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" If a straight line be divided into any two parts, the square on the whole line is... "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Page 298
by Charles Hutton - 1825
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...are about the diameter or diagonal of any parallelogram, are equal to one another. 5. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together, with twice the rectangle contained by the parts. •6. Describe...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...pr, = (q + r)r, = area of reet. AC, CB + a re a ofsq. on CB . PROPOSITION 4. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let AB...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...to a given triangle, and have one of its angles equal to a given rectilineal angle. G. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 7. To divide...
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Prolusiones praemiis anniversariis dignatae et in auditorio recitatae ...

Harrow School - 1890 - 172 pages
...the given point to the given line. 3. Describe a square upon a given straight line. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. The angles...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...G)*+4 = (2S)3-r+2, given log10 5 = '6989700. II.— EUCLID AND TRIGONOMETRY. 1. Show that if a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. If the two...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...rectangle contained by the two parts, together with the square on the aforesaid part. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 5. If a...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...respectively, then AB = c and we have p (a + 1i + c.) =1 PROPOSITION 2. THEOREM. If a straight line is divided into any two parts, the square on the whole line is equal to the sum of the rectaruJles contained by the whole line and each of the parts. Let the straight line...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892 - 74 pages
...rectangles contained by the undivided line and the several parts of the divided line. 2. If a straight line be divided into any two parts, the square on the whole line shall be equal to the sum of the rectangles contained by the whole line and each of the parts. 3. If...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...the parts of the first line and each of the parts of the second line. PROPOSITION 2. If a, straight line be divided into any two parts, the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts*. Let the straight line AB be...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...between EF and EG. (Hint: Draw through E a line parallel to AB.) 3. Prove that if a straight line is divided into any two parts, the square on the whole line is equivalent to the sum of the squares on the two parts plus twice the rectangle contained by the two...
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