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" The opposite angles of any quadrilateral figure described in a circle, are toe/ether equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD : any two of its opposite angles are together equal to two right angles. "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 71
by Euclid - 1845 - 199 pages
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Encyclopædia Britannica: Or, A Dictionary of Arts ..., Volume 8, Part 1

Colin Macfarquhar, George Gleig - Encyclopedias and dictionaries - 1797 - 414 pages
...converfation relate to thefpeaier, the party addrejjed, or a Greet book. In this fentence, " ifay that the three angles of every triangle are equal to two right angles," thejfrcahr is furely not theyú¿№ 142. in converfation, or when a man, in the character of a public...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...THEOR. BOOK Hi. THE oppofite angles of any quadrilateral figure defcribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its oppofite angles are together equal to two right angles. Join AC, BD ; and becaufe the three angles...
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The Edinburgh Review: Or Critical Journal, Volume 30

1818 - 638 pages
...invidious, unless when they are invidiously pursued, would be puerile. No man, when he learns that the three angles of e•very triangle are equal to two right angles, ever thought of saying, that the series of comparisons by which that truth is demonstrated was invidious...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...PROP. XXII. THEOR. THE oppofite angles of any quadrilateral figure defcribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its oppofite angles are together equal to. two right angles. Join AC, BD ; and becaufe the three angles...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...XXII. T II EO R. THE oppofitc angles of any quadrilateral figure defcribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in jhe circle ABCD ; any two of its oppofite angles are together equal to two right angles. Join AC, BD....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; anjr two of its opposite angles are together equal to two...Join AC, BD ; and because the three angles of every tri3.32. 1. angle are equal» to two right angles, the three angles of the triangle CAB, viz. the angles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...PROP. XXII. THEOR. THE opposite angles of any quadrilateral figure described in a circle, are together equal to two right angles. Let ABCD be a quadrilateral...Join AC, BD; and because the three angles of every tria 32. 1. angle are equal « to two right angles, the three angles of the triangle CAB, viz. the...
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The Eloquence of the British Senate: Being a Selection of the Best ..., Volume 1

William Hazlitt - Orators - 1810 - 544 pages
...or the Cartesian system : nay, if any such law were made against all those who did not believe that the three angles of every triangle are equal to two right angles, I make no doubt but that this plain demonstration would be most violently opposed by great numbers...
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The Freethinking Christians' Magazine: Intended for the Promotion ..., Volume 3

Liberalism (Religion) - 1813 - 596 pages
...they concurred in the plain and pre-established propositions that " two and two are four, and that the three angles of every triangle are equal to two right angles," were perfectly correct, and found every thing as it should be; " but, when each left this guide, and...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...PROP. XXII. THEOR. The opposite angles of any quadrilateral figure described in a circle, are together equal to two right angles. Let ABCD be a quadrilateral...are together equal to two right angles. Join AC, BD. The angle CAB is equal (21. 3.) to the anglo CDB, because they are in the same segment B ADC^and the...
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