| Thomas Perronet Thompson - 1833 - 150 sider
...Wherefore, universally, triangles upon the same base, &c. Which was to be demonstrated. PROPOSITION **XXXVIII. THEOREM. — Triangles upon equal bases,...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 - 190 sider
...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, &c.,... | |
| Euclid - 1835 - 513 sider
...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, AD : The... | |
| 1835
...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 line,... | |
| 1836 - 472 sider
...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 parallels.... | |
| Andrew Bell - 1837 - 240 sider
...things are 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, AD ; the... | |
| Euclid, James Thomson - 1837 - 390 sider
...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, AD : ABC... | |
| Euclides - 1838
...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 : the triangle... | |
| Abraham Crocker - 1841
...will be the rhomboides. W For Practice. Note. Parallelograms constituted upon the same base (or on **equal bases), and between the same parallels, are equal to one another.** — EUCLID, I. 35. and 36. In every quadrilateral (or four-sided) figure, the four angles, taken together,... | |
| John Playfair - 1842 - 317 sider
...are equal (7. Ax.) ; therefore the triangle ABC is equal to the triangle DBC. 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... | |
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