| United States. War Department - 1903 - 438 pages
...are unequal, 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... | |
| United States. War Department - 1903 - 446 pages
...are unequal, 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... | |
| 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... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...angle. HH D\ Let AB be the given st. line, and C the given angle. It is required to describe on AB **a segment of a circle which shall contain an angle equal to** C. Construction. At A in BA, make the L BAD equal to the LCI 23. From A draw AE at rt. angles to AD.... | |
| 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... | |
| 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... | |
| Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...triangle will be equal to the perpendicular let fall from one of its angles upon the opposite side. 7. **Upon a given straight line to describe a segment of...circle which shall contain an angle equal to a given** rectilineal (acute) angle. 8. Prove that the opposite angles of a quadrilateral figure inBcribed in... | |
| Henry Sinclair Hall - 1908 - 286 pages
...draw a common tangent to two circles. 185 THE CONSTRUCTION OF CIRCLES - - - - - - 188 PROBLEM 24. On **a given straight line to describe a segment of a circle...which shall contain an angle equal to a given angle.** 190 COR. To cut off from a given cirole a segment containing a given angle, it is enough to draw a... | |
| Geometry, Plane - 1911 - 192 pages
...centre of the circle. JUNE, 1908 1. The diagonals of a parallelogram bisect each other. 2. Show how, **upon a given straight line, to describe a segment of a circle which shall contain an angle** of given magnitude. 3. If C be the middle point of AB and CD be the line through C perpendicular to... | |
| Education - 1911 - 1334 pages
...three segments exterior to the triangle is equal to four right angles. 5. On a given straight line **describe a segment of a circle which shall contain an angle equal to a given angle.** 6. The three circles which pass through two vertices of a triangle and ;'« orthocentre are each equal... | |
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