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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

## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...&c. QED PEOP. XXXIII. (PnOELEM.)— Upon a given straight line(\B) to describe rectilineal angle (C). a segment of a circle, which shall contain an angle equal to a given Bisect AB inF (I.10), and from the centre F, at the distance FB, de ;cribe the semicircle AH B. Because...

## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...alternate segment of the circle. (l. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which thali contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the...

## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...with a radius of 1^ inches, and then describe an equilateral and equiangular pentagon about it. 7. Describe a segment of a circle which shall contain an angle equal to one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide...

## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...triangles ADE, ADC may be shewn to be equal. 44. Let A, B, be the given points. 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 line,...

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

Robert Potts - 1865 - 528 pages
...Join TO, VO and prove TOY a straight line. 68. Let A, B, be the given points. 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 College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...alternate segment of the circle. (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 ;...

## Papers Read at the Royal Institute of British Architects

Architecture - 1865 - 276 pages
...to the angles which are in the alternate segments of the circle. Shew from this how to describe the segment of a circle which shall contain an angle equal to a given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each...

## Parliamentary Papers, Volume 52

Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...pass through the point of contact. (Take the case of external contact.) 9. On a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Hence describe a triangle of given base, area, and vertical angle. 10. Show how...