 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 - 226 pages
...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 - 234 pages
...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 - Trigonometry - 1827 - 546 pages
...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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...same parallels (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 - Geometry - 1830 - 584 pages
...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 - Geometry, Plane - 1830 - 274 pages
...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 - 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
...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.... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 202 pages
...equal to a rectangle upon the same basis, and of the same height. (Truth I.) 2dly. Parallelograms upon equal bases, and between the same parallels, are equal to one another ; for if they are between the same parallels, their heights must be equal. (Query 11, Sect. I.) 3dly.... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
