 | John Playfair - 1806 - Liczba stron: 320
...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 - Liczba stron: 354
...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... | |
 | John Playfair - 1819 - Liczba stron: 350
...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... | |
 | Euclid - 1826 - Liczba stron: 234
...But it was shown that it was equal « 27. i. to it. Therefore right lines, &c. QED PROPOSITION XXXIV. THEOREM. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it. " A parallelogram is a four-sided figure, whose opposite sides are parallel."... | |
 | Euclides - 1826 - Liczba stron: 226
...But it was shown that it was equal c 2?« i. to it. Therefore right lines, &c. QED PROPOSITION XXXIV. THEOREM. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it. • " A parallelogram is a four-sided figure, whose opposite sides are parallel."... | |
 | George Lees - 1826 - Liczba stron: 276
...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,... | |
 | Robert Simson - 1835 - Liczba stron: 544
...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 - Liczba stron: 540
...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... | |
 | 1836 - Liczba stron: 488
...and parallel straight lines, towards the same parts, are also themselves equal and parallel. XXXIV. 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. XXXV. Parallelograms upon the same... | |
 | Euclid, James Thomson - 1837 - Liczba stron: 410
...quadrilateral which has two sides equal and parallel, is (I. def. 24.) a parallelogram. PROP. XXXIV. THEOR. THE opposite sides and angles of a parallelogram are equal to one another ; and (2.) the diagonal bisects it. Let ADf be a parallelogram, of which BC is a diagonal; (1.) the opposite... | |
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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. 
