| John Playfair - Euclid's Elements - 1804 - 470 pages
...*• 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 - Euclid's Elements - 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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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 figure, of which the... | |
| John Playfair - 1819 - 317 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... | |
| Euclides - 1826 - 226 pages
...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 - 266 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,... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...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 - Euclid's Elements - 1835 - 316 pages
...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 - Trigonometry - 1835 - 513 pages
...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 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... | |
| |