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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 17
av W J. Dickinson - 1879 - 36 sider
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...THEOREM. If a straight line (AB) be divided into any two parts (А С, С В) the square of the wlak line is equal to the squares of the two parts, together with twice the rectangle contained by the parts : that is, А В1 = А С* + С Вг + twice А ОС В. * 46 I. Upon А В describe the square AE...
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Annual Report of the Normal, Model, and Common Schools in Upper Canada for ...

Upper Canada. Chief Superintendent of Schools - 1854
...prop, of the 1st book of Euclid. . 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 their rectangle. 4. If a straight line be divided into two equal and also into two unequal parts ;...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 sider
...a straight line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the two parts together with twice the rectangle* contained by the parts. QDEF. A rectangle is said to be contained by any two of its adjacent sides^."] * A rectangle has been...
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National Society's Monthly Paper

1855
...will be parallel to the third side' 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 6. In every triangle, the square of the side suhtending either of the acute angles is less than the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...becomes a square. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. Let the straig-ht line AB be divided into any two parts at С. square of AB is equal to the squares...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the two parts. 2. If a straight line be divided into two equal and also into two unequal parts ; the squares...
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The Popular Educator, Volum 6

1855
...The proposition, (Euclid 4, 2,) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by squaring a binomial. Let the side of a square be represented...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. Let the straight line AB (Fig. 39) be divided into any two parts in C. The square of AB is equal to...
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 sider
...together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...parallels, are .equal to each other. 7. If a right line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 8. Describe a square that shall be equal to a given rectilineal figure. 9. Find the centre of a given...
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