| Charles Reiner - 1837 - 215 páginas
...are about the diagonal of a square are, likewise, squares. 6. Parallelograms and triangles which are **upon the same base and between the same parallels are equal to** each other. 7. Parallelograms and triangles which are upon equal bases and between the same parallels... | |
| Euclides - 1838
...parallelogram ABCD is equalf to EFGH. Wherefore parallelograms, &c. Q. ).:. n. 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 : the triangle... | |
| Thomas Holliday - 1838 - 80 páginas
...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 - 1840
...Parallelograms on equal bases and between the. same parallels, are equal. DG _H a )•: PROP. XXXVII. THEOR. **Triangles upon the same base and between the same parallels, are equal.** BC__DP PROP. XXXVIII. THEOR. Triangles upon equal bases and between the same parallels, are equal.... | |
| Euclides - 1841 - 351 páginas
...therefore the 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... | |
| 1862
...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 - 1842 - 317 páginas
...equal to the same EBCH : Therefore also the parallelogram ABCD is equal to EFGH. 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 : The E... | |
| William Chambers, Robert Chambers - 1842
...to each other ; in proposition 37, the same fact is affirmed with respect to triangles, namely, that **triangles upon the same base and between the same parallels, are equal.** Propositions 36 and 38 are the converse of the preceding. The most celebrated, however, of the succeeding... | |
| 1843
...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... | |
| 1844
...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.... | |
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