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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. "
Elements of Geometry and Conic Sections - Page 63
by Elias Loomis - 1857 - 226 pages
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1516 pages
...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 parts, together with twice the rectangle contained by the parts. The parallelograms about the diagonal of a square are also squares. Same proposition. If a straight...
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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 AR -...
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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 Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 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. 5. Describe a square that shall be equal to a given rectilineal figure. 6. Shew that the square on...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...another. 3. 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. 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, Volumes 3-4

1883 - 248 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. R. — Algebra. (Answer two Questions.) 1. Divide 5i/*+J ayO-ifta' y+| ay+{ a* by |3i2+3ay-f a....
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...a straight line be divided into 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 ; ' or, supposing the data to be two straight lines, the enunciation may be stated : ' The square on...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 292 pages
...rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C; then AB.AC+AB.CE=AB\ On- AB describe (I. 41) the square AE, and draw (I. 29) through C,...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 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. FAG -QEF THE PRACTICAL TEACHER. 2. To divide a given straight line into two parts, so that the rectangle...
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