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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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Pure mathematics, Volum 1

Edward Atkins - 1874
...parts is equal to the square on t/iat part, together with the rectangle contained by the two parts. Let the straight line AB be divided into any two parts in the point C; The rectangle AB • BC shall be equal to the square on BC, together with the rectangle AC • CB. CONSTRUCTION....
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...m=a + b + c, then mn=an + bn + cn. 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 tor/ether equal to the square on the whole line. j Let the straight line AB be divided into any ' •...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; The square on AB shall be equal to the squares on AC and CB, together with twice the rectangle...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 sider
...the whole and on the other part by twice the rectangle contained by the whole and that other part. Let the straight line AB be divided into any two parts in C. A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...other part, is equal to the square on the straight line which in made up of the whole and that part. Let the straight line AB be divided into any two parts in C, then shall four times the rectangle contained by AB and BC, together with the square oil AC, be...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...parallelogram bisect them, the parallelogram is a rhombus. 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. Give the corresponding result in algebra, 8. If a straight line be divided into...
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The Madras University Calendar, Volum 1

University of Madras - 1876
...straight line AB is trisected in K, G. V- If a straight line be divided into any two parts, prove that the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. PART II. VI. In obtuse-angled triangles, if a perpendicular be drawn from either...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...opposite angles, and O any point either within or without the rectangle — OA» + OC» = OB» + OD". 8. Let the straight line AB be divided into any two parts in tho point C. Bisect CB in D, and take a point E in AC such that EC = CD. Then shall AD2 = AE» + AC...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...PROPOSITION II. THEOREM. J/a straight lint be divided into any (too parti, the rectangles contained ty the whole and each of the parts, are together equal to the tquan an the whole line. ;oint C. at eonLet the straight line AB}m divided into any two part* in the...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...the whole and on the other part by twice the rectangle contained by tlie whole and that other part. Let the straight line AB be divided into any two parts in C. Then shall the square on AC be less than the squares on AB and BC by twice the rectangle AB, BC....
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