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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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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...squares described on the other two, the angle contained by these two is a right angle. Prove this. 9. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the two parts. Give the proof. 10. Describe a square which shall be equal to a given rectilineal figure....
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Annual Calendar of McGill College and University, Montreal

McGill University - 1868 - 396 pages
...described on the sides. a. Find a square equal to the sum of any number of given squares. 2. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the rectangles under the whole and each of the parts. 3. The square of the side opposite an...
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A Short Hstory of of Greek Mathematics

James Gow - 380 pages
...learn the process from Euclid II. 4, where it is stated : 'If a straight lino be divided at any point, the square of the whole line is equal to the squares of both the segments together with twice the rectangle contained by the segments.' So, with a number like...
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Parliamentary Papers, Volume 16

Great Britain. Parliament. House of Commons - Great Britain - 1874 - 820 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. 4. If two circles touch one another internally they shall not have the same centre. 5. A segment of...
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Examination,Midsummer,1879

Education Department - 1879 - 1136 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. If the sum of two squares is equal to a third square, the sum of their sides must be greater than the...
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The Calendar of Owens college, Manchester

Manchester univ - 1877 - 544 pages
...a straight line be divided into 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. 4. Two circles cannot have more than two points common to both without coinciding entirely. If three...
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