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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 117
by Charles Reiner - 1837 - 215 pages
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An Introduction to the Elements of Science

St. George Jackson Mivart - Science - 1894 - 412 pages
...represent one of the two parts into which the right line is divided and b to represent its other part, then the square of the whole line is equal to the squares of a and b together with twice the product of a and b, and this must be a2 + 2ab + b*, which, as we saw...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...>:—•;%-;••* •; 2:. as-y sw. arts, tb* •'. . •> • • V .•> , • .«* B. 5. (a) If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. II. 4. (6) Deduce II....
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...line be divided into any two parts the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. 7. To describe a square that shall be equal to a given rectilineal figure. If a square and an isosceles...
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Manual

1903 - 898 pages
...divided into any two parts, prove that the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. 6. Describe an isosceles triangle such that the square on the base may be equal to three times the...
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Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - Graphic statics - 1903 - 236 pages
...formula as true in the present case. It says, the square on a line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. This is of course Euc. II, iv. 16. It will be seen that all the theorems in the Second Book of Euclid...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1909 - 546 pages
...of that which has the greater angle is greater than the base of the other ? 4. If a straight line he divided into any two parts, the square of the whole...the squares of the two parts, together with twice their rectangle ? 5. Two chords of a circle which are not both diameters cannot bisect each other ?...
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The Concise Handbook of Algebra

Aleksandr Vasilʹevich Mikhalev - Mathematics - 2002 - 650 pages
...deals with the algebraic identity (a + b)2 = a2 + b2 + lab. It is formulated the following way: "If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts." The real precursor of...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...line so that the perpendiculars upon it from two other given points may be equal to each other. 4. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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United Service Magazine and Naval Military Journal, Volume 94, Page 3

Military art and science - 1860 - 722 pages
.... 10. Triangles upon the same base, and between the same parallels, are equal to each other. 11. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 12. The angle at the centre of a circle is double of the angle at the circumference, upon the same...
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