| ...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... | |
| ...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.... | |
| 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... | |
| 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... | |
| ...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... | |
| Ravi Kumar - 2006 - 142 páginas
...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,... | |
| |