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" Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle. "
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry - Page 38
by John Playfair - 1829 - 186 pages
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...PROPOSITION XXXIII. PROB. — Upon a given straight line to describe a segment o 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 angle ; it is required to describe upon the given straight line...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...is the solid AV to the solid ED. (v. def. 5.) Wherefore, if a solid, &c. Q. E . D. PROPOSITION XXVI. PROBLEM. At a given point in a given straight line, to make a solid angle equal to a given solid angle contained by three plane angles. Let AB be a given straight...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - Geometry - 1845 - 382 pages
...\ planes of AV. But (XI. 24) the three ^~M \r~\ K F. ~" ^ H ~^ \ il OYFC 8 PROP. XXVI. PROB. — At a given point in a given straight line, to make a solid angle equal to a given solid angle contained by three plane angles. Let A be a given point in...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...FG = B. .'. sides of j\ KFG are made = A, B, C, which was to be done. PROP. XXII. PROB. 23. 1 Ku. At a given point in a given straight line, to make...to a given rectilineal angle. Let AB be the given str. line, A a given pt. in it, DCE the given /. ; to make an /. at A in AB = L DCE. Vet. 15. Constr....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...and FG = B. .'. sides of ^\ KFG are made = A, B, C, which was to be done. PROP. XXII. PROB. 23. 1 Eu. At a given point in a given straight line, to make...to a given rectilineal angle. Let AB be the given str. line, A a given pt. in it, DCE the given /_ ; to make an Z. at AinAB = Z.DCE. Make < AFG,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...82 PROP. XXXIII. PROS. 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 angle ; it is required to describe upon the given straight line...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...QED PROP. 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 C the given rectilineal angle : it is required to describe .— upon the given straight line AB a seg-...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...similar A may of course be constructed on the other side of DE. PROP. XXIII. PROB. GEN. ENTJN. — At a given point in a given straight line, to make...rectilineal angle equal to a given rectilineal angle. PART. ENUN. — Let AB be the gn. st. line ; A the gn. pt. in it; DCE the gn. rectilineal Z . Then...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...base of one of which shall be to the base of the other, as the one solid is to the other. PROP. XXVI. PROBLEM. At a given point in a given straight line, to make a solid angle equal to a given solid angle contained by three plane angles. EUCLID S ELEMENTS. PROP....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...QED PROP. 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 angle; it is required to describe upon the given straight line...
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