 | Francis Joseph Grund - 1830 - 274 pagina’s
...that 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,... | |
 | Pierce Morton - 1830 - 584 pagina’s
.... AF the «ce» above tbe side В С, • ' t GEOMETRY. (с) Triangles which stand upon the same or upon equal bases, and between the same parallels, are equal to one another • . . . -17 (rf) Triangles which have equal altitudes are tourne another as their bases,... | |
 | Thomas Perronet Thompson - 1833 - 168 pagina’s
...universally, triangles 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... | |
 | Francis Joseph Grund - 1834 - 212 pagina’s
...all parallelograms, which have equal bases and heights, are equal to one another. 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,... | |
 | Euclid - 1835 - 540 pagina’s
...triangle ABC is equal 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,... | |
 | 1835 - 684 pagina’s
...the same base and altitude. PROP. 27. (Eue. i. 37, 38, 39, & 40.) Triangles upon the same base, or upon equal bases, and between the same parallels, are equal to one another : and conversely, equal triangles, upon the same base, or upon equal bases in the same straight... | |
 | 1836 - 488 pagina’s
...XXXVII. Triangles 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... | |
 | Andrew Bell - 1837 - 290 pagina’s
...equal (Ax. 7) ; therefore the triangle ABC is equal to the triangle DBC. PROPOSITION XXXVm. THEOREM. 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,... | |
 | Euclid, James Thomson - 1837 - 410 pagina’s
...therefore the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. 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,... | |
 | Euclides - 1838 - 264 pagina’s
...order, but that cannot be suppressed, because it helps to prove the general case. PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon eqnal bases BC EF, and between the same parallels BF, AD... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
