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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.
Elements of Plane Geometry - Page 64
by Thomas Hunter - 1878 - 132 pages

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...called the rectangle ab, ac. Я PROPOSITION IV. — THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the straight...

Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...opposite, .-. / ACS = / BCD = a right angle. 44. PROP. XXII. If 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...

A treatise on algebra, in theory and practice

James William M'Gauley - 1854 - 284 pages
...represent the parts into which any right line is divided, it follows from the example sec. II, 45, that the square of the whole line is equal to the sum of the squares of the parts, plus twice the rectangle under each two of them, &c. 24. If the sum of the equal...

Report of twenty-one years' experience of the Dick bequest for elevating the ...

Allan Menzies - 1854 - 520 pages
...out the part of your demonstration in which it is evaded. 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. A modification...

Annual Report of the Normal, Model, and Common Schools in Upper Canada for ...

Upper Canada. Chief Superintendent of Schools - Education - 1854 - 196 pages
...7th, 27th, 32nd and 48th 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...

The Popular Educator, Volume 6

1855 - 424 pages
...and concise than in ordinary language. 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...

National Society's Monthly Paper

1855 - 264 pages
...two sides of a triangle 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 parts, together with twice the rectangle contained by the parts. 6. In every triangle,...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...its angles equal to a 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 parts, together with twice the rectangle contained by the two parts. 2. If a straight...