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" ... that triangles on the same base and between the same parallels are equal... "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 207
autor: Robert Gibson - 1806 - Liczba stron: 452
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a gemoetry for schools

...BDA F-rect. DAXC) = \ rect. BCXY. It follows that (i) The area of a triangle = £ base x height. (ii) Triangles on the same base and between the same parallels are equal in area. (iii) Equal triangles on the same base and the same side of it are between the same parallels....
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The Mathematical Gazette, Tom 2,Wydania 2-43

1904
...opinion of the speaker, should be given to boys as soon as they reach Euc. I. 35, 37 [parallelograms (triangles) on the same base, and between the same parallels, are equal to one another], and they then get for commensurable bases Euc. VI. 1 [triangles and parallelograms...
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New Approach to CBSE Mathematics IX

...ABCF)= Ar. (A BCE) + Ar.( quad. ABCF) => Area of square ABCD = Area of parallelogram ABEF Theorem 19.2 Triangles on the same base and between the same parallels are equal in area. Given : Triangles ABC and ABD on the same base AB and between the same parallels, AB parallel...
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Definitions and Formulae in Mathematics IX & X

Ravi Kumar - 2006 - Liczba stron: 142
...and PQ and between the same parallels, AQ and DR, then ar (||gm ABCD) = ar (||gm PQRS). Theorem 3. Triangles on the same base and between the same parallels are equal in area, ie, in two AABC and DBC on the same base BC and between the same parallel lines BC and AD,...
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Mathematics for The Services

...rectangle equal in area to the parallelogram and having for one of its diagonals the line AC. [Hint. Triangles on the same base and between the same parallels are equal in area.] 7. (a) If the base of a triangle is 2 in. and its altitude is 1 J in., state clearly what...
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School Certificate Mathematics

Liczba stron: 340
...depends only on its base and altitude. [Exercises 7 (a) and 7 (6) may now be taken.] Theorem 5 a. (i) Triangles on the same base and between the same parallels are equal in area. (ii) Conversely, if two triangles with equal areas stand on the same side of a common base,...
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Calendar

University of St. Andrews - 1899
...respectively, find the length of the radius of the inscribed circle. 16. Prove that parallelograms, and also triangles, on the same base and between the same parallels, are equal in area. L and M are two given parallel straight lines, and P and Q two given points. Show how to draw...
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