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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. "
The Mechanic's Calculator; Comprehending Principles, Rules, and Tables in ... - Page 62
by William Grier - 1836 - 344 pages
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 68 pages
...arise from this source which maybe developed either numerically or geometrically ; such as that, if a 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. This proposition...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...2 3 4 5 6 7 8 9 Dif. 1905 2798950 9178 9406 9634 9862 o090 o317 o545 o773 Tool 228 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the parts and to twice the rectangle contained by the parts. Write down the corresponding...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...equal to a given square, and have its adjacent sides together equal to a given line. 7. If a straight line be divided into any two parts, the square of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part together...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...produced, the angles on the other side of the base shall be equal to one another. 3. 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. 4. If two triangles...
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The Competitor, Volumes 1-2

1882 - 486 pages
...the square on the hypotenuse is equal to the sum of the squares on the other two sides. 5. Prove that if a right line be divided into any two parts, the square on the whole line is equeA to the sum of the squares on the parts together with twice their rectangle....
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. IV. — 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 "tarts. *Let AB be...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...line. 4. Parallelograms which have equal bases and equal altitudes are equivalent. 5. If a straight line be divided into any two parts, the square of the whole line is equal (or equivalent) to the squares of the two parts, together with twice the rectangle contained by the...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...the other two sides of it, the angle contained by those two sides is a right angle. 5. 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. Female Candidates...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...other two sides of it, the angle contained by those two sides is ¡i right angle. 5. 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. Female Candidates...
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An Introduction to the Elements of Science

St. George Jackson Mivart - Science - 1894 - 452 pages
...proposition may be more conveniently treated algebraically. Thus, eg, there is one * which declares that if a right line be divided into any two parts, the square of the whole line is equal to the square of the two parts together with twice the product of those parts. Now evidently this is equivalent...
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