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" 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. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 62
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight lino AB be divided into any two parts in C ; The square On AB shall be equal...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...difference. THEOREM XLVIII. If a line be divided into two parts, the square on the whole is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let А В be divided into two parts in С ; then the square on А В = the sum of the squares...
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Annual Report

1876 - 710 pages
...Book II. 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. FIRST DIVISION. GEOGRAPHY. 1. What are the motions of the earth? At what angle is the axis of the earth...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...III. 1. 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. The rectangle on the two parts can never exceed the square of half the line. 2. To describe a square...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...base. 9. 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. 19. In an obtuse angled triangle, is the sum of the sides containing the obtuse angle greater...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 pages
...III. If a straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts, together with twice the rectangle contained by the parts. _& s: nr JS Let the straight line PQ be divided into any two parts in C. Then shall the square...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...them. 1. 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. 1. Find the GCM of 2. Solve the equations — (1) (llz + 7 _ llw-2 (2) 23 + f (5a! -7 = (x +...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 pages
...angles. 3. 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. 4. Parallelograms upon equal bases and between the same parallels are equal to one another....
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 pages
...Section 3. 1. 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. The rectangle on the two parts can never exceed the square of half the line. 2. To describe a square...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...angles. 3. 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. 4. If two circles touch one another internally, the straight line which joins their centres, being...
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