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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
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...JAB . CD. PEOP. II. — THEOREM. If a line (AB) be divided into any two parts (at C), the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the segments (AC, CB). Dem. — On AB describe the square ABDF [I. XLvI.], and through...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
.... CD. D B PEOP. II. — THEOREM. If a line (AB) be divided into any two parts (at C), the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the segments (AC, CB). Dem. — On AB describe the square ABDF [I. xLvJ.], and through...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1006 pages
...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
...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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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...of the second line. PROPOSITION 2. If a, straight line be divided into any two parts, the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts*. Let the straight line AB be divided into any two parts at the point C : it...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...lemma becomes, expressible in the form L = 2(Acos0). 3. PROPOSITION I. — The square on a two-part line is equal to the sum of the rectangles contained by the line and the projections upon it of its two parts, [sq. AB = rect. AB, AKcos^ + rect. AB, KBcos02]...
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Examinations Papers

1894 - 788 pages
...are equal in all respects. 4. If a straight line is divided into any number of parts the square on the whole line is equal to the sum of the rectangles contained by the whole line and the several parts. 5. If a straight line is divided into two parts the sum of the squares on the whole...
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An Introduction to the Elements of Science

St. George Jackson Mivart - Science - 1894 - 412 pages
...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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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...of the second line. PROPOSITION 2. If a straight line be divided into any two, parts, the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts*. Let the straight line AB be divided into any two parts at the point C : it...
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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
...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)...
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