane Geometry

Arthur Schultze - 1901
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. Hyp. In A a&c, p is the projection of 6 upon c, and the angle opposite a is an acute...

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
...In any tnangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it- i Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute...

Elements of Plane Geometry

Alan Sanders - 1901 - 247 σελίδες
...any triangle the square of a 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 side upon it. M RB D Let ABC be a A in which BC lies opposite...

Biennial Report

1903
...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 these sides and the projection of the other side upon it. 7. Prove : The area of a regular polygon...

Elements of Plane and Solid Geometry

Alan Sanders - 1903 - 384 σελίδες
...any triangle the square of a 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 side upon it. B c Let ABC be a A in which BC lies opposite...

Plane and Solid Geometry

George Albert Wentworth - 1904 - 473 σελίδες
...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 by the projection of the other upon that side. D Fio. 1. Fio. 2. Let C be an acute angle of the triangle...

Plane Geometry

Fletcher Durell - 1904 - 372 σελίδες
...oblique triangle, tJie square of a 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 by the projection of the other side upon it. D Fig. 1 Eig.i Given acute /. C in A ABC, and DC the projection...

PLANE AND SOLID GEOMETRY

FLETCHER DURELL. PH.D. - 1911
...oblique triangle, tlie square of a 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 by the projection of the other side upon it. ADO Fig. 1 Given acute ZC in A ABC, and DC the projection...

Plane and Solid Geometry

Isaac Newton Failor - 1906 - 418 σελίδες
...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...one of those sides and the projection of the other side upon it. Fig. 1 Fig. 2 HYPOTHESIS. In the A ABC, the / B is acute, and BD is the projection of...