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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. "
Elements of geometry: consisting of the first four,and the sixth, books of ... - Seite 73
von Euclides - 1842
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 Seiten
...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,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 Seiten
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 Seiten
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 Seiten
...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,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 Seiten
...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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