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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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...and H. 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 the two parts. If the sum of the rectangles is equal to the sum of the squares described on the parts, show that the...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 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 straight line AB be divided into any two parts in C. Then the square on AB shall be...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...triangle. QEF 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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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 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. For Proposition 1, see Euc. I. 45. Bisect a right angle by I. 9. For 2, see Euc. I. 46....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...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 part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe...
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(Report).

Elizabethan club - 1880 - 156 pages
...other. 4. If a straight line be divided into any 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. Express this also algebraically. 5. Divide a line into two parts, so that the rectangle contained...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 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 the two parts. 4. Equal straight lines in a circle are equally distant from the centre ; and those which are equally...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...angle. (vii.) 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. (viii.) To divide a given straight line into two parts, so that the rectangle contained by the whole...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 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 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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole lime is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let AB be a straight line, divided into any two parts in C. Then it ie to be proved that The...
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