A graduated course of problems in practical plane and solid geometry |
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Página 1
... centre of the dot . Ex . A- A 2. A line has length only , and no breadth , so that it merely indi- cates direction . Ex . AB- A B The ends of lines are points , and when lines cut each other they are said to intersect , and the point ...
... centre of the dot . Ex . A- A 2. A line has length only , and no breadth , so that it merely indi- cates direction . Ex . AB- A B The ends of lines are points , and when lines cut each other they are said to intersect , and the point ...
Página 4
... centre . Ex . A- .A 15. An arc is any portion of the circumference . Ex . AB- B A 16. A radius ( plural radiï ) is a straight line drawn from the centre to the circumference . Ex . AB- B 17. A diameter is a straight line drawn through ...
... centre . Ex . A- .A 15. An arc is any portion of the circumference . Ex . AB- B A 16. A radius ( plural radiï ) is a straight line drawn from the centre to the circumference . Ex . AB- B 17. A diameter is a straight line drawn through ...
Página 5
... centre of a circle are proportional to the arcs on which they stand . Hence , a quadrant will contain an angle of 90 ° , i.e. , a right angle . A degree is divided into 60 equal parts , called minutes , marked ' ; and each minute into ...
... centre of a circle are proportional to the arcs on which they stand . Hence , a quadrant will contain an angle of 90 ° , i.e. , a right angle . A degree is divided into 60 equal parts , called minutes , marked ' ; and each minute into ...
Página 6
... centre , with any radius greater than half the line AB , describe the arc DE . 2. From point B as centre , with the same radius , describe the arc FG , intersecting the arc DE in H and K. 3. Draw the straight line HK , and the given ...
... centre , with any radius greater than half the line AB , describe the arc DE . 2. From point B as centre , with the same radius , describe the arc FG , intersecting the arc DE in H and K. 3. Draw the straight line HK , and the given ...
Página 7
... centre , with any radius , describe arc FG ; and from E as centre , with the same radius , inter- sect the arc FG in the point H. 3 , Draw the straight line HC , and it will be perpendicular the given straight line AB . D C E NOTE 1 ...
... centre , with any radius , describe arc FG ; and from E as centre , with the same radius , inter- sect the arc FG in the point H. 3 , Draw the straight line HC , and it will be perpendicular the given straight line AB . D C E NOTE 1 ...
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.