A course of geometrical drawing |
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Seite 18
... respectively parallel to a E , ED , D C , C B. The points of intersection of these lines , with those first drawn , determine the Fig . a b c d e . Second Solution . Having drawn the diagonals of the given figure , take the line ab and ...
... respectively parallel to a E , ED , D C , C B. The points of intersection of these lines , with those first drawn , determine the Fig . a b c d e . Second Solution . Having drawn the diagonals of the given figure , take the line ab and ...
Seite 31
... respectively , parallel to them . It will be observed ( see Prob . 9 ) that this construction is not strictly geometrical . PROBLEM 16 . To divide a line proportionally to a given divided line . A d Fig . 33 . Let A B and C D B C D be ...
... respectively , parallel to them . It will be observed ( see Prob . 9 ) that this construction is not strictly geometrical . PROBLEM 16 . To divide a line proportionally to a given divided line . A d Fig . 33 . Let A B and C D B C D be ...
Seite 38
... respectively , 1 and 2 units . Then by Euc . 1. , 47 , — ( A B ) 2 + ( BC ) = ( A c ) , or ( A c ) = 1o + 5 ; therefore , a c = √5 . 22 - A B From A , erect a perpendicular A D equal A B. Then ( A D ) 2 + ( AC ) 2 = ( CD ) 2 , or ( DC ) ...
... respectively , 1 and 2 units . Then by Euc . 1. , 47 , — ( A B ) 2 + ( BC ) = ( A c ) , or ( A c ) = 1o + 5 ; therefore , a c = √5 . 22 - A B From A , erect a perpendicular A D equal A B. Then ( A D ) 2 + ( AC ) 2 = ( CD ) 2 , or ( DC ) ...
Seite 31
... respectively , parallel to them . It will be observed ( see Prob . 9 ) that this construction is not strictly geometrical . PROBLEM 16 . To divide a line proportionally to a given divided line . Fig . 33 . Let A B and C D с B C D be the ...
... respectively , parallel to them . It will be observed ( see Prob . 9 ) that this construction is not strictly geometrical . PROBLEM 16 . To divide a line proportionally to a given divided line . Fig . 33 . Let A B and C D с B C D be the ...
Seite 31
... respectively , parallel to them . It will be observed ( see Prob . 9 ) that this construction is not strictly geometrical . PROBLEM 16 . To divide a line proportionally to a given divided line . Fig . 33 . Let A B and C D B C Ꭰ be the ...
... respectively , parallel to them . It will be observed ( see Prob . 9 ) that this construction is not strictly geometrical . PROBLEM 16 . To divide a line proportionally to a given divided line . Fig . 33 . Let A B and C D B C Ꭰ be the ...
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Häufige Begriffe und Wortgruppen
A B C D angle a b c angle B A C angle contained angles to B L base Bisect chord cone conical surface cutting A B describe a circle describe an arc diameter dicular dihedral angle draw a line Draw the plan ellipse feet fourth proportional furlongs geometrical given angle given circle given line given point given straight line hori horizontal distances horizontal plane horizontal trace inches long inclined at 40 isosceles triangle Join a b Let A B C line A B line joining lines drawn mean proportional number of sides parallel to B L pentagon perpen perpendicular to A B plane containing plane inclined plane of projection polygon primary division Prob PROBLEM real length rectangle representative fraction required plane right angles right-angled triangle sector shown square equal tangent transverse distance vertical plane vertical projection vertical trace yards zontal
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Seite 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Seite 12 - Through a given point to draw a line parallel to a given straight line. Let C be the given point, and AB the given line.
Seite 4 - Circle is a plane figure bounded by one uniformly curved line, bed (Fig. 16), called the circumference, every part of which is equally distant from a point within it, called the centre, as a.
Seite 4 - Hexagon, of six sides; a Heptagon, seven; an Octagon, eight; a Nonagon, nine ; a Decagon, ten ; an Undecagon, eleven ; and a Dodecagon, twelve sides.
Seite 23 - 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 sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Seite 23 - A as a centre and radius equal to the sum of the radii of the given circles ; and continue as before, except that BE and AD will now be on opposite sides of AB. The two straight lines which are thus drawn to touch the two given circles can be shewn to intersect AB at the same point. 5. To describe a circle which shall pass through three • given points not in the same straight line. This is solved in Euclid IV. 5. 6. To describe a circle...
Seite 29 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Seite 32 - The projection of a line upon a plane is the locus of the projections of all points of the line upou the plane.
Seite 48 - ... quarter of an inch in depth at several times, allowing sufficient intervals for the fluid to stain the stone in that plane, 4, 3, 2, 1, it has fallen to at the last abstraction. These stains will present a series of horizontal lines or contours, 4, 3, 2, 1, all round the surface of the stone ; and if we examine the stone thus prepared, looking down upon the top, we shall see that the steepness and REPRESENTATION OF THE GROUND.
Seite 57 - IF two parallel planes be cut by another plane, their common sections with it are parallels.* Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with it be EF, GH ; EF is parallel to GH.