 | Robert Simson - Trigonometry - 1762 - 466 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 - 520 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 - 550 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 - 466 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
...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's Elements - 1804 - 470 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 - 518 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 - Euclid's Elements - 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 - 518 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 - 558 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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CBED is greater than a semicircle, the angles CAD, CED are equal : therefore the whole angle BAD is, equal to the whole angle BED. 
