| Robert Gibson - Surveying - 1821 - 604 pages
...parallelogram, AB will be = CD and AD ~ BC. THEO. XIII. PL. I. Jig. 31. All parallelograma on the same or **equal bases and between the same parallels, are equal to one another,** that is, if BD = GH, and the lines £H and AF parallel, then the paralleloe-ram JIBDC=,BDFE.= EfHG.... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...is equal to the triangle DBC. Wherefore triangles, &c. QED Propoķiķion XXXVIII. 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... | |
| Euclid - 1826 - 236 pages
...the triangle DBC. Therefore triangles, &c. QED PROPOSITION XXXVIII. THEOREM. Triangles constituted **upon equal bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DCE, be constituted upon equal bases вс, CE, and <? A n н between the same parallels... | |
| Euclides - 1826 - 226 pages
...the same parallels вс, EF. And the triangle PROPOSITION XXXVIII. THEOREM. , Triangles constituted **upon equal bases, and between the same parallels, are equal to one another.** * si.i. rallel to сл; " also through E draw EH B c E Let the triangles ABC, DCE, be constituted upon... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...to the 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** ABC^DjEFGH, be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG: the parallelogram... | |
| John Playfair - Geometry - 1829 - 186 pages
...(Prop. 34.), and therefore are equal to one another. ED. PROPOSITION XXXVIII. THEOREM. Triangles on **equal bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD; the triangle... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 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** auother. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF,... | |
| Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...to perceive, 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, &c. by... | |
| Pierce Morton - Geometry - 1830 - 584 pages
.... 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, and triangles... | |
| 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.... | |
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