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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Seite 41
von Euclides - 1816 - 528 Seiten
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 Seiten
...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 AR -...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1494 Seiten
...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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 Seiten
...line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C : the square on AB shall be equal to the squares on AC, CB, together with twice the...
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(Report).

Elizabethan club - 1880 - 156 Seiten
...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, Band 1

1881 - 504 Seiten
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 Seiten
...twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts at C. The square of AB is equal to the squares of AC and CB, together with twice the rectangle AC.CB. Upon AB describe the square AE (I.46). Join BD. Through...
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Elements of Geometry

Simon Newcomb - 1881 - 418 Seiten
...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.) - 1882 - 152 Seiten
...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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The Competitor, Bände 3-4

1883 - 248 Seiten
...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. R. — Algebra. (Answer two Questions.) 1. Divide 5i/*+J ayO-ifta' y»+| a»y+{ a* by |3i2+3ay-f a»....
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The Oxford examiner, ed. by M.W.I. Shilleto, Ausgaben 1-5

Mary W I. Shilleto - 1882 - 418 Seiten
...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. Divide a straight line into two parts so that the sum of their squares may be the least possible. 2....
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