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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
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The Elements of Geometry

Webster Wells - 1886 - 371 σελίδες
...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. T> D Let C be an acute angle of the triangle...

A Text-book of Geometry

George Albert Wentworth - 1888 - 386 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...sides and the projection of the other upon that side. D FiG. 1. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove...

A Text-book of Geometry

George Albert Wentworth - 1889 - 242 σελίδες
...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 otJier upon that side. A e Let C be the obtuse angle of the triangle ABC, and CD be the projection...

Wentworth & Hills's Exercise Manuals: Geometry, Τεύχος 3

George Albert Wentworth - 1889
...Theorem In a 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 of one of these sides and the projection of the other upon it. 163. Theorem. In an obtuse triangle the square...

Exercise Manuals, Τεύχος 3

George Albert Wentworth - 1889
...Theorem In a 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 of one of these sides and the projection of the other upon it. 163. Theorem. In an obtuse triangle the square...

A Text-book of Geometry

George Albert Wentworth - 1890 - 437 σελίδες
...MD, §342 (in any A the square of the side opposite an acute Z is equal to the sum of the squares of the other two sides diminished by twice the product...side). Add these two equalities, and observe that £M— MC. Then Al? + AC* = 2 BM * + 2 AM * . Subtract the second equality from the first. Then AI?...

The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 393 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 these sides by the projection of the other side upon it. Hyp. Let B be an acute Z of the A ABC, and...

Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - 1891 - 179 σελίδες
...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 the other upon that side. Sug. Form an equation by placing the projection of the side opposite the obtuse angle equal to the...

A Text-book of Geometry

George Albert Wentworth - 1892 - 437 σελίδες
...side opposite an acute angle is equal to the sum of the squares of the other two sides diminished Ity twice the product of one of those sides and the projection of the other upon that side. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove AB* = iR?...

A Text-book of Geometry

George Albert Wentworth - 1892 - 437 σελίδες
...acute angle is equal to the sum of the squares of the other two sides diminished by twice the produc.l of one of those sides and the projection of the other upon that side. A B D FIG. 1. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To...




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