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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

Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898
...Construct a triangle of equivalent area. 5. The square on the side opposite any acute angle of a triangle is equivalent to the sum of the squares on the other two sides diminished by twice the rectangle on one of those sides and the projection of the other upon it. JUNE 1891. Soi,ii>. 1. All...

Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 208 σελίδες
...Construct a triangle of equivalent area. 5. The square on the side opposite any acute angle of a triangle is equivalent to the sum of the squares on the other two sides diminished by twice the rectangle on one of those sides and the projection of the other upon it. JUNE 1891. 1. All perpendiculars...

A Graded Question Book: Examination Question from the Primaries to the High ...

F. J. Beck - 1899
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares of the two sides diminished by twice the product of one of...sides and the projection of the other upon that side. 6. To construct a square equivalent to the sum of any number of given squares. 7. If the number of...

Plane and Solid Geometry

William James Milne - 1899 - 384 σελίδες
...the side opposite an acute angle ; construct squares on the other two sides and also the rectangle of one of those sides and the projection of the other upon that side ; find the area of each figure constructed. How does the area of the first square com. pare with the...

Plane and Solid Geometry

George Albert Wentworth - 1899 - 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 % the projection of the other upon that side. D FIG. l. FIG. 2. Let C be an acute angle of the triangle...

Plane Geometry

William James Milne - 1899 - 242 σελίδες
...the side opposite the obtuse angle; construct squares on the other two sides and also the rectangle of one of those sides and the projection of the other upon that side produced ; find the area of each figure constructed. How does the area of the first square compare...

Plane Geometry

George Albert Wentworth - 1899 - 256 σελίδες
...In any triangle, the square of the side opposite an acute angle u 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. FH». 2. Let C be an acute angle of the triangle...

The Elements of Plane Geometry

Charles Austin Hobbs - 1899 - 240 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 of one of these sides and the projection of the other side upon it. CASE I. When the projection of the vertex...

Plane Geometry

Edward Brooks - 1901 - 266 σελίδες
...+ AC2. PROPOSITION XIII. — THEOREM. In any triangle the square on a side opposite an acute angle is equivalent to the sum of the squares on the other...sides and the projection of the other upon that side. Given. — Let ABC be any triangle, B an acute angle, and BD the projection of BC on AB. To Prove....

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...




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