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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
First lessons in Plane Geometry. Together with an application of them to the ... - Page 195
by Francis Joseph Grund - 1830 - 12 pages

## Plane Geometry

Edward Brooks - 1901 - 278 pages
...XII.) ; therefore the circle will be inscribed in the triangle. QEF PROPOSITION XVIII. — PROBLEM. Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line, and M the given angle. It is required to describe a segment on the...

## Examination Papers

University of Toronto - 1901 - 1192 pages
...by the whole line and one part shall be equal to the square on the other part. (Eue. II, 11.) 2. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. (Eue. Ill, 88.) 3. To circumscribe a square about a given circle....

## Annual Reports of the Secretary of War, Volume 4

United States. War Department - 1903 - 438 pages
...the angles opposite are unequal, and the greater angle is opposite the greater side. 2. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. 8. Theorem. — If in a right triangle a perpendicular is...

## Annual Reports of the War Department, Volume 4

United States. War Department - 1903 - 446 pages
...the angles opposite are unequal, and the greater angle is opposite the greater side. 3. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. 3. Theorem. — If in a right triangle a perpendicular is...

## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...chord from the middle point of either arc cut off by the chord are equal. PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. HH D\ Let AB be the given st. line, and C the given angle. It is required...

## Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...253 In like manner, we may prove EH tangent to the given O. QEF PROPOSITION XXXVIII. PROBLEM. 318. Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. Let AB be the given line, and M the given angle. Construct...

## Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...in a semicircle is a rt. Z." § 277 .-. PH and PK are tangents. § 252 PROPOSITION XXX. PROBLEM 304 Upon a given straight line, to describe a segment of a circle which shall contain a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment of a circle upon...

## Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...^." § 277 .-. PH and PK are tangents. § 252 PLANE GEOMETRY — BOOK II PROPOSITION XXX. PROBLEM 304 Upon a given straight line, to describe a segment of a circle which shall contain a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment of a circle upon...