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" From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. "
Elements of Plane Geometry: For the Use of Schools - Page 61
by Nicholas Tillinghast - 1844 - 96 pages
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...(he different modes of computing logarithms? Which is the most convenient, and why ? 190. Show that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines diminished by twice the rectangle contained by the lines. Give the Algebraic...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1869 - 276 pages
...square described on any line is four times the square described on one half of it. THEOREM XXXVII. The square described on the difference of two lines is equivalent to the sum of the squares described on the two lines diminished by twice the rectangle contained by the lines. Let AB represent...
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - Educational tests and measurements - 1869 - 278 pages
...the different modes of computing logarithms? Which is the most convenient, and why ? 190. Show that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines diminished by twice the rectangle contained by the lines. Give the Algebraic...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...careful to give the construction fully, and show that the parts are rectangles, etc. FIG. 369. 666. The square described on the difference of two lines is equivalent to the sum of the squares on the lines, minus twice the rectangle of the lines. 667. The rectangle of the sum and difference...
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A Treatise on Special Or Elementary Geometry: In Four Parts ..., Part 3

Edward Olney - Geometry - 1872 - 96 pages
...SUG'S. — Be careful to give the construction fully, and show that the parts are rectangles, etc. 666. The square described on the difference of two lines is equivalent to the sum of the squares on the lines, minus twice the rectangle of the lines. 66 Y. The rectangle of the sum and difference...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...contained by any twp of the straight lines which are about one of the right angles. PROPOSITION IX. THEOREM. The square described on the difference of...two lines is equivalent to the sum of the squares of the lines, diminished by twice the rectangle contained by the lines. Let AB, BC be any two lines, and...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1880 - 452 pages
...any two of the straight lines which are about one of the right angles. PROPOSITION IX. THEOREM. (/ \f The square described on the difference of two lines is equivalent to the sum of the squares of the lines, diminished by twice the rectangle contained by the lines. Let AB, BC be any two lines, and...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...squares described on the two lines plus twice the rectangle of the lines. 3. Prove geometrically that the square described on the difference of two lines is equivalent to the sum of the squares described on the two lines minus twice the rectangle of the lines. 4. Prove geometrically that the...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...lines plus twice the rectangle having the lines for its dimensions. 16. The square constructed upon the difference of two lines is equivalent to the sum of the squares constructed upon the lines minus twice the rectangle having the lines for its dimensions. 18. If p...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 276 pages
...lines plus twice the rectangle having the lines for its dimensions. 16. The square constructed upon the difference of two lines is equivalent to the sum of the squares constructed upon the lines minus twice the rectangle having the lines for its dimensions. 18. If p...
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