 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...therefore also the parallelogram ABCD is equal to EFGH. PROPOSITION XXXVII. THEOREM. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC, be upon the same base BC and between the same parallels AD, BC ; the triangle... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...is equal (I. ax. 1.) to EG. Wherefore parallelograms, &c. PROP. XXXVII. THEOR.* TRIANGLES upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC ; ABC is... | |
 | Euclides - 1838 - 264 pages
...divides the parallelogram ACDB into two equal parts. QKD PROP. 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 base BC, and between the same parallels AF, BC :... | |
 | Thomas Holliday - Surveying - 1838 - 404 pages
...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 - 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
 | Education - 1843 - 582 pages
...are either two right 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... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...same point in the given line. GEOMETRY -3D CLASS. Define a parallelogram, and similar figures. Prove that parallelograms on the same base and between the same parallels are equal. The square on one side of a triangle is equal to the squares on the other two sides, what kind of a... | |
 | Education - 1844 - 688 pages
.... . II '. . JUNIOR MODERATOR AND SENIOR EXAMINER. [The Differential Calculut it not to be wed.] 1 . Parallelograms on the same base and between the same parallels are equal to one another. 2. From a given circle to cut off a segment containing an angle equal to a given rectilineal angle.... | |
 | Church schools - 1844 - 456 pages
...its central length is 21 f. 5 i. ; What is the quantity of wood in cubic yards ? 1843. GEOMETRY. 2. Parallelograms on the same base, and between the same parallels are equal. 3. If in a circle two chords eat one another, prove that the rectangle contained by the segments of... | |
| |
Parallelograms on the same base, and between the same parallels, are equal to one another. 
