## An elementary treatise on geometrical drawing |

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An Elementary Treatise on Geometrical Drawing: With Numerous Examples John Henry Robson No preview available - 2009 |

### Common terms and phrases

ABCD angular point applying Euc Bisect the angle bisectors circle required comparative scale decimetres denoted describe a circle describe a semicircle describe a square describe an arc diagonal scale diameter distances Draw a straight Draw GH parallel draw straight lines ellipse equal circles equal in area equilateral triangle furlongs GEOMETRICAL DRAWING given angle given circle given point given square given straight line given triangle inches long Inscribe a regular isosceles triangle Join AP KLMN Let ABC Let this cut major axis mean proportional metres number of equal octagon parallel to BC perpendicular plain scale Proof Proof.-Apply Euc Proof.-Euc protractor radii read miles regular pentagon regular polygon Representative Fraction right angles scale to read segment semi-minor axis sides similar triangle square required straight line drawn subdivide take any point tangent three equal touch trapezium triangle ABC versts vertical angle yards

### Popular passages

Page 22 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 79 - PF'/PH' = e, by definition of the curve. Furthermore :f (6) PF + PF' = 2a. In fact, the ellipse is often defined as the locus of a point which moves so that the sum of its distances from two fixed points is constant.

Page 15 - To draw a straight line at right angles to a given straight line, from a given point in the same.

Page 60 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.

Page 34 - Cut off from a given triangle a fourth, fifth, sixth, or any part required by a straight line drawn from a given point in one of its sides.

Page 14 - At a given point in a given straight line to make an angle equal to a given angle.

Page 64 - To construct a circle which shall pass through two given points and touch a given straight line.

Page 21 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.

Page 66 - Find a point in a given straight line, such that the sum of its distances from two fixed points on the same side of the line is a minimum, that is, less than the sum of the distances of any other point in the line from the fixed points. Taking the diagram of the last example, suppose CD to be the given line, and A, B the given points. Now if A and A...

Page 32 - A tangent to a circle is a straight line which meets the circumference, but being produced, does not cut it.