 | Francis Joseph Grund - 1830 - 274 páginas
...the magnitude of an angle does not depend upon the greatneii 12* 128 GEOMETRY. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. The area of a parallelogram is found by multiplying the basis given in rods, feet inches, &c. by... | |
 | Augustus De Morgan - 1831 - 108 páginas
...of one equal to two angles of the others, and the interjacent side equal, are equal in all respects. Parallelograms on the same or equal bases, and between the same parallels, are equal. The explanation of this is as follows : the whole proposition is divided into distinct assertions,... | |
 | Thomas Perronet Thompson - 1833 - 168 páginas
...upon the same base, &c. Which was to be demonstrated. PROPOSITION XXXVIII. THEOREM. — Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon c ADH equal bases BC, EF, and between the same parallels AD, BF.... | |
 | Francis Joseph Grund - 1834 - 202 páginas
...equal to a rectangle upon the same basis, and of the same height. (Truth I.) 2dly. Parallelograms upon equal bases, and between the same parallels, are equal to one another ; for if they are between the same parallels, their heights must be equal. (Query 11, Sect. I.) 3dly.... | |
 | 1835 - 684 páginas
...altitude . cor. 16 • From two Greek words, signifying " along one another.* (i) Parallelograms upon the same or equal bases, and between the same parallels, are equal to one another 16 (/.•) If a parallelogram and a triangle stand upon the same base, and between the same parallels,... | |
 | Euclid - 1835 - 540 páginas
...to the triangle d 7. Ax. DBC. Wherefore, " triangles," &c. QED PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The... | |
 | 1836 - 530 páginas
...equal to two angles of the others, and the interjacent side equal, are equal in all respects. /, g Parallelograms on the same or equal bases, and between the same parallels, are equal. The explanation of this is as follows : the whole proposition is divided into distinct assertions,... | |
 | Robert Mudie - 1836 - 542 páginas
...quantity. This, which is a very useful property, is usually cited in the words, " Parallelograms upon the same or equal bases, and between the same parallels, are equal to each other." But there is some objection to the words "between the same parallels," inasmuch as, to... | |
 | Robert Mudie - 1836 - 524 páginas
...quantity. This, which is a very useful property, is usually cited in the words, " Parallelograms upon the same or equal bases, and between the same parallels, are equal to each other." But there is some objection to the words " between the same parallels," inasmuch as, to... | |
 | 1836 - 488 páginas
...upon, the same base, and between the same parallels, are equal to one another. XXXVIII. Triangles upon equal bases, and between the same parallels, are equal to one another. XXXIX. Equal triangles upon the same base, and upon the same side of it, are between the same parallels.... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
