 | Robert Gibson - 1821 - 594 pàgines
...being a 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. For AC=BD=EF(\>y... | |
 | 1821 - 708 pàgines
...For it has been proved, that ABDC being a parallelogram, AB is equal to CD, and AC equal to BD. JLj. All parallelograms on the same or equal bases, and between the same pantl^ lels, are equ.il to each other ; that is, if BD and GH be equal, and the lines BH, AF be parallel,... | |
 | Peter Nicholson - 1825 - 1046 pàgines
...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... | |
 | Euclid - 1826 - 234 pàgines
...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... | |
 | Nathaniel Bowditch - 1826 - 764 pàgines
...For it has been proved, that ABDC being a parallelogram, AB is equal to CD, and AC equal to BD. L* AU parallelograms on the same or equal bases, and between the same parallels, an equal to each other ; that is, if BD and GH be equal, and the lines BH, AF be parallel, the parallelograms... | |
 | Euclides - 1826 - 226 pàgines
...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... | |
 | Robert Simson - 1827 - 546 pàgines
...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 - 1829 - 210 pàgines
...(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 - 584 pàgines
...its base and altitude . cor. 16 •и two Greek words, signifying " along one (i) Parallelograms upon the same or equal bases, and between the same parallels, are equal to one another 16 (A) If a parallelogram and a triangle stand upon thesarae base, and between the same parallels,... | |
 | Francis Joseph Grund - 1830 - 274 pàgines
...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... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
