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" If a 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 two parts. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 62
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...squares. 3. If a 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 those parts. SECTION IV. 1. If a straight line be divided into two equal and also into two unequal...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...triangle. 3. If a 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 those parts. [It may be assumed that parallelograms about the diameter of a square, are likewise squares.]...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...THEOR. If a straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts together with twice the rectangle contained by the two parts. Let AB be divided into any two ^ C .. parts at C. To prove AB2 = AC2 + CB2 + 2 rect. AC . CB. Describe...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...THEOREM. If a straight line be divided into any two parts, the tquare on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...2E. D. 2. If a 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. Euclid II., 4. 3. To divide a given straight line into two parts, so that the rectangle contained...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...THEOREM. If a 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. Let the st. line AB be divided into any two parts in C. Then must sq. on AB=sum of sqq. on AC,...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...9, 11? 5. If a 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 two parts. How must a straight line be divided into two parts, so that the rectangle contained by them may be...
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Transactions of the Asiatic Society of Japan, Volumes 13-15

Asiatic Society of Japan - Japan - 1885 - 856 pages
...theorem that if a straight line bo divided into two parts, the square on the whole line is eqnal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. In the arithmetical extraction of square root, the quantity is considered ns consisting of two...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...two right angles. 4. If a line be divided into two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. 5. The diagonal of a square is 6 feet, find its area. Solve the question and enunciate the geometrical...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...angles. 4. If a 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 two parts. 5. Make a triangle of which the sides shall be equal to three given straight lines, but any two whatever...
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