 | John Playfair - Mathematics - 1806 - 320 pages
...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 - 354 pages
...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 - Circle-squaring - 1819 - 350 pages
...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... | |
 | George Lees - 1826 - 276 pages
...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,... | |
 | Euclid - 1826 - 234 pages
...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 - 226 pages
...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... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...BD; and it was shown to 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 its diameter bisects it, that is, divides it into two equal parts. NB A parallelogram is a four... | |
 | Euclid - 1835 - 540 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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... | |
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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. N. B — A parallelogram is a four-sided figure, of which the opposite sides are parallel : and the diameter... 
