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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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John Heywood's complete guide to the standard examinations, consisting of 24 ...

Alfonzo Gardiner - 1878
...product of two numbers is 15, and their difference is 2. Find the numbers. 7. If a straight line be divided into any two parts the squares on the whole...that part together with the square on the other part. 8. Express Propositions 5 and 6 Euclid, Bk. II., by algebra. 9. What is the diameter of a circular...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...square on C D. Therefore, if a straight line, etc. QED Proposition VII. Theorem. If a straight line be divided into any two parts, the squares on the whole...the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...x", =(a + x)*; that is, if a number be divided, &c.] PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. Let AB be divided into any two parts at C. Then the sqs. on AB, BC = twice rect. AB, BC together with sq....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...8. The greater side of every triangle has the greater angle opposite to it. 9. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 10. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 páginas
...straight line be divided into any two parti, (he squares on the whole line and on one of the parts arc equal to twice the rectangle contained by the whole...that part together with the square on the other part. 0 B IF 'H Let AB be divided into any two parts in C. Then must sqq. on AB, BC=twice red. AB, BC together...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 páginas
...line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole...that part together with the square on the other part. Same proposition. Prove this both geometrically and algebraically. Same proposition. Show that the...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 páginas
...line is equal to the squares of the two parts, together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe (I. 41) the square ABED ; join BD ; through C draw (I. 29) CF...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...shall be equal to the square on the other part. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be together double of the square on the other part. 4. The opposite angles of a quadrilateral...
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The student's guide to the University of Durham, with information respecting ...

1880 - 144 páginas
...contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the parts are equal...part, together with the square on the other part. 6. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...
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