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" The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side. "
Essentials of Solid Geometry - Σελίδα 15
των David Eugene Smith - 1924 - 238 σελίδες
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839
...three angles of any triangle taken together are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their sum and difference. The sides of a triangle are proportional to the sines of their...

PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...are given (BI, T. XXXV., S.). THEOREM XvH. In any triangle, the sum of the squares of any two sides is equal to twice the square of half the third side, increased by twice the square of the line drawn from the middle of this third side to the opposite angle. c If CD is drawn bisecting AB,...

The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - 1859 - 354 σελίδες
...three angles of any triangle, taken together, are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their sum, and difference. The sides of a triangle are proportional to the sines of...

ELEMENTS OF GEOMETRY AND TRIGONOMETRY

CHARLES DAVIES, LL.D. - 1863
...PROPOSITION XIV. THEOREM. In any triangle, the sum of the squares described on two sides is eqital to twice the square of half the third side, increased by twice the square of the line drawn from the middle point of that side to the vertex of the opposite, angle. Let ABC be any...

Elements of geometry, with ... trigonometry

André Darré - 1872
...are related to each other as the squares of the contiguous sides. 19. The sum of the squares of any two sides of a triangle is equal to twice the square of the line drawn from the vertex of the angle which the sides contain to the middle point of the opposite...

Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1874 - 455 σελίδες
...third side. PROPOSITION XIV. THEOREM. In any triangle, the sum of the squares described on two sides is equal to twice the square of half the third side increased by twice the square of the line drawn from the middle point of that s'ide to the vertex of the opposite angle. Let ABC be any...

Euclid simplified, compiled from the most important French works

John Reynell Morell - 1875 - 16 σελίδες
...coincides with the middle of the straight line which joins the two fixed points. 109. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the medial line of this last side on its direction....

Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 366 σελίδες
...rectangle of the sum and the difference of two lines is equal to the difference of their squares. 3°. The sum of the squares of two sides of a triangle...twice the square of half the third side, increased ly twice the square of the line drawn from the middle of the third side to the opposite vertex. 4°....

Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 366 σελίδες
...rectangle of the sum and the difference of two lines is equal to the difference of their squares. 3°. The sum of the squares of two sides of a triangle is equal to twice the square of the third side, increased by twice the square of the line drawn from the middle of the third side to...

An Elementary Manual of Coordinate Geometry and Conic Sections

James White - 1878 - 148 σελίδες
...equal to the rectangle under the sum and difference of the segments. VII. The sum of the squares of the sides of a triangle is equal to twice the square of half the base together with twice the square of the straight line joining the middle point of the base with...




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