| Mary W I. Shilleto - 1882 - 418 pages
...students are advised not to confine themselves to one paper, but to make use of the whole set. (a) 1. **Parallelograms on the same base and between the same parallels are equal.** AOC is an isosceles triangle, of which A is the vertex : AB, AC are bisected in D & E respectively... | |
| Euclides - 1883 - 176 pages
...the figure is a parallelogram. On Equality of Area of certain Rectilineal Figures. PROP. 35. THEOR. **Parallelograms on the same base and between the same parallels are equal** to one another. Fie. 1. FIG. 2. Fio. 8. ADEADEFAED In Fig. 1, Let ABCD, DBCE be the parallelograms... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...4. and the diameter BG divides the parallelogram AGDB into two equal parts. PROPOSITION 85. THEOREM. **Parallelograms on the same base, and between the same parallels, are equal** to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the sameparallels... | |
| Mathematical association - 1883 - 86 pages
...difference of identically equal magnitudes are equal, although they may not be identically equal. THEOR. 1. **Parallelograms on the same base and between the same parallels are equal.** COR. 1. A parallelogram is equal to a rectangle, whose base and altitude are equal to those of the... | |
| Euclides - 1884 - 182 pages
...triangle ABC, cutting AB in D and AC in E, so that DE shall be equal to the sum of BD and CE. (14) 1 1 . **Show that parallelograms on the same base and between...right-angled at C ; draw CD at right angles to AB; in** CD take CE equal to BD, and in CA take CF equal to AD ; join AE and BF; and show that AE and BFsie... | |
| Euclides - 1884 - 434 pages
...16. Construct a triangle, having given the middle points of its three sides. PROPOSITION 35. THEOREM. **Parallelograms on the same base and between the same parallels are equal** in area. ADEFAEDF BO BO Let ABCD, EBCF be ||ms on the same base BC, and between the same parallels... | |
| Euclides - 1884 - 214 pages
...parallelogram ACDB. Therefore, the opposite sides &c. Proved. I. 4. E. r. PROPOSITION XXXV. THEOREM. **Parallelograms on the same base, and between the same parallels, are equal** to one another. GIVEN that the parallelograms ABCD and EBCF are on the same base BC, and between the... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...differences of identically equal magnitudes are equal, although they may not be identically equal. THEOR. I. **Parallelograms on the same base and between the same parallels are equal.** Let ABCD, EBCF be two parallelograms on the same base EC, and between the same parallels AF, BC : \*:... | |
| Mathematical association - 1884 - 146 pages
...differences of identically equal magnitudes are equal, although they may not be identically equal. THEOR. I. **Parallelograms on the same base and between the same parallels are equal.** Let ABCD, EBCF be two parallelograms on the same base EC, and between the same parallels AF, BC : then... | |
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