| Robert Gibson - 1821 - 544 sider
...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 - 1825 - 372 sider
...yix.)lherefore,the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED Propoíiíion **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... | |
| Euclides - 1826
...parallelograms placed upon the same base, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms constituted **upon equal bases, and between the same parallels, are equal to one another.** Let ABCD, EFGH, be parallelograms constituted upon equal bases вс, FG, and between the same parallels... | |
| Euclid - 1826 - 180 sider
...parallelograms placed upon the same base, 8ec, QED PROPOSITION XXXVI. THEOBEM. Parallelograms constituted **upon equal bases, and between the same parallels, are equal to one another,** Let ABCD, EFGII, be parallelograms constituted upon equal bases вг, TG, and between the same parallels... | |
| Robert Simson - 1827 - 513 sider
...therefore the 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.** Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD: the triangle... | |
| Euclid, Robert Simson - 1829 - 516 sider
...therefore the 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,... | |
| John Playfair - 1829 - 186 sider
...(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... | |
| Pierce Morton - 1830 - 272 sider
.... 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... | |
| Francis Joseph Grund - 1830 - 12 sider
...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... | |
| Robert Gibson - 1832 - 348 sider
...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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