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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 117
by Charles Reiner - 1837 - 215 pages
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 70 pages
...arise from this source which maybe developed either numerically or geometrically ; such as that, if a line be divided into any two parts the square of the...together with twice the rectangle contained by the parts. This proposition is one of first consequence, as having furnished the key to the extraction of the...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...rectangle and a square. Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two...with twice the rectangle contained by the parts. The parallelograms about the diagonal of a square are also squares. Same proposition. If a straight line...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...yards. N. 0 1 2 3 4 5 6 7 8 9 Dif. 1905 2798950 9178 9406 9634 9862 o090 o317 o545 o773 Tool 228 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the parts and to twice the rectangle contained by the parts. Write down the corresponding algebraical...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1516 pages
...ⅠⅠ + ク 打 舟 + Ⅰ1 That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts, together with twice the product of the two parts. ( 1 @ ・ 7 ・ ) I よ tⅠhel ㎞ eABconta @ nⅠⅡⅡe 打 units ,...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...straight line be divided into any two parts, the square on the whole lime is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let AB be a straight line, divided into any two parts in C. Then it ie to be proved that The The i...
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(Report).

Elizabethan club - 1880 - 156 pages
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. Express this also algebraically. 5. Divide a line into two parts, so that the rectangle contained by...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...sides of a pentagon be produced to meet, the angles thus formed together equal two right angles. 5. If a straight line be divided into any two parts, the square of the whole line and of one of the parts are equal to twice the rectangle of the whole and that part together with the...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...expresses the distributive law in multiplication. . THEOREM II. 288. If a straight line be made up of two parts, the square of the whole line is equal to the sum of the squares of the tioo parts plus twice the rectangle contained by the parts. M 1 d b P ...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...equal sides be produced, the angles on the other side of the base shall be equal to one another. 3. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 4. If two triangles have two angles of the one equal to two angles of the other, each to each, and...
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