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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ... - Side 23
av Association for the improvement of geometrical teaching - 1876 - 58 sider
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. If the solution is obtained by a quadratic equation...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 sider
...never less than twice their rectangle. 8.If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which u made...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet the rectangle contained by the whole line, and one of the parts, toe/ether with the square of the other part, is equal to the square of the straight line, which it...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 sider
...angles of a triangle are together less than two right 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...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 sider
...the sides and meeting the sides (produced if necessary). 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the rectangle contained by the two parts together with the square on the aforesaid...
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The Cambridge Examiner, Volum 2

1882 - 498 sider
...lines are also bisected in that point. 13. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts together with the square on the other part is equal to the square on the straight line which is made...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...whole square. — QED Proposition III. shows that a straight line AB, being divided at any point C, the rectangle contained by the whole line and one of the parts (rect. AB, BC) shall be equal to the square on that part (sq. on BC), together with the rectangle contained...
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The Competitor, Volumer 1-2

1882 - 486 sider
...twice the rectangle contained by the two parts. 5. Divide a given straight lite into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Divide a given ttraight line into two parts so that the...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 sider
....-. AB . AB (ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts will be equal to the square on that part together with the rectangle contained by the two parts. Let...
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