A graduated course of problems in practical plane and solid geometry |
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Página 12
... 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 might obtain an angle of 5 ° . Problem 8 . To draw a line parallel to a given line AB , at a given ...
... 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 might obtain an angle of 5 ° . Problem 8 . To draw a line parallel to a given line AB , at a given ...
Página 25
... of the given triangle ABC . E NOTE . If the line AE does not fall on the base , the base must be produced , and then we can obtain the altitude of the triangle as above . Problem 22 . To find the centre of a given PRACTICAL GEOMETRY . 25.
... of the given triangle ABC . E NOTE . If the line AE does not fall on the base , the base must be produced , and then we can obtain the altitude of the triangle as above . Problem 22 . To find the centre of a given PRACTICAL GEOMETRY . 25.
Página 53
... obtained . B 1. Draw the chord AB , and bisect it in C ( Pr . 1 ) . 2. From the point C , erect a perpendicular CD to AB ( Pr . 2 ) . 3. Join DA , and make the angle DAE equal to the angle DAC ( Pr . 10 ) . 4. Produce AE , and it is the ...
... obtained . B 1. Draw the chord AB , and bisect it in C ( Pr . 1 ) . 2. From the point C , erect a perpendicular CD to AB ( Pr . 2 ) . 3. Join DA , and make the angle DAE equal to the angle DAC ( Pr . 10 ) . 4. Produce AE , and it is the ...
Página 54
... obtained . A B с D E 1. Draw any two chords AB , BC . 2. Make the angle BCD equal to the angle ABC ( Pr . 10. ) 3. Cut off CE equal to AB ; then point E would be in the continuation of the given arc ABC . Problem 61 . To describe the ...
... obtained . A B с D E 1. Draw any two chords AB , BC . 2. Make the angle BCD equal to the angle ABC ( Pr . 10. ) 3. Cut off CE equal to AB ; then point E would be in the continuation of the given arc ABC . Problem 61 . To describe the ...
Página 69
... obtain O , the centre of the circle . 9. Mark off , on the circumference , the divisions 1 2 , 23 , & c . , equal to B 1. Join 12 , 23 , & c . , and a nonagon is constructed on the given line AB . Problem 76 . To construct a regular ...
... obtain O , the centre of the circle . 9. Mark off , on the circumference , the divisions 1 2 , 23 , & c . , equal to B 1. Join 12 , 23 , & c . , and a nonagon is constructed on the given line AB . Problem 76 . To construct a regular ...
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 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.