 | John Playfair - Euclid's Elements - 1842 - 332 pages
...sum of any two adjacent angles of a parallelogram is equal to two right angles. PROP. XXXV. THEOR. Parallelograms upon the same base and between the same parallels, are equal to one another. (SEE THE 2d AND 3d FIGUREs.) Let the parallelograms ABCD, EBCF be upon the same base... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...whole number of square feet coutaiiied in the table, namely, 16. It is demonstrated by Euclid, that parallelograms upon the same base and between the same parallels are equal to each other ; from this it follows that the area of a rhombus and a rhomboid can be ascertained by... | |
 | Euclides - 1842 - 316 pages
...BCD, and the diameter вc divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the same parallels, are equal or equivalent to one another. Let the parallelograms ABCD, EBCF be upon the same base вc, and between... | |
 | William Carus Wilson - 1848 - 978 pages
...periods and under what circumstances the same eclipses return. WEDNESDAY, 13TH NOVEMBER. 1. Show that parallelograms upon the same base and between the same parallels are equal. 2. Explain the construction of the hydraulic ram. 3. In what time would an engine, working at 100 HP,... | |
 | Euclid - Geometry - 1845 - 218 pages
...parallelogram ACDB into two equal parts. QED BOOK I. PROP. XXXV. XXXVI. PROPOSITION XXXV. THEOR. — Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same See the 2nd base BC, and between... | |
 | Great Britain. Council on Education - 1845 - 696 pages
...periods and under what circumstances the same eclipses return. Wednesday, 13th Nov. 1844. 1. Show that parallelograms upon the same base and between the same parallels are equal. 2. Explain the construction of the hydraulic ram. 3. In what time would an engine, working at 100 II... | |
 | Robert Griffith Hatfield - Architecture - 1845 - 326 pages
...is equal to the parallelogram, B. a & « / Fig. 103. 145. — Proposition. Parallelograms standing upon the same base and between the same parallels, are equal. Let abed and efcd, (Fig. 103,) be given parallelograms, standing upon the same base, cd, and between the... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...NQ parallel to AC, MN may he proved in a similar manner to be equal to NO.* PROP. XXXV. THEOR. — Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF, (figs. 2 and 3) be upon the same base BC, and between... | |
 | Euclides - 1845 - 546 pages
...the diameter BC divides the parallelogram ACDB into two equal parts. QED PROPOSITION XXXV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels... | |
 | London univ - 1846 - 326 pages
...that all the exterior angles of any rectilineal figure are together equal to four right angles. 6. Parallelograms upon the same base and between the same parallels are equal to one another. 7. Show that the complements of the parallelograms which are about the diameter of... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
