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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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The Practical Teacher, Volumen2

1883
...E ; show that OD = OE. 2. To divide a given straight line into two parts so that the difference of the squares on the whole line and on one of the parts may be equal to a given rectangle, which is not greater than the square on the whole line. 3. If a...
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Yale Examination Papers

F. B. Stevens - 1884 - 175 páginas
...given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. (LEGEND KE.) 1. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram....
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...Prop. I. 7. If a straight line is divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle...by the whole and that part together with the square of the other part : where is this proposition employed ? 8. Derive Prop. 8 from Props. 4 and 7. 9....
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...CD. VII. — 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...the whole and that part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...AB to meet AD in .//and BC in G; the triangles AGF, AEH&K together equal to the triangle ABC. tained by the whole and that part, together with the square on the other part. If AB be divided in C so that the square on AC is double the square on CB, the sum of AB and CB will...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...greater than the square on the third side, the triangle is acute-angled. ó. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. Enunciate any other proposition of the second book in which this theorem is used. 6. Draw from a given...
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The Practical Teacher, Volumen4

1885
...its angles equal to a given rectilineal angle. Euclid, Book I., Prop. 44. 2. If a straight line be divided into any two parts, the squares on the whole...twice the rectangle contained by the whole and that pan, together with the square on the other. Euclid, Book II.,Prop. 7. 3. To find a point at a given...
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THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...zab + b2 = 2a(a + &) + &*. By the commutative law, 2a(a + K) + <52 = 2(0 + £)a + &*, Therefore 105 rectangle contained by the whole and that part, together with the square on the other part. a> 300. By the commutative and distributive laws, and 294, 4(a + b)a -fb* = 4#2 + 40^ + b* = (2 a +...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volumen3

United States. Congress. Senate - 1880
...a straight line be divided into two parts, the squares of the whole line, and "f one of the parte, are equal to twice the rectangle contained by the whole and that I*"! together with the square of the other part. '• To draw a straight line from a given point, either...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886
...Section B. 27. Show that if a straight line be divided into any two parts, the squares on the ivhole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square on the other part. Let ABC be a triangle having a right...
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