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" IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 53
av Euclides - 1853
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Papers for teachers

1880
...by algebraical processes ? Give the formulas in algebra corresponding to Propositions 9 and 10. 2. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and...
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The student's guide to the University of Durham, with information respecting ...

1880 - 144 sider
...equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...Proposition with MN and 0, the given straight lines, MN being divided into parts in P, Q, and R. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the whole line and each of its parts are together equal, to the square on the...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...square on AB " is " sq. on AB," and for " the rectangle contained by AB and CD," " rect. AB, CD."] 1. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882
...either of the equal sides AB, AC ; prove that the rectangle BD, CD is equal to the rectangle AD, ED. 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole,...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...side subtending the right angle is equal to the squares on the sides containing the right angle. 4. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...right angle, and oblong. 2. The greater side of every triangle has the greater angle opposite to it. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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The Competitor, Volumer 1-2

1882
...them of the other ; the base of that which has the greater angle shall be greater than the other. 2. If a straight line be divided into any two parts, the squares on the whole line and on one of thepartsare equal to twice the rectanglecontained by the whole part,...
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The Practical Teacher, Volum 1,Utgave 1

1882
...the triangle CNK equal to the triangle ARC, and the triangle BMF equal to the triangle ARB, &c.) 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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Class lessons on Euclid

Marianne Nops - 1882
...made up of the whole and that part. 4 (Rect. AB, BC) with sq. on AC = sq. on sum of AB, BC. II. 7. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and...
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