 | 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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Triangles upon equal bases, and between the same parallels, are equal to one another. 
