 | Euclides - 1864 - 448 pages
...parallelogram-BJ?CF. Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGHbz parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. Then the... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...value of 1L due 12 years hence, when money bears 4^ per cent, compound interest. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. other circle be described with centre C, chords of this latter which, produced if necessary, pa&s through... | |
 | Euclides - 1865 - 402 pages
...therefore the triangle ABC is equal to the triangle BBC. Wherefore, triangles, &c. QED PROP. XXXVIII.— THEOREM. Triangles upon equal bases and between the same parallels are equal to one another. (References — Prop. I. 31, 34, 36 ; ax. 7.) Let the triangles ABC, DEF, be on the equal bases BC,... | |
 | Euclides - 1865 - 80 pages
...also equal to EBCH; therefore the parallelogram ABCD is likewise equal to the parallelogram EFGH. Cor. Triangles upon equal bases and between the same parallels are equal to one another. For the diagonals AC, EG bisect the parallelograms, and therefore (Ax. 7) the triangle ABC is equal... | |
 | Robert Potts - 1865 - 528 pages
...EB CF. Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGIfbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. Then the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...EBCF. Wherefore, parallelograms on the same base &c. QBD PROPOSITION 36. THEOREM. Parallelograms on equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms on equal bases BC, FG, and between the same parallels AH, BG : the parallelogram... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...parts. Wherefore, the opposite aides &c. QED PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the parallelograms A BCD, EBCF be on the same base BC, and between the sameparallels AF,BC: the parallelogram... | |
 | Robert Potts - 1868 - 434 pages
...parallelogram-KBCR Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGHbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. ADEH Join... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...what is the amount of the bill? EUCLID AND ALGEBRA. 1. Bisect a given straight line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base.... | |
 | Thomas Fowler - Logic - 1870 - 372 pages
...which our deductive reasoning proceeds. The proposition proved in Euclid, Book i. Prop. 38, that ' Triangles upon equal bases, and between the same parallels, are equal to one another,' is derived from, or is the total result of, the previous deductions (i) that ' Parallelograms upon... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
