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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. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 53
by Euclides - 1841 - 351 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...contained by the segments of the base, is equal to the square on the perpendicular. SE 6 If a straight line be divided into two equal parts and also into two...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 first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...its parts answer to the description given of them in the enunciation. PBOPOSITION V. If a right line be divided into two equal parts, and also into two...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. For the construction...
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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
...of the base, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two...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 Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 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...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
...triangles and its area found. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two...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
...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...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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...about the diameter of a square are likewise squares. Proposition 5. — Theorem. If a straight line be divided into two equal parts, and also into two...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
...about the diameter of a square are likewise squares. PROPOSITION 5. — Theorem. If a straight line be divided into two equal parts, and also into two...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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...square on a line is four times the square on half the line. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into two...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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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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