First Practical Lines of Geometrical Drawing ...Williams and Norgate, 1865 - 169 páginas |
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Página 12
... join AD . Repeat the same operation for any other angle . When the angle exceeds 60 ° divide its value by 2 or 3 , as may be necessary , and after having obtained the chord of that fraction of the angle , step it twice or three times on ...
... join AD . Repeat the same operation for any other angle . When the angle exceeds 60 ° divide its value by 2 or 3 , as may be necessary , and after having obtained the chord of that fraction of the angle , step it twice or three times on ...
Página 18
... joins the points of section shall be parallel to the remaining side of the triangle . Prop . 33. - Theorem . In equal circles , angles whether at the centres or circumferences have the same ratio which the circumferences on which they ...
... joins the points of section shall be parallel to the remaining side of the triangle . Prop . 33. - Theorem . In equal circles , angles whether at the centres or circumferences have the same ratio which the circumferences on which they ...
Página 19
... join CF , the perpendicular required . 2. At the extremity B , of a given line AB , to erect a per- pendicular . ( Euc . 31 , III . ) Any where above AB determine the point C. From C as a centre , with radius CB , describe the arc DB ...
... join CF , the perpendicular required . 2. At the extremity B , of a given line AB , to erect a per- pendicular . ( Euc . 31 , III . ) Any where above AB determine the point C. From C as a centre , with radius CB , describe the arc DB ...
Página 20
... join GL , meeting AB in M. 5. Through a given point C , to draw a line parallel to a given line AB . ( Euc . 27 , I ... joining CB , and from each of the other points draw parallels to CB . N.B. - It is evident that this problem , which ...
... join GL , meeting AB in M. 5. Through a given point C , to draw a line parallel to a given line AB . ( Euc . 27 , I ... joining CB , and from each of the other points draw parallels to CB . N.B. - It is evident that this problem , which ...
Página 21
... join DL . The angle KDL will be equal to BAC . 10. Upon a given line HK , to construct any rectilineal figure similar and equi - angular to a given figure of the same , or of a different size . ( Euc . 8 , I. and 27 , III . ) Let AB ...
... join DL . The angle KDL will be equal to BAC . 10. Upon a given line HK , to construct any rectilineal figure similar and equi - angular to a given figure of the same , or of a different size . ( Euc . 8 , I. and 27 , III . ) Let AB ...
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Términos y frases comunes
altitude angle of 30 angle of 45 axis base bisect centre circumference compass cone Construct a scale contours cube cylinder describe a circle describe the arc Descriptive Geometry determine the position diagonal scales diameter dihedral angle divided draw a line ellipse equal feet long forming an angle furlongs given line given point ground line height horizontal plane horizontal projection horizontal trace inch side inches edge inches high inches long isometric isometric projection join length miles oblique obtained parallel to x y parallelogram pendicular pentagon pentagonal pyramid perpendicular to x y perspective picture plane plane inclined planes of projection polygon primary division prism protractor pyramid radius ray of light representative fraction rhombus right angles sector shadow slope space square square pyramid straight line tangent tical tion versts vertical plane vertical projection vertical trace
Pasajes populares
Página 5 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Página 6 - If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it.
Página 5 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Página 5 - If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right angles.
Página 6 - IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle...
Página 57 - 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.
Página 57 - A prism is a solid figure contained by plane figures, of which two that are opposite are equal, similar, and parallel to one another ; and the others parallelograms. XIV. A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Página 58 - The base of .a cone is the circle described by that side containing the right angle which revolves.
Página 6 - In equal circles, angles, whether at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another ; so also have the sectors.
Página 5 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.