| Eldred John Brooksmith - 1904 - 378 pages
...driven forward 4 ft. a day. How many cubic yards of earth are excavated in a day ? 2. Show that two **parallelograms on the same base and between the same parallels are equal** in area. As an illustration, draw on the squared paper a rectangle with base 2 ins. long and height... | |
| George Gabriel Stokes - Hydrodynamics - 1905 - 403 pages
...lie between 0 and 1, prove that ^ — — >ac. I — a 3. In the figure of Euclid, Book i. Prop. 35 **(Parallelograms on the same base and between the same parallels are equal),** if two diagonals be drawn to the two parallelograms respectively, one from each extremity of the base,... | |
| George Gabriel Stokes - Mathematics - 1905 - 412 pages
...x both lie between 0 and 1, prove that _ >x. 1 — o/ 3. In the figure of Euclid, Book I. Prop. 35 **(Parallelograms on the same base and between the same parallels are equal),** if two diagonals be drawn to the two parallelograms respectively, one from each extremity of the base,... | |
| J. W. Riley - Carpentry - 1905 - 522 pages
...= ^—f- = 13-93 = 139'3 cm. ; the area of the triangle in sq. dcm. = ^ = 111'44. Jf Triangles and **parallelograms on the same base and between the same parallels are equal** in area. Tims, in Fig. 157 the triangles ABC, DBC, and EBC, all being upon the same base BC and between... | |
| Saskatchewan. Department of Education - Education - 1906 - 188 pages
...points of any two sides of a triangle is parallel to the third side and equals the half of it. (d) As **parallelograms on the same base and between the same parallels are equal** in area (1.35) show how this proposition affords a means of measuring the area of a parallelogram,... | |
| David Mair - Mathematics - 1907 - 412 pages
...you like the position of this point, and give a geometrical proof of the above statement. 19. Prove **that parallelograms on the same base and between the same parallels are equal** in area. How could this be verified by means of a pack of cards or a pile of slates 1 From this illustration... | |
| Trinity College (Dublin, Ireland) - 1907 - 536 pages
...expected to make at least ONE of the abafe constructions. THEORETICAL GEOMETRY. 3. Prove that any two **parallelograms on the same base and between the same parallels are equal.** 4. State the axiom which you use in establishing the properties of parallel lines, and prove any proposition... | |
| Trinity College (Dublin, Ireland) - 1908 - 574 pages
...it, shorter than and parallel to one of its sides, construct a similar figure. Theoretical. 4. Trove **that parallelograms on the same base and between the same parallels are equal** in area. 5. In any triangle, prove that the square on the side opposite an acute angle is less than... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...The area of a rectangle is given by the product of the lengths of two adjacent sides 178 Ar.2. — **Parallelograms on the same base and between the same parallels are equal** in area (Euc. I. So) 184 Ar.3. — If a parallelogram and a triangle be on the same base and between... | |
| Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...proportional between the whole secant and its external segment. THEOREMS ON AREAS OF POLYGONS 383. **Parallelograms on the same base and between the same parallels are equal.** 385. The areas of two rectangles having equal altitudes are in the same ratio as their bases. 389.... | |
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