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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 39
av Euclides - 1834
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...shall be equal to the square on a given straight line greater than half A B. 1 See p. 235. Ex. 505. — If a straight line be divided into any two parts, the rectangle contained by the diagonals of the squares on the whole line and one of the parts is equal to twice the rectangle contained...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...contained by the whole and each of the parts are together equal to the square on the. whole line. 3. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. 4. If a straight line be divided into any two parts, the square on the whole...
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The Educational Record of the Province of Quebec: The Medium ..., Volum 11

1891
...9. If a straight line be divided into any two parts, then the rectangle .contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part. Prove this proposition. ALGEBRA (GRADE II. ACADEMY.) SECTION I. 1. Find the...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 sider
...follows, etc. Exercises, i. Parallelograms about the diagonals of a square are themselves squares. 2. If a straight line be divided into any two parts, the rectangle of the whole line and one of the parts is equal to the square of that part, together with the rectangle...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Bok 2

James Blaikie - 1892
...line shall be equal to the sum of the rectangles contained by the whole line and each of the parts. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the square on that part, together with the rectangle contained...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 sider
...BC, DC be equal to the squares on AB, AC respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 sider
...at 0, each = IL; .-., DE = E 0, and OH — HB (B. п., P. vIn.) ; and £^"and HG are Ds (P. Iv.). 2. If a straight line be divided into any two parts, the rectangle of the whole line and one of the parts equals the square of that part, together with rectangle of the...
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ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE

N. F. DUPUIS, M.A., F.R.S.C. - 1894
...the construction of 183° solves the problem, " To divide a given segment so that the rectangle on the whole and one of the parts is equal to the rectangle on the other part and the segment which is the sum of the whole and the first part." 11. Construct...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...BC, DC be equal to the squares on AB, AC respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...together equal to two right angles. 6 5. Prove Eue. I. 20, without producing a side of the triangle. 7 6. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained...
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