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" UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 93
von Sir John Leslie - 1817 - 432 Seiten
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...circle. Wherefore, if a straight line, etc. QED PROPOSITION XXXIII. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 Seiten
...without or in the circumference, which shall touch a given circle. 6. I. 1 , on a given straight line, to describe a segment of a circle containing an angle equal to a given rectilineal angle. If two equal circles touch each other externally and two lines be drawn...
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 Seiten
...describe a segment of a circlt which shall contain a given angle. Let AB be the given straight line, upon which it is required to describe a segment of a circle containing a given tingle. At the' point A, in the straight line AB, make the angle SAD equal to the given angle...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 Seiten
...at B, 11. I., draw a right angle : BA is the tangent from B. PROB. 6. Upon a given straight line AB, to describe a segment of a circle containing an angle equal to C, a given rectilineal angle. At A, 23. I., make the angle BAD equal to angle C ; and, 11. I., at A make...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 Seiten
...describe a segment of a circlt. which shall contain a given angle. Let AB be the given straight line, upon which it is required to describe a segment of a circle containing a given angle. At the point A, in the straight line AB, make the angle ?AD equal to the given angle...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...angle DBE is equal to the angle BCD in the alternate segment of the circle. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Given the straight line AB, and the rectilineal angle at C; %, it is required...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 Seiten
...equal to the angles which are in the alternate segments of the circle. 2. On a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1 . If two similar parallelograms have a common angle...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 Seiten
...straight line, &c. QED THE SCHOOL EUCLID. [BOOK m. PROP. XXXIII.— PROBLEM. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. (References— Prop. i. 4, 10, 11, 23, 31 ; Hi. 16 cor., 31, 32.) Let AB...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...(ax. 3.) Wherefore, if a straight line, ftc. QED PROP. XXXIII — PROBLEM. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. (References— Prop. I. 4, 10, 11, 23, 31 ; in. 16 cor., 31, 32.) Let AB...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...the circle. Wherefore, if a straight line &c. QED PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the given rectilineal angle : it...
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