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" THEOR. //' 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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 74
των John Playfair - 1836 - 311 σελίδες
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 σελίδες
...added together in one straight line. Therefore, if a straight line, etc. QED Proposition IX. 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...

Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 σελίδες
...E. That is, square on semi-diameter is half of the whole square. SECTION IV. (Three Questions.) 1. 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...

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

Edward Harri Mathews - 1879 - 94 σελίδες
...the 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...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 σελίδες
...14. 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...

Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 σελίδες
...square 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...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...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...

Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 σελίδες
...-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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...the 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...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...To 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...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...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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