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" Parallelograms upon the same base and between the same parallels, are equal to one another. "
Elements of Plane Geometry - Page 57
by Thomas Hunter - 1878 - 132 pages
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...BCD, and the diameter BC divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. Parallelograms upon the same base and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF (see the 2d and 3d figures) be upon the same base...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 pages
...MENSURATION, AND TRIGONOMETRY. (Not more than one Question to be answered in each Section.) Section 1. 2. Parallelograms upon the same base, and between the same parallels, are equal. 1. When two straight lines intersect, the opposite anples are equal. . 3. J n an obtuse angled triangle,...
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An elementary course of practical mathematics, Part 2

James Elliot - 1851 - 152 pages
...a circle in it, and circumscribe a circle about it. PROPOSITION LVI. THEOREM. Parallelograms on the same Base and between the same Parallels are equal. Let the two parallelograms ABCD and CDEF stand on the same base CD, and have their sides opposite CD both in a line, AF, parallel to CD...
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Papers for the schoolmaster, Volumes 1-6

582 pages
...advantages the towns possess in being situated as they are. EUCLID AND MECHANICS. First Year Student*. 1. Parallelograms upon the same base and between the same parallels are equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line,...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...equal, the parallelogram is divided into two equal parts by the diagonal в c. WWD PBOP. XXXV. THEOB. Parallelograms upon the same base and between the same parallels, are equal. Let the parallelograms ABCDandEBCF, be on the same base в c, and between the same parallels AF and в c ;...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...same should, for the sake of practice, be proved with the accompanying figure.] AB PROP. XXXV. THEOK. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...diameter b С divides the parallelogram a С db into two equal parts. QED PROPOSITION XXXV. — THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. LET the parallelograms abСd, ebСf (see the second figure) be upon the same base b...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...BCD, and the diameter BC divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOREM. Parallelograms upon the same base and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF, be upon the same base BC, and between the same parallels...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...the diameter BC divides the parallellogram ACDB into two equal parts. QED PROPOSITION XXXV. THEOR. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, KBCF be upon the same base BC, and between the same parallels...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...the parallelogram ABCD shall be equal to the parallelogram EBCF. * EUCLID'S enunciation of this is ' Parallelograms upon the same base and between the same parallels are equal to one another'. By 4 base' is meant the side on which the parallelogram may be supposed to stand;...
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