A graduated course of problems in practical plane and solid geometry |
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Resultat 1-5 av 57
Side 5
... a right angle . A degree is divided into 60 equal parts , called minutes , marked
' ; and each minute into 60 equal , parts , called seconds , marked " . Thus , 44°
30 ' 27 " reads — 44 degrees , 30 minutes , 27 seconds . Problem 1 . To bisect a ...
... a right angle . A degree is divided into 60 equal parts , called minutes , marked
' ; and each minute into 60 equal , parts , called seconds , marked " . Thus , 44°
30 ' 27 " reads — 44 degrees , 30 minutes , 27 seconds . Problem 1 . To bisect a ...
Side 6
To bisect a given straight line AB , or a given arc AB ; that is , to divide it into two
equal parts . · DF 1 . From point A as centre , with any radius greater ... HK is
perpendicular to A B , and at right angles to it . NOTE 2 . — The same method is
to be ...
To bisect a given straight line AB , or a given arc AB ; that is , to divide it into two
equal parts . · DF 1 . From point A as centre , with any radius greater ... HK is
perpendicular to A B , and at right angles to it . NOTE 2 . — The same method is
to be ...
Side 9
... towards A . Join DC , and bisect it in E ( Pr . 1 ) . 2 . From E as centre , with ED
as radius , describe an arc cutting AB in F . 3 . Draw the line CF , and it will be
perpendicular to the given straight line AB . Problem 4 . To bisect a given angle
BAC ...
... towards A . Join DC , and bisect it in E ( Pr . 1 ) . 2 . From E as centre , with ED
as radius , describe an arc cutting AB in F . 3 . Draw the line CF , and it will be
perpendicular to the given straight line AB . Problem 4 . To bisect a given angle
BAC ...
Side 10
To bisect a given angle BAC . 1 . From point A as centre ... Draw the straight line
AH , and it will bisect the given angle BAC . Problem 5 . To trisect a given right
angle ABC , that is , to divide it into three equal angles . A E C 1 . From point B as
...
To bisect a given angle BAC . 1 . From point A as centre ... Draw the straight line
AH , and it will bisect the given angle BAC . Problem 5 . To trisect a given right
angle ABC , that is , to divide it into three equal angles . A E C 1 . From point B as
...
Side 11
Draw the straight lines BF and BG , and the given right angle ABC will be
trisected , that is , divided into three equal angles . Note . It is only ... In the same
manner , an angle of 221° may be constructed by bisecting the angle DBA .
Problem 7 .
Draw the straight lines BF and BG , and the given right angle ABC will be
trisected , that is , divided into three equal angles . Note . It is only ... In the same
manner , an angle of 221° may be constructed by bisecting the angle DBA .
Problem 7 .
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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 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.