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Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle.
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Page 396
by Robert Mudie - 1836 - 496 pages

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...to the locus may be put under the form, 4 xy tan il, - (a2— V*) sec2 ifi. 89. Join AB, and upon it describe a segment of a circle which shall contain an angle equal to the given angle. If the circle cut the given line, there will be two points ; if it only touch the...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - Geometry - 1845 - 382 pages
...is an angle in the remote segment ACB. If, therefore, a straight line, &c.* PROP. XXXIII. PROR. — Upon a given straight line, to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle...

## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...= 2 rt. /. s, in the ' ~\ altern. seg. DCB. Wherefore if a str. line, &c. PROP. LXL PROB. 33. 3Eu. Upon a given straight line to describe a segment of...circle, which shall contain an angle equal to a given rectilineal angle. Let AB be a given str. line, C the given /_ ; it is required to descr. on AB, a...

## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...rent / DBE -J rem - ^BCD, in the I ( III • /_ ±J f-fl-J — \ 1, T\/~»T* PROP. LXI. PROB. 33. SEU. Upon a given straight line to describe a segment of...circle, which shall contain an angle equal to a given rectilineal angle. Let AB be a given str. line, C the given /.; it is required to descr. on AB, a seg....

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angle DBE is equal to the angle BCD in the alternate segment of the circle. 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...

## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...DCB in the alternate segment of the circle. Wherefore, If a straight line %c. 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...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...to the locus may be put under the form, 4a;y tan <t> = (ai— 62) sec2 <p. 89. Join AB, and upon it describe a segment of a circle which shall contain an angle equal to the given angle. If the circle cut the given line, there will be two points ; if it only touch the...

## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...circle, shall be equal to the angles which are in the alternate segments of the circle. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a...circle, which shall contain an angle equal to a given rectilineal angle. PROP. XXXIV. PROBLEM. From a given circle, to cut off a segment which shall contain...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...angles of a triangle, all meet in the same point, viz., the center of the inscribed circle. FROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From...

## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...in the alternate segment of the circle. Wherefore, if a straight line, &c. 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...