A graduated course of problems in practical plane and solid geometry |
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Side 28
2 . At A , make an angle of 60° ( Pr . 7 ) , and continue the line , until it meets the
perpendicular erected at B , in the point C . Then ABC is the required triangle . 7 .
A trapezium is a quadrilateral which has none 28 PRACTICAL GEOMETRY .
2 . At A , make an angle of 60° ( Pr . 7 ) , and continue the line , until it meets the
perpendicular erected at B , in the point C . Then ABC is the required triangle . 7 .
A trapezium is a quadrilateral which has none 28 PRACTICAL GEOMETRY .
Side 35
As in the preceding figure , its opposite angles are equal to each other . NOTE 2 .
- The remaining classes of quadrilaterals are the trapezium and the trapezoid . 8 .
A trapezoid is a quadrilateral which has only. 7 . A trapezium is a quadrilateral ...
As in the preceding figure , its opposite angles are equal to each other . NOTE 2 .
- The remaining classes of quadrilaterals are the trapezium and the trapezoid . 8 .
A trapezoid is a quadrilateral which has only. 7 . A trapezium is a quadrilateral ...
Side 41
From B , with radius BC , describe an arc above B . 3 . From E as centre , with
radius AB , cut the arc in C . 4 . Join EC and CB . Then A ECB is the required
rhomboid . Problem 42 . To construct a trapezium equal to a given trapezium
ABCD . 1 .
From B , with radius BC , describe an arc above B . 3 . From E as centre , with
radius AB , cut the arc in C . 4 . Join EC and CB . Then A ECB is the required
rhomboid . Problem 42 . To construct a trapezium equal to a given trapezium
ABCD . 1 .
Side 42
Then the trapezium EFGH shall be equal to the given trapezium ABCD . Problem
43 . To construct a trapezium , having its adjacent pairs of sides equal
respectively to two given lines AB and CD , and its diagonal equal to the given
line EF . 1 .
Then the trapezium EFGH shall be equal to the given trapezium ABCD . Problem
43 . To construct a trapezium , having its adjacent pairs of sides equal
respectively to two given lines AB and CD , and its diagonal equal to the given
line EF . 1 .
Side 43
To construct a trapezium when the length of the diagonal AB , and the angles at
its extremities A and B are given . 1 . Make any straight line CD equal to the
diagonal AB . 2 . Make angles at C equal and correspondent to the angles at A ;
and ...
To construct a trapezium when the length of the diagonal AB , and the angles at
its extremities A and B are given . 1 . Make any straight line CD equal to the
diagonal AB . 2 . Make angles at C equal and correspondent to the angles at A ;
and ...
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altitude arc cutting Atlas axis base Bisect the angle called centre circumference cloth complete cone construct contained curve cutting cylinder describe a circle describe an arc describe arcs diagonal diameter distance divide draw a line draw lines Draw the line edge elevation ellipse equal equal in area equilateral triangle face four given circle given line given point given square ABCD given straight line given triangle ABC half height hexagon horizontal plane inches inclined inscribe intersection isosceles triangle Join length Maps mark meeting Method NOTE obtain parallel parallelogram pass pentagon perpendicular Philips plane of projection polygon prism Problem produced projection projectors pyramid radii radius rectangle rectilineal figure regular represent required circle respectively right angles scale semicircle sides similar solid straight line Take touching traces trapezium vertical plane
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Side 295 - Philips' Preparatory Atlas, Containing Sixteen Maps, full colored. Crown quarto, in neat cover, 6d. Philips Preparatory Outline Atlas. Sixteen Maps. Crown quarto, printed on fine cream-wove paper, in neat cover, 6d. Philips Preparatory Atlas of Blank Projections. Sixteen Maps. Crown quarto, printed on fine cream-wove paper, in neat cover, 6d. Philips Elementary Atlas for Young Learners.
Side 294 - Young Student's Atlas, Comprising Thirty-six Maps of the Principal Countries of the World, printed in colors. Edited by W. Hughes, FRGS Imperial 41.0., bound in cloth, 33. 6d. Philips Atlas for Beginners, Comprising Thirty-two Maps of the Principal Countries of the World, constructed from the best authorities, and engraved in the best style. New and enlarged edition, with a valuable Consulting Index, on a new plan.
Side 193 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if it be less than the other side, an obtuse-angled ; and if greater, an acute-angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves.
Side 123 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.