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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 on the line between the points of section, is equal to the square on half the line. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 61
by Euclides - 1838
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...to the square on the perpendicular. SE 6 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 on the line between the points of section, is equal to the square on half the line. JD K. S. Let the...
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The National Schoolmaster, Volumes 7-8

Schools - 1877 - 604 pages
...double of the square on the other. 2. 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 on. the line between the points of section, is equal to the square on half the line. Algebra. a'ly'z...
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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
...perpendicular. PROPOSITION V. THEOREM. 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 on the line between the points of lection, is equal to the square on half the line. Let the st. line...
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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 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 by 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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...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...section, is equal to the square of half the line. Let AB be divided into two equal parts in the point C, and into two unequal parts in the point D : then...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...(GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by...section, is equal to the square of half the line. Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet, and the...
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The Examination papers set for the preliminary examination of candidates for ...

Royal College of Surgeons of England - 1874 - 36 pages
...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...square of the line between the points of section, shall be equal to the square of half the line. 8. Describe a square that shall be equal to a given...
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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
...parts, together with the square on the part between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...likewise squares. Proposition 5. — Theorem. 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 on the line between the pointg of section, is equal to the square on half the line. Let the straight...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...likewise squares. PROPOSITION 5. — Theorem. 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 on the line between the points of section, is equal to the square on half the line. Let the straight...
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