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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 55
av Euclid, Robert Simson - 1821 - 516 sider
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...contained by the whole and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four...to the square of the straight line, which is made up of the whole and that part. PROP. IX. THEOREM. If a straight line be divided into two equal, and...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 sider
...AB, BC, together with the squares of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. If a straight line be divided into any two parts, four...equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half, and the part produced. 2. If a point be taken within a circle from which there tall...
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The English Journal of Education, Volum 4

1850
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. SECTION IV. 1. If two circles cut each other they shall not have...
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Papers for the schoolmaster, Volum 3

1867
...geometrically that the sum of the squares of two lines cannot be less than twice their rectangle. 3. If a straight line be divided into any two parts, four...other part, is equal to the square of the straight liue which is made up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If...
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Papers for the Schoolmaster, Volum 2

1852
...rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...other in this Proposition are equal to the two squares AE and kc added together.] PROP. VIII. THEOR. If a straight line be divided into any two parts, four...to the square of the straight line, which is made up of the whole and that part. [This Proposition may advantageously be omitted at the first time of...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOREM. If a straight line be divided into any two parts, four...equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...together with the square of AC. Wherefore, if a straight line, etc. QED PROPOSITION VIII. THEOR. If a straight line be divided into any two parts, four...to the square of the straight line, which is made of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...together with the square of a С. Wherefore, if a straight line, &c. QED PROPOSITION VIII. — THEOREM. If a straight line be divided into any two parts, four...equal to the square of the straight line which is made up of the whole and that part, LET the straight line ab be divided into any two parts in the point...
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