 | Robert Simson - Geometry - 1838 - 434 pages
...BCD, and the diameter BC divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the...to one another.* Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC ; the parallelogram ABCD shall be equal... | |
 | Thomas Holliday - Surveying - 1838 - 404 pages
...quadrilateral figure be equal, they will alto be parallel, and the figure will be a parallelogram. 3. Parallelograms upon the same base and between the same parallels are equal to one another. 4. A parallelogram is double the area of a triangle of the same base and altitude. See fig. 22, plate... | |
 | Euclides - 1838 - 264 pages
...rectangle AB • BC to the rectangle DE • EF. Draw AG, DH perpendicular to BC, EF respectively. Because parallelograms upon the same base and between the same parallels are equal, the parallelogram AC is equal to the rectangle AG-BC and the parallelogram DF to the rectangle DH-EF.... | |
 | Euclides - 1840 - 82 pages
...parallelogram are equal, and it is bisected or divided into two equal parts by a diagonal. PROP. XXXV. THEOR. Parallelograms upon the same base and between the same parallels are equal. c ED p PROP. XXXVI. THEOR. Parallelograms on equal bases and between the. same parallels, are equal.... | |
 | Euclides - Geometry - 1841 - 378 pages
...parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED PROP. XXXVII. THEOR. Triangles upon the same base, and between the same parallels, are equal to one another. BC, and between the same parallels AD, BC: the triangle ABC shall be equal to the triangle DBC. Produce... | |
 | Caricatures and cartoons - 1862 - 556 pages
...Nasty pig you are. You learn those ways at school, and nothing else. Master Bob. Don't I, Miss. Hee ! Parallelograms upon the same base and between the same parallels are equal to 9ne another, and equal triangles upon equal bases in the same straight lines, and towards the same... | |
 | 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 BC, and between... | |
 | 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 the... | |
 | 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... | |
 | Education - 1843 - 582 pages
...angles, or are together equal to two right angles. 2. Define a parallelogram. Parallelograms on the same base and between the same parallels are equal to one another. Shew that if any quadrilateral figure be bisected by both its diagonals it is a parallelogram. 3. To... | |
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PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another... 
