 | Robert Simson - 1775 - 534 σελίδες
...oppofite fides and angles of parallelograms are equal to one another ; alto, their diameter bifects them ; for AB being equal to CD, and BC common, the two AB, BC are equal to the two DC, CB,cach to each ; and the angle ABC Book I. is equal to the angle BCD j therefore the triangle ABC... | |
 | Robert Simson - 1781 - 534 σελίδες
...of parallelograms are equal to one another. alfo, their diameter bifects them, for, AB being equil to CD, and BC common; the two AB, BC are equal to the two DC, CB, «ach to each ; and the angle ABC is equal to the Book I. angle BCD ; therefore the triangle ABC is... | |
 | Euclid - 1781 - 552 σελίδες
...parallelograms are equal to one another ; alfo, their diameter bifects them ; for AB being equal to CD, ancfr BC common, the two AB, BC are equal to the two DC, Cti, each to each; and the angle ABC C 4 is c *• x< SeeN. See the id and 3d figurcs. ». 34. r. b... | |
 | John Playfair - 1795 - 462 σελίδες
...one another : alfo, their diameter bifefts them-; for AB being equal to CD, and BC common, the tw» AB* BC are equal to the two DC, CB, each to each ; and the angle ABC is equal to the angle c 4. i. BCD ; therefore the triangle ABC is equal c to the triangle BCD, and the diameter BC divides... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...oppofite fides and angles of pnrallelograirs are equal to one another ; alfo, their diameter bifeds t^em ; for AB being equal to CD, and BC common, the two AB,...the two DC, CB, each to each ; and the angle ABC is 04. i. equal to the angle BCD ; therefore the triangle ABC is equal c to the triangle BCD, and the... | |
 | Robert Simson - 1804 - 528 σελίδες
...oppofite fides and angles of parallelograms are equal to one another, alfo, their diameter bifects them, for, AB being equal to CD, and BC common; the two AB, BC are equal to the two DC, CB, each t^each ; and the angle ABC is equal to the r-. 4. i. «d nd Figures. Book I. angle BCD', therefore... | |
 | John Playfair - 1806 - 320 σελίδες
...and it was shown to c 27. 1. be equal to it. Therefore, straight lines, &c. QED PROP. XXXIV. THEOR. THE opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into tvyo equal parts. NB A parallelogram is a four... | |
 | Robert Simson - 1806 - 548 σελίδες
...opposite sides and angles of parallelograms are equal to one another; also, their diameter bisects them ; for AB being equal to CD, and BC common, the two AB, BC arc equal to the two DC, CB, each to each ; and the angle ABC is Book I. equal to the angle BCD ; therefore... | |
 | Euclid - 1810 - 554 σελίδες
...opposite sides and angles of parallelograms are equal to one anothe l-; also, their diameter bisects them; for AB being equal to CD, and BC common, the two AB,...the two DC, CB, each to each; and the angle ABC is . Book I. equal to the angle BCD; therefore the triangle ABC is equal v^-vw c to the triangle BCD,... | |
 | John Playfair - 1819 - 354 σελίδες
...; and it was shewn to be ^q'nal to it. Therefore, straight lines, &c. Q, EDi!> PROP. XXXIV. THEOR. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two equal parts. NB A Parallelogram is a four-sided... | |
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And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB... 
