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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... "
Elements of Geometry - Σελίδα 185
των George Albert Wentworth - 1882 - 250 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 σελίδες
...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, increased by twice the product of either of the sides containing the obtuse angle into the projection of the other side on the prolongation...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 472 σελίδες
...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, increased by twice the product of either of the sides containing the obtuse angle into the projection of the other side on the prolongation...

Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 σελίδες
...equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side. In the triangle ABC, the square on BC which is opposite the obtuse angle at B A, is equivalent to the...

Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 444 σελίδες
...equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side. In the triangle ABC, the square on BC which is opposite the obtuse angle at B A, is equivalent to the...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 σελίδες
...obtuse angled triangle, the square of the side opposite to 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 upon that side. Let C be the obtuse angle of the triangle...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 σελίδες
...obtuse angled triangle, the square of the side opposite to 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 upon that side. Let C be the obtuse angle of the triangle...

Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - 1873 - 288 σελίδες
...equivalent to the stim of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side. In the triangle ABC, the square on BC which is opposite the obtuse angle at B A, is equivalent to the...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 426 σελίδες
...ln any obtuse triangle, the square on the side opposite the obtuse angle is equivalent to the sum of the squares of the other two sides increased by twice...side. A Let С be the obtuse angle of the triangle ABС, and С 1) be the projection of AC upon B С produced. We are to prove AIi2 = BC2 + ATO2 + 2 B...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...any obtuse A the square on the side opposite the obtuse Z is equivalent to the sum of the squares on the other two sides increased by twice the product...sides and the projection of the other on that side) ; and A~& = 101?+ A'M^-ZMCX MD, §335 (in ami A the square mi the side opposite an acute Z is equivalent...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...any obtuse Л the square on the aide opposite the obtuse Z is cquivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of thе other on that side) ; and A~C* = STC* + AM* — 2MCX MD, §335 (in any Д the square on the side...




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