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" IF a straight line be divided into any two parts, the 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... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 38
av Euclides - 1834
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 sider
...DE 52 GEOMETRY.— BOOK IT. Proposition 2. Theorem. — If a straight line be divided into any two parts, the rectangles contained by the whole and each...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, CF parallel...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...a triangle are together greater than the third side. 5. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. 6. ABO is a scalene triangle. At B the line BX is drawn, on the same side of BO as AB, making the angle...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882
...the sum of the squares described on its two diameters. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. The square on a straight line is equal to four times the square on half the line....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...times the sum of the squares on the two perpendiculars. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. State this algebraically. 5. The diameter is the greatest straight line in a circle....
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The Practical Teacher, Volum 1,Utgave 1

1882
...drawn through a given point in one of the sides. 2. If a straight line be divided into any two parís, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Algebra. 1. Prove the rule for finding the product of two fractions. ~ ., ла'а'-х"),...
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Class lessons on Euclid

Marianne Nops - 1882
...the ' square on the whole line ' is equal to ' the rectangle contained by the two given lines,' and ' the rectangles contained by the whole and each of the parts ' are the same as the ' rectangles contained by the undivided line and the several parts of the divided line.'...
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The Elements of Euclid: For the Use of Schools and Colleges; Comprising the ...

Euclid - 1883
...there be two straight lines &c. QED PROPOSITION 2. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square on the whole line. Let the straight line AB be divided into any two parts at the point C: the rectangle...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volum 4

Moffatt and Paige - 1883
...twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the noint C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with the...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...contained by A, BD, and by A, DE, and by A, EC. II. — If a straight line be divided into any two parts, the rectangles contained by the whole and each...together equal to the square of the whole line. Let AB be divided into any two parts in the point C ; then the rectangle contained by AB, BC, together...
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The Practical Teacher, Volum 3

1884
...the triangles ABC, DFE are equal in all respects. QED 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Prop, i, Bk. II. 3- To describe a square that shall be equal to a (riven rectilineal...
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