 | John Playfair, Euclid - 1804 - 468 σελίδες
...*• be equal to it. Therefore, ftraight lines, &c. Q^ E- D. PROP. XXXIV. THE OR. THE oppofite fides and angles of a parallelogram are equal to one another, and the diameter bifects it, that is, divides it iii two equal partS. NB A Parallelogram is a four-Jided figure, of... | |
 | John Playfair - 1806 - 320 σελίδες
...to the whole angle ACD : and the angle BAG has been shown, to be equal to the angle BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another. Also, its diameter bisects it ; for AB being equal to CD, and BC common, the two AB, BC are equal to... | |
 | John Playfair - 1819 - 350 σελίδες
...and it was shewn to be equal to it. Therefore, straight lines, &.c. Q, ED PROP. XXXIV. THEOR. 'Che opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two etjual parts. NB A Parallelogram is a four-sided figure, of which the... | |
 | John Playfair - 1819 - 354 σελίδες
...to the whole angle ACD : And the angle BAC has been shewn to be equal to the angle BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another : also, its diameter bisects it ; for AB being equal to CD, and BC common, the two AB, BC are equal... | |
 | Euclides - 1826 - 226 σελίδες
...angles ACB, CBD, equal to one another, AC is parallel to BD. C But it was shown that it was equal c 2?« i. to it. Therefore right lines, &c. QED PROPOSITION...the opposite sides and angles of the parallelogram ABDC are equal to one another, and the diameter BC bisects it. For because AB is parallel to CD, and... | |
 | George Lees - 1826 - 276 σελίδες
...equal to the whole angle BCD ; and the angle ABC has been^shown equal to the angle ADC ; therefore, the opposite sides and angles of a parallelogram are equal to one another. And since the triangle ABC is equal to the triangle ADC, the diameter of course bisects it. Therefore,... | |
 | John Playfair - 1832 - 358 σελίδες
...to be •equal to it Therefore straight lines, &c. QED PROP. XXXIV. THEOR. The opposite sides find 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-aided figure, nf which the opposite... | |
 | John Playfair - 1835 - 336 σελίδες
...two right angles ; therefore, the opposite sides must be equal and parallel. PROP. XXVIII. THEOR. '. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it ; that is, divides it into two equal parts. Let ACDB be a parallelogram, of which... | |
 | Robert Simson - 1835 - 544 σελίδες
...to the whole angle ACD : And the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another: also its diameter bisects it; for AB being equal to CD, and BC common, the two AB, BC are equal to... | |
 | Euclid - 1835 - 540 σελίδες
...to the whole angle ACD : And the angle BAC has been shown to be equal to the angle BJDC ; therefore the opposite sides and angles of a parallelogram are equal to one another: also its diameter bisects it; for AB being equal to CD, and BC common, the two AB, BC are equal to... | |
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And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax. 
