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" 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 line between the points of section. Let the straight line AB... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 92
by Robert Potts - 1876 - 403 pages
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...whole and that part. . . 9. If a straight line be divided into two equal and also two unequal parts; the squares on the two unequal parts are together...square on the line between the points of section. Same proposition. Divide a straight line into two parts so that the sum of their squares may be the...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...is a right angle. 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 the square on the line between the points of section. 3. The diagonals of a rhombus bisect each other...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...FE and ED is equal to the difference of the squares described on A and B. Proof. — Because FD is divided into two equal parts in the point C, and into two unequal parts in the point E, therefore the rectangle contained by FE and ED together with the square on CE is equal to the square...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...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...square on the line between the points of section. 5. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...is a right angle. 2. If a straight line be divided into two equal, and also intb two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 3. The diagonals of a rhombus bisect each other at right angles. ALGEBRA. The solution must in every...
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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
...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...the line and of the square on the line between the pointt of section. Let the straight line AB be divided into two equal parts at the point C, and into...
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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
...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...square on the line between the points of section. Let AB be a straight line divided into two equal parts in C, and into two unequal parts in D. Then it is...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 754 pages
...passes through 0. 3. If a straight line be divided into two equal and also 13 into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of tht w|uare on the line between the points of section. If a straight line AB be produced to D, and BD...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...the divided line. 3. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together...square on the line between the points of section. ALGEBRA. 1. Divide a - bx by a -I- ex to 4 terms. 2. Solve the equations — . ax = 3. The length and...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...sides are opposite. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 4. Any two angles of a triangle are together less than two right angles. 5. If a straight line be divided...
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