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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 55
av John Playfair - 1819 - 333 sider
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...Section III. 1. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part. 2. If a straight line be divided into any two parts, the squares on the whole...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...III. THEOREM. If a straight line be divided into any two parts, the. rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect. AC, BC,...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 sider
...the line. 3. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts, together with the square on the aforesaid part 1G Same proposition. Divide a given line so that the rectangle contained by the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 sider
...III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts, together with the square on the aforesaid part. Let AB be a straight line divided into any two parts in C. Then it is to be...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 sider
...right angle. 7. If -a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle 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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...line lie divided into any ttco parts, the rectangle contained by tlie whole and one of the parts, u equal to the rectangle contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point C: the rectangle...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...a square. FK If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained...foresaid part. Let the straight line AB be divided into any two parts at the point C. The rectangle AB.BC is equal to the rectangle AC.CB, together with the...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 sider
...angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained...by the two parts, together with the square of the aforesaid part. 6. Prove that twice the bisector of the base of a triangle, drawn from the opposite...
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The Competitor, Volumer 3-4

1883 - 248 sider
...angle A. 2. If a straight line be diveded into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...III., THEOREM 3. If a straight line be divided into any two parts the rectangle contained by the whole and one of the parts is equal to the rectangle contained "by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at C. The rect. AB, BC...
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