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" Prove that parallelograms on the same base and between the same parallels are equal in area. "
Examination Papers for Science Schools and Classes - Page 23
by Great Britain. Education Department. Department of Science and Art - 1882
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Sessional Papers, Volume 52, Issue 19

Canada - 1917 - 1134 pages
...the perimeter but greater than half the perimeter of the triangle. SESSIONAL PAPER No. 31 9. Prove that parallelograms on the same base and between the same parallels are equal in area. Hence prove that the area of a parallelogram is base x vertical height. Deduce the area of...
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The calendar of the University college of Wales

Wales univ, univ. coll. of Wales - 1878 - 188 pages
...of the sides. 6. Construct a triangle having given two angles and a side adjacent to both. 7. Prove that parallelograms on the same base and between the same parallels are equal to one another. 8. Prove that the opposite angles of a quadrilateral inscribed in a circle are supplementary....
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Geometry for Young Beginners

156 pages
...SECTION 16. To prove that the area of a parallelogram is equal to that of a certain oblong. To prove that parallelograms on the same base and between the same parallels are equal. To prove that the area of a triangle is equal to half the area of an oblong on an equal base and of...
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Calendar

University of St. Andrews - 1898 - 610 pages
...TRIGONOMETRY. (Not more than seven questions in Geometry and five in Trigonometry to be attempted.) 1. Prove that parallelograms on the same base and between the same parallels are equal in area, and hence show that a similar proposition is true of triangles. Construct a rectilineal figure...
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The New Geometry: Form One

G. P. West - Geometry - 1965 - 364 pages
...is unaltered and so are the base and height ; from this we deduce a theorem analogous to the theorem that parallelograms on the same base and between the same parallels are equal in area. Parallelepipeds on equal bases and of the same height are equal in volume. Similarly if we...
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A Shorter Geometry

464 pages
...angle ABC double of the angle BAC ; find the number of degrees in the angles ABC and BAC. 5. Prove that parallelograms on the same base and between the same parallels are equal to one another. OXFORD LOCAL EXAMINATIONS. JULY, 1911. PRELIMINARY EXAMINATION. HIGHER GEOMETRY. (1...
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Calendar

University of St. Andrews - 1904 - 790 pages
...ACE are equal, and the angles CAE and ABD are also equal, then shall ADE be an isosclea triangle. 15. Parallelograms on the same base, and between the same parallels, are equal to one another in area ; and are each double of any triangle on the same base and between the same...
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Challenge and Thrill of Pre-College Mathematics

V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...perpendiculars from A to B/ and C/. Prove that XY is parallel to BC. 3.5 SIMILAR TRIANGLES Theorem 27 Parallelograms on the same base and between the same parallels are equal in area. Proof Let ABCD and ABXY be two parallelograms having the same base AB and lying between the...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 18

1874 - 748 pages
...straight line perpendicular to a given straight Jine of unlimited length from a given point without it. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. If a straight line be bisected, and produced to any point, the rectangle contained...
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Journal of the Statistical Society of London, Volume 8

Royal Statistical Society (Great Britain) - Great Britain - 1845 - 786 pages
...are either two right angles, or are together equal to two right angles. 2. Define a parallelogram. Parallelograms on the same base and between the same parallels are equal to one another. Show that if any quadrilateral figure be bisected by both its diagonals it is a parallelogram....
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