A graduated course of problems in practical plane and solid geometry |
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Resultat 1-5 av 81
Side 11
Note . It is only the right angle which ( strictly speaking ) can be trisected by a
plane geometrical construction . Problem 6 . To construct an angle of 45° at point
B on a given line AB . 1 . At point B , erect a perpendicular to AB ( Pr . 2 ) . ABC
will ...
Note . It is only the right angle which ( strictly speaking ) can be trisected by a
plane geometrical construction . Problem 6 . To construct an angle of 45° at point
B on a given line AB . 1 . At point B , erect a perpendicular to AB ( Pr . 2 ) . ABC
will ...
Side 12
By means of this problem , we might construct other angles . Thus , if DBA be
trisected by drawing lines to B , we obtain an angle of 20° . Bisect that , and we
obtain an angle of 10° . Again , if angle FBC be trisected , by drawing lines to B ,
we ...
By means of this problem , we might construct other angles . Thus , if DBA be
trisected by drawing lines to B , we obtain an angle of 20° . Bisect that , and we
obtain an angle of 10° . Again , if angle FBC be trisected , by drawing lines to B ,
we ...
Side 23
14 . A chord is any straight line drawn across a circle , provided that it does not
pass through the centre . Ex . ABProblem 18 . To construct an equilateral triangle
on a given base AB . 1 . From centre A , with radius AB , describe an arc BD . 2 .
14 . A chord is any straight line drawn across a circle , provided that it does not
pass through the centre . Ex . ABProblem 18 . To construct an equilateral triangle
on a given base AB . 1 . From centre A , with radius AB , describe an arc BD . 2 .
Side 24
To construct an equilateral triangle having a given height ABE B F 1 . From the
extremities of the line AB , draw CAD and EBF perpendicular to it ( Pr . 2 ) . 2 .
From A as centre with any radius , describe a semicircle cutting CAD in C and D .
3 .
To construct an equilateral triangle having a given height ABE B F 1 . From the
extremities of the line AB , draw CAD and EBF perpendicular to it ( Pr . 2 ) . 2 .
From A as centre with any radius , describe a semicircle cutting CAD in C and D .
3 .
Side 26
To construct a triangle , its base AB and the angles at the base A and B being
given . 1 . Draw line CD equal to AB . 2 . Make angle C equal to angle A , and
angle D equal to angle B ( Pr . 10 ) . 3 . Produce the sides until they meet in E .
Then ...
To construct a triangle , its base AB and the angles at the base A and B being
given . 1 . Draw line CD equal to AB . 2 . Make angle C equal to angle A , and
angle D equal to angle B ( Pr . 10 ) . 3 . Produce the sides until they meet in E .
Then ...
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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 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.