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" IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Side 58
av Euclides - 1841 - 351 sider
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...sides taken in order ; show that a, b, c, d, are the angular points of another parallelogram. 2. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the two unequal parts, together with the square of the line between the points...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 sider
...joining the middle points the diagonals. From (II. 9) Add and apply (II. 4, Cor. 2) and (II. 9). 6. If a straight line be divided into two equal, and also into two unequal, parts, the rectangle contained by the unequal parts, together with the square of the line between the points of...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...on BC is less than four times the square on AD, the triangle ABC is an acute-angled triangle. 3. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...Show how to describe a square that shall be equal to a given rectilineal figure. Deductions. 1. If a straight line be divided into two equal, and also into two unequal parts, the part between the points of section is •equal to half the difference of the unequal parts. 2. If the...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...-3010300 loglo 3 = -4771213 log,07 = -8450980 Iog10 1-627 = -2118930 TT = 3-1416. 1. If a straight line bo divided into two equal, and also into two unequal...square of the line between the points of section. Write down the corresponding algebraical formula. 2. The diameter is the greatest straight line in...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...right angle. Give a geometrical construction for a square three times as great as a given square. 4. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...combine these conclusions is the proof of the Proposition itself (as in 5). r PROP. IX. THEOREM. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts art together double of the square on half the line and of the square on the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...line made of AB and BC together. Wherefore, if a, straight line &c. QED PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...to the rectangle contained by the two parts, together with the square on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...alto into two unequal parts; the squaret of the two unequal parts are together double of the iquare oj half the line, and of the square of the line between the points ofiection. Let the straight line AB be divided into two equal parts at the point C and into two unequal...
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