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Teokset Teokset 1 - 10 / 54 haulle The sum of the squares of the diagonals of a parallelogram is equal to the sum of....
" The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its four Dem.— Let ABCD be the a. "
Vector Analysis: A Text-book for the Use of Students of Mathematics ... - Sivu 60
tekijä(t) Edwin Bidwell Wilson, Josiah Willard Gibbs - 1901 - 436 sivua
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Osa 3

Euclides - 1821
...CAE, .-. BC2 is less than DC2 by four rectangles under CA,AE or CA,AF. Cor. 2. Hence it is evident the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. PROP. 14. PROB. i To describe a square equal to a given rectilineal...

Report to the Trustees of the Dick Bequest for the Benefit of the ..., Nide 2

1844
...a semicircle is a right angle ; that in a greater segment less ; and that in a smaller greater. 2. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides. 3. Construct a parallelogram that shall be equal, both in area...

Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873
...Fay; ie (21. 3) abe sin С = ace sin B, or 6 sin C = с sin B ; ie ó : с : : sin B : sin С. Ex. 3. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. Retaining the notation and figure of Ex. 1, Art. 7, DA=a-ß; and,...

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

William Guy Peck - 1876 - 366 sivua
...by twice the square of the line drawn from the middle of the third side to the opposite vertex. 4°. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides. BOOK IV. 105 ties of one diagonal is equal to the sum of the squares...

Introduction to Quaternions: With Numerous Examples

Philip Kelland, Peter Guthrie Tait - 1882 - 232 sivua
...Fay; L e. (21. 3) abf sin C = act sin B, or b sin C = c sin B ; ie 6 : c :: sin A' ; sin C". Ex. 3. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. Retaining the notation and figure of Ex. 1, Art. 7, and, changing...

Linear Algebra

Hussein Tevfik (Pacha.) - 1882 - 68 sivua
...« ß' -+• ß a', which is not less important than the two preceding ones. 67. Examples. Ex. 1 . The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. с Let the side AB = <x, the side AD = ß, then (Arts. 15, 16)...

A Sequel to the First Six Books of the Elements of Euclid: Containing an ...

John Casey - 1882 - 158 sivua
...and the sum of the squares of the sides in magnitude, the locus of the vertex is a O. Prop. 3.—The sum of the squares of the diagonals of a parallelogram is equal to the B sum of the squares of its four Dem.—Let ABCD be the a. Draw CE || to BD ; A" produce AD to...

Introduction to Quaternions: With Numerous Examples

Philip Kelland, Peter Guthrie Tait - 1882 - 232 sivua
...ie (21.3) abe sin G = act sin B, or 6 sin C = c sin .B ; ie b : c : : sin B : sin C. Ex. 3. TAe swm of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. Retaining the notation and figure of Ex. 1, Art. 7, and, changing...

Dublin examination papers

Dublin city, univ - 1883
...so that the rectangle under BO and a given line DE shall be equal to the square of AC. 9. Prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its four sides. 10. Reduce 1 1 . Find the square root of and also the square...

Examination Papers

Queen's University (Kingston, Ont.) - 1886
...the sine. (i) Find в when 2 sin1 в + ^2 cos в = 2. 8. Obtain the formula a» =63+c2 -2bc cos в. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the four sides. 9. Define a plane — a ruled surface. The intersection of...




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