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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 82
by Euclides - 1871
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 258 pages
...Can a rectangle always be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 5. Draw a straight...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...of the other. A complete demonstration is required. 4. 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 section, is equal to the square of half the line. Prove this also...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...contained by the segments of the base, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts...with the square on the line between the points of lection, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the sum of the squares on the other two sides. (I. 47.) 2. That if a line be divided into two equal, and also into two unequal parts, the rectangle contained...the unequal parts together with the square on the part between the points of section is equal to the square on half the line. (II. 5.) Let A be the given...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...diameter of it square, are likewise squares. ,7\ V. — 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 section, is equal to the square of half the line. Let AB be divided...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...the parallelograms about the diameter of a square are likewise squares. Proposition 5. — Theorem. If a straight line be divided into two equal parts,...parts, together with the square on the line between the pointg of section, is equal to the square on half the line. Let the straight line AB be bisected in...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...may be divided into triangles and its area found. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Illustrate the...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...half the square of a line is double the square of half the line. PBOP. V.— THEOREM. (Euc. II. 5.) If a straight line be divided into two equal parts,...two unequal parts, the rectangle contained by the two unequal parts, together with the square on the part between the points of section, is equal to...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...about the diameter of a square are likewise squares. Proposition 5. — Theorem. If a straight line l>e divided into two equal parts, and also into two unequal...rectangle contained by the unequal parts, together with t/ie square on the line between the points of section, is equal to the square on half t/ie line. Let...
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The Examination papers set for the preliminary examination of candidates for ...

Royal College of Surgeons of England - 1874 - 36 pages
...any triangle are together equal to two right angles. 7. 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 section, shall be equal to the square of half the line. 8. Describe...
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