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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 Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...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, and also into 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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The Madras University Calendar, Volume 1

University of Madras - 1874 - 502 pages
...unequal parts, prove that 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. PART II. V. Divide a given straight line into two parts, so that the rectangle contained...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 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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Annual Report

1876 - 710 pages
...to a given triangle and having one of its angles equal to a rectilineal angle. 4. 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. ENGLISH GRAMMAR...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...base, is equal to the square on the perpendicular. SB * 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 park, together with the square on the line between the point* of section, is equal to the square on...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...the squares described on the sides which contain the right angle. SECTION IV. 1 . If a straight line be divided into two equal parts and also into two...unequal parts, the rectangle contained by the unequal Q parts together with the square on the line between the points of section, is equal to the square...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...numerically represented are 112,147, 84? SECTION III. 1. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together wit!» the square on the line between the points of section is equal to the square on h:ilf the line....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...exterior angle shall be greater than either of the interior opposite angles. 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. 7. In a circle...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...intercepted between the other equal angle and 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 section, is equal to the square on half the lint. Let AB be divided...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...AC and BC. .-. Angle ACB is an obtuse angle. SECTION IV. (Three questions.)—1. 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. At what point must...
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