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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 English Journal of Education, Volume 5

Education - 1851 - 502 pages
...together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment of...circle which shall contain an angle equal to a given rectilineal angle. 2. To describe a square which shall be equal to a given rectilineal figure. SECTION...

Papers for the schoolmaster, Volumes 1-6

582 pages
...The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line- describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 5. The circumference of one circle is equal to the diameter of another ; show that...

The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...lines ED and BC are parallel (d). PROPOSITION XXXIII. PROBLEM. — On a given finite straight line (AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (C). Let the given angle be a right angle : — SOLUTION. Bisect AB in F (a), and...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...equal to a given angle. Let AB be the given straight line, and c the given angle. It is required on AB to describe a segment of a circle, which shall contain an angle equal to the angle c. There are two cases, according as the angle c is a right angle, or is not. I. Let the...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...angle BCD in the alternate segment of the circle. Wherefore, if a straight line, &c. 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. Let AS be the given straight line, and the...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...alternate segment of the 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...

Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...Definition of 'angle in a tegment'i see (52 Cor.). 149. PROP. LII. Upon a given straight line* to construct a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line; and through the point A draw the straight line AC making with AB...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...is equal to the square of the straight lin« »hich is made up of the half and the part produced. 6. Upon a given straight line to describe a segment of...circle, which shall contain an angle equal to a given rectilineal angle. .7. Two circles ASCD, EBCF, having the common tangents AE, and DF cut one another...