| Robert Simson - Trigonometry - 1762 - 488 pages
...than a femicircle ; and the angles in it BAC, BEC are equal, by the firft cafe, for the fame reafon, **the angles CAD, CED are equal, therefore the whole...to the whole angle BED, Wherefore the angles in the** fame fegment, &c. PROP. XXII. THE OR. oppofite angles of any quadrilateral figure defcribed in a circle,... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...BEC are equal, by the firit cafe : For the fame reafon, becaufe CBED is greater than a femicircle, **the angles CAD, CED are equal : Therefore the whole...to the whole angle BED. Wherefore the angles in the** fame fegment, &c. a ED PROP. XXII. THEO R. THE oppofite angles of any quadrilateral figure deleribed... | |
| Euclid - 1781 - 552 pages
...by the firft cafe : For the fame reafon, becaufe CBED is greater than a femicircle, the angles CADi **CED are equal : Therefore the whole angle BAD is equal...to the whole angle BED. Wherefore the angles in the** fame fegment, &c. QED PROP. XXII. THEO R. THE oppofite angles of any quadrilateral figure defcribed... | |
| Robert Simson - Trigonometry - 1781 - 534 pages
...than a femicircle ; and the angles in it BAC, BEC are equal, by the firft cafe. for the fame reafon, **the angles CAD, CED are equal. therefore the whole angle BAD is equal to the whole** airgle BED. Wherefore the angles in the fame fegment, &c. QED PROP. XXTI. THEO R- . THE oppofite angles... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...than a femicircle ; and the angles in it BAC, EEC are equal, by the firft cafe. for the fame reafon, **the angles CAD, CED are equal. therefore the -whole...to the whole angle BED: Wherefore the angles in the** fame fegment, &c. Q^ED PROP. XXII. THEOR. THE oppofite angles of any quadrilateral figure defcribed... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...fame reafon, becaufe CBED is greater than a femicircle, the augles CAD, CED are equal : The re , fore **the whole angle BAD is equal to the whole angle BED. Wherefore the angles in the** fame fegment, &.c. D. PROP. XXII. T II EO R. THE oppofitc angles of any quadrilateral figure defcribed... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...semicircle; and the angles in it BAC, BEC are equal, by the first case : for the same reason, because CBED **is greater than a semicircle, the angles CAD, CED...the angles in the same segment, &c. QED PROP. XXII.** THEOK. THE opposite angles of any quadrilateral figure described in a circle are together equal to... | |
| John Playfair - Mathematics - 1806 - 320 pages
...in it BAG, BEC are equal, by the first casq; also the segment CBED is greater than a semicircle, and **the angles CAD, CED are equal. Therefore the whole...Wherefore the angles in the same segment, &c. QED** A J3 . XXII. THEOR. THE opposite angles of any quadrilateral figure described in a circle are together... | |
| Euclid - Geometry - 1810 - 554 pages
...semicircle; and the angles in it BAC, BEC arc equal, by the first case: for the same reason, because CBED **is greater than a semicircle, the angles CAD, CED...angle BED. Wherefore the angles in the same segment,** Sec. QED PROP. XXII. THEOR. THE opposite angles of any quadrilateral figure described in a circle,... | |
| Euclides - 1814 - 560 pages
...semicircle; and.the angles in it BAC, BEC are equal, by the first case: For the same reason, because CBED **is greater than a semicircle, the angles CAD, CED,...angles in the same segment, &c. QED PROP. XXII. THEOR.** E THE opposite angles of any quadrilateral figure described in a circle, are together equal to two... | |
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