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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: The Errors by which Theon, Or Others, Have Long ... - Side 46
av Robert Simson - 1827 - 513 sider
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...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 line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...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 line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...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. Let the straight line AB be bisected in C, and produced to D : the rectangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...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. Let the straight line AB be bisected in C, and produced to the point D...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...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. PROP. VII. THEOREM. If a straight line be divided into any two parts, the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...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. Let the straight line AB be bisected in c, and produced to the point D...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850 - 790 sider
...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 more than...
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The English Journal of Education, Volum 4

1850 - 488 sider
...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 the same...
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Papers for the schoolmaster, Volum 3

1867 - 336 sider
...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 times the rectangle...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 - 316 sider
...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 FROM...
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