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Books Bücher 1 - 10 von 17 in The rectangle contained by the sum and difference of two straight lines is equivalent...
" The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines. "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 58
von Sir John Leslie - 1817 - 432 Seiten
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 Seiten
...A. C 33 away twice the rectangle AB, PROP. XXIII. THEOR. The rectangle contained by the sum and the difference of two straight lines, is equivalent to...having made AG equal to AC, draw GH parallel to AD (I. 26.), and CI, DH parallel to AE. Because GK is equal to KC or HD, and EG is equal to CB or BD, the...
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Elements of arithmetic, algebra and geometry

George Lees - 1826 - 207 Seiten
...with the square of the difference of the lines. OF GEOMETRY. DEC K rt *• PROP. III. THEOREM. ..i — The rectangle contained by the sum and difference of two straight lines AB, and BC is equivalent to the difference of their squares. Or, (AB+BC).(AB— BC) = AB2 — BC2....
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Band 2

1844
...contained by these sides is 54°. Show how the remaining angles and side can be found. 1837. GEOMETRY. 2. The rectangle contained by the sum and difference of two straight lines is equal to the difference of their squares. 3. If the opposite angles of a four sided figure be equal,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 Seiten
...equivalent to the algebraical formula, (a — by = a2 — 2 ab + ¿>2. PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. FGI Let AB, В С be two lines ; then will the rectangle contained by the...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 Seiten
...equivalent to the algebraical formula, (a _ by = a* — 2 ab + b2. PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. FGI Let AB, BC be two Imes ; then will the rectangle contained by the sum...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 Seiten
...equivalent to the algebraical formula, (a — by = a2 — 2 ab + ft2. PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. FGI Let AB, BC be two lines ; then will the rectangle contained by the...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 320 Seiten
...equivalent to the algebraical formula, (a _ by = a2 — 2 ab + b*. y PROPOSITION X. — THEOREM. 235. The rectangle contained by the sum and difference...straight lines is equivalent to the difference of the squares of these lines. GI Let AB, BC be two lines ; then will the rectangle contained by the sum...
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Calendar for the Session: 1872-3

The Owens College - 1872
...state whether the construction is always possible. 6. Define a rectangle and a rhombus. Prove that the rectangle contained by the sum and difference of two straight lines is equal to the difference of the squares on those lines. DC is perpendicular to AB, and the square on...
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Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 Seiten
...described upon the two lines minus twice their rectangle. r' 4. Show, geometrically, that the rectangle of the sum and difference of two straight lines is equivalent to the diffеrence of the squares on those lines. €* PROPOSITION VIII. THEOREM. 378. If the number of sides...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 182 Seiten
...on AB and BC, there will be left the square ACDE. Ex. 4. Show, geometrically, that the rectangle of the sum and difference of two straight lines is equivalent to the difference of the squares on those lines. Let AB be the greater of two lines and AC the less. On AB describe the...
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