| Seymour Eaton - 1899 - 362 pages
...therefor' the triangle ABC is equal to the triangle BCD (Proposition 4). PROPOSITION 35. THEOREM 323 **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 same parallels... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...opposite to the equal angles shall be equal to one another. .10. Define parallel straight lines and prove **that parallelograms on the same base and between the same parallels are equal** in area. 11. A square field contains 15 ac. 2 ro. 20 per.; find the length of a path crossing it diagonally.... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...opposite aides of the same base BC ; prove that ABDC is a parallelogram. 6. Define a parallelogram. Prove **that parallelograms on the same base and between the same parallels are equal** in area. Construct a rectangle equal to a given parallelogram. 7. The complements of the parallelograms... | |
| Great Britain. Board of Education - Education - 1900 - 906 pages
...opposite to the equal angles shall be equal to one another. 10. Define parallel straight lines and prove **that parallelograms on the same base and between the same parallels are equal** in area. 11. A square field contains 15 ac. 2 ro. 20 per. ; find the length of a path crossing it,... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...recognized system should be allowed, such, for example, as that given on page 11.] PROPOSITION 35. THEOREM. **Parallelograms on the same base, and between the same parallels, are equal** in area. DE FADEFAEDF Let the parallelograms ABCD, EBCF be on the same base BC, and between the same... | |
| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...when produced the quadrilaterals are equal in every respect. 3. Define parallel straight lines ; and **show that parallelograms on the same base and between the same parallels are equal** to one another. 4. Enunciate the proposition which is represented in algebraical symbols by and give... | |
| Robert Flint - Agnosticism - 1903 - 698 pages
...same 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... | |
| Olaus Henrici, George Charles Turner - Graphic statics - 1903 - 236 pages
...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... | |
| University of Sydney - 1903 - 662 pages
...Insert five harmonic means between 1 J and 3J. GEOMETRY AND MENSURATION. TWO HOURS AND A HALF. PASS. 1. **Parallelograms on the same base, and between the same parallels, are equal** to each other. 2. Shew how to bisect a given triangle ABC by a straight line drawn through a given... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...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... | |
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