 | Charles Reiner - 1837 - 246 σελίδες
...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 - 264 σελίδες
...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 - 404 σελίδες
...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 - 82 σελίδες
...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 - 378 σελίδες
...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 - 556 σελίδες
...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 - 332 σελίδες
...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 - 938 σελίδες
...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 - 582 σελίδες
...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 - 688 σελίδες
...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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TRIANGLES upon the same base, and between the same parallels, are equal to one another. 
