## 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 base Bisect the angle Construct denoted describe a circle describe a semicircle describe a square describe an arc describe arcs diagonal scale diameter distances divide division Draw a straight ellipse English equal equilateral triangle feet figure five four furlongs given circle given point given square given straight line given triangle Hence hexagon inch inscribe isosceles triangle Join length Let AB Let ABC Let this cut Mark mean proportional measure meet method metres miles octagon parallel parallel to BC perpendicular plain scale polygon problem produce Proof radii radius radius describe Representative Fraction respectively right angles scale to read sectors segment sides square required straight line drawn subdivide Take take any point tangent touch trapezium triangle ABC 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.