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Prove that parallelograms on the same base and between the same parallels are equal in area.
Examination Papers for Science Schools and Classes - Page 23
by Great Britain. Education Department. Department of Science and Art - 1882

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

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...

Sessional Papers, Volume 22, Part 2

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....

Report of the Department of Education for the Year ...

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...

Special Reports on Educational Subjects, Volumes 6-7

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,...

A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

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...

Agnosticism

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...

Vectors and Rotors: With Applications

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...