A graduated course of problems in practical plane and solid geometry |
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Página 190
... angles to the plane cdyx , meeting xy , the intersecting line of the two planes , in m and n . From m and n lines are drawn parallel to AA , and BB ; then the intersections A ' and B ' of these lines , with the perpendicu- Jars let fall ...
... angles to the plane cdyx , meeting xy , the intersecting line of the two planes , in m and n . From m and n lines are drawn parallel to AA , and BB ; then the intersections A ' and B ' of these lines , with the perpendicu- Jars let fall ...
Página 194
... xy . The plan of A ' will be in this line . Let A be its plan . Then the points A'A are the ele- X vation and plan ... angles to the vertical plane . As the line is at right angles to the vertical plane , it will be pro- jected on that ...
... xy . The plan of A ' will be in this line . Let A be its plan . Then the points A'A are the ele- X vation and plan ... angles to the vertical plane . As the line is at right angles to the vertical plane , it will be pro- jected on that ...
Página 195
... angles to xy , will be seen as Aa . Thus , Aa and A ' are the plan and elevation of a line at right angles to the vertical plane , parallel to , and situated above the horizontal plane at a distance equal to Ã'a . Problem 3 . To find ...
... angles to xy , will be seen as Aa . Thus , Aa and A ' are the plan and elevation of a line at right angles to the vertical plane , parallel to , and situated above the horizontal plane at a distance equal to Ã'a . Problem 3 . To find ...
Página 198
... angles to xy , making A'a and B'b equal to the supposed height 50- A B of A , B above the horizontal plane , and join A'B ' ; then A'B ' is the elevation required . NOTE . — The line is inclined to both planes of projection as in Pr . 5 ...
... angles to xy , making A'a and B'b equal to the supposed height 50- A B of A , B above the horizontal plane , and join A'B ' ; then A'B ' is the elevation required . NOTE . — The line is inclined to both planes of projection as in Pr . 5 ...
Página 201
... xy , and from D ' , B ' and C , drop perpendiculars intersecting these lines in D , d , B , b , and C , c ; for as ... angles to xy ; and at the points where these meet the ground line , we have the elevations of the four corners of the ...
... xy , and from D ' , B ' and C , drop perpendiculars intersecting these lines in D , d , B , b , and C , c ; for as ... angles to xy ; and at the points where these meet the ground line , we have the elevations of the four corners of the ...
Términos y frases comunes
altitude angles to xy Atlas axis base BC Pr Bisect the angle bound in cloth circumference cone construct a triangle cube curve cylinder decagon describe a circle describe an arc describe the arc diameter BC distance divide draw a line draw a tangent draw lines edge ellipse equal circles equal in area equilateral triangle given circle given line given point given square ABCD given straight line given triangle ABC heptagon horizontal plane hyperbola inclined inscribe intersection isosceles triangle Join line BC line CD line of bisection lines parallel Maps mean proportional meeting number of equal octahedron parallel to xy parallelogram pentagon perpendicular to xy Philips plan and elevation PLANE GEOMETRY plane of projection point F points of division prism Problem projectors pyramid radii radius rectangle rectilineal figure regular polygon represent required circle rhombus right angles semicircle SOLID GEOMETRY square pyramid trapezium vertical plane
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Página 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.
Página 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.
Página 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.
Página 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.