 | Olaus Henrici, George Charles Turner - 1903 - 236 ページ
...belonging to this multiplication is not a unique operation. The geometrical meaning of the theorem is : Parallelograms on the same base and between the same parallels are equal. Fig. 85. VECTORS AND ROTORS If the area and base are given, the other side may be any vector drawn... | |
 | Robert Flint - 1903 - 698 ページ
...kind of belief. Belief is a state of mind which has various stages. I may believe, for instance, that parallelograms on the same base and between the same parallels are equal to one another because I know that Euclid and other mathematicians say so, or because I have measured... | |
 | Euclid - 1904 - 488 ページ
...symbols will be introduced into the text : = for is equal to ; .: for therefore. PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal in area. A DE FADEFAEDF Let the parallelograms A BCD, EBCF be on the same base BC, and between the... | |
 | George Gabriel Stokes - 1905 - 412 ページ
...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 - 1905 - 522 ページ
...= ^—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... | |
 | George Gabriel Stokes - 1905 - 403 ページ
...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,... | |
 | Saskatchewan. Department of Education - 1906 - 188 ページ
...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,... | |
 | Trinity College (Dublin, Ireland) - 1907 - 536 ページ
...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... | |
 | David Mair - 1907 - 412 ページ
...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... | |
 | Elmer Adelbert Lyman - 1908 - 364 ページ
...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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Prove that parallelograms on the same base and between the same parallels are equal in area. 
