 | John Playfair - Euclid's Elements - 1832 - 358 pages
...to the triangle DEC. Wherefore triangles, &.c. QED PROP. XXXVIII. THEOR. Triangles upon equal buses, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases EC, EF,and between the same parallels BF, AD : The triangle ABC is equal to the triangle DEF. Produce... | |
 | Robert Gibson - Surveying - 1832 - 290 pages
...parallelogram, AB will be = CD, and AD=BC. THEOREM XIII. PL. l.fig.3l All parallelograms on the same or equal bases and between the same parallels are equal to one another ; that is, if BD=GH, and the lines BH and AF are parallel, then &e parallelogram ABDC—BDFE—EFHG.... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...rectangle are parallelograms upon the same base and between the same parallels. THEOREM. — Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms ADEH upon equal bases BC, FG, and between the same parallels AH, BG. The... | |
 | Euclides - 1834 - 518 pages
...triangle ABC is equal to the triangle DBC. Wherefore, triangles, &c. p. ED PROPOSITION XXXVIII. THEOR. — Triangles upon equal bases, and between the same parallels,...between the same parallels BF, AD : the triangle ABC shall be equal to the triangle DEF. Produce t AD both ways to the points Q, H ; and through f 2 Post.... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...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
...&c. QED Book I. a 34. I. i. -•;;;, i. c3S. 1. a 31. 1. b 35. 1. PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram... | |
 | 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
...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.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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... | |
 | Euclides - 1838 - 264 pages
...parallelogram EBCF. Therefore parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, F6 and between the same parallels AH, BG: the parallelogram... | |
| |
Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
