 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...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 AD, BF. The... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 202 pages
...4. The areas of 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 - 540 pages
...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 triangle... | |
 | Mathematics - 1835 - 684 pages
...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,... | |
 | Mathematics - 1836 - 488 pages
...Parallelograms upon the same base and between the same parallels, are equal to one another. XXXVI. Parallelograms upon equal bases, and between the same parallels, are equal to one another. XXXVII. Triangles upon, the same base, and between the same parallels, are equal to one another. XXXVIII.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...parallelogram AC is equal to the parallelogram BF.* Therefore parallelograms, &c. PROP. XXXVI. THEOR. PARALLELOGRAMS upon equal bases, and between the same parallels, are equal to one another. Let AC, EG be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 triangle... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...is, the he parallelogram EBCF. Therebase, &c. Q,. ED See the 2d and 3d figures. D PROP. XXXVI. THEOR. PARALLELOGRAMS upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH be pa- A rallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram... | |
 | Euclides - 1838 - 264 pages
...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... | |
 | Euclid - Geometry - 1838 - 470 pages
...triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels, are equal to one another. BOOK I. THE ELEMENTS OF EUCLID. B E between the same parallels BF, AD : the triangle ABC is equal to... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
