A graduated course of problems in practical plane and solid geometry |
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Página v
... INSCRIBED FIGURES 87 VIII . DESCRIBED FIGURES 115 · IX . PROPORTIONALS 124 X. SIMILAR FIGURES 131 XI . EQUIVALENT AREAS -137 XII . MISCELLANEOUS PROBLEMS 167 XIII . SCALES . 181 PRACTICAL SOLID GEOMETRY . SECTION PAGE I. DEFINITIONS , &
... INSCRIBED FIGURES 87 VIII . DESCRIBED FIGURES 115 · IX . PROPORTIONALS 124 X. SIMILAR FIGURES 131 XI . EQUIVALENT AREAS -137 XII . MISCELLANEOUS PROBLEMS 167 XIII . SCALES . 181 PRACTICAL SOLID GEOMETRY . SECTION PAGE I. DEFINITIONS , &
Página 47
... the required number of parts ( say four ) ( Pr . 15 ) in the points 1 , 2 , 3 . 1 2 3 2. Bisect A1 , and describe a semicircle on it , and a similar one below 3B . 3. Bisect 1B , the remaining part of the line PRACTICAL GEOMETRY . 47.
... the required number of parts ( say four ) ( Pr . 15 ) in the points 1 , 2 , 3 . 1 2 3 2. Bisect A1 , and describe a semicircle on it , and a similar one below 3B . 3. Bisect 1B , the remaining part of the line PRACTICAL GEOMETRY . 47.
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... similar one on the line 43 . 4. With points 1 and 3 as centres , describe semicircles on the line A 2 and below 2 B respectively . Then the given circle will be divided into the required four parts which are equal both in area and ...
... similar one on the line 43 . 4. With points 1 and 3 as centres , describe semicircles on the line A 2 and below 2 B respectively . Then the given circle will be divided into the required four parts which are equal both in area and ...
Página 73
... NOTE 3. - When the axis is not perpendicular to the base , the cone is said to be an oblique cone . NOTE 4. - If a right cone be cut in two parts by a plane parallel to the base , the section will be similar to ELLIPSES, 1.
... NOTE 3. - When the axis is not perpendicular to the base , the cone is said to be an oblique cone . NOTE 4. - If a right cone be cut in two parts by a plane parallel to the base , the section will be similar to ELLIPSES, 1.
Página 74
... similar to the base , i.e. , a circle . But if a cone be cut in some other way , the section has a distinctive name . Thus- 2. An ellipse is a section of a cone , produced by a plane which is not parallel to the base . Ex . AB- Ъ A NOTE ...
... similar to the base , i.e. , a circle . But if a cone be cut in some other way , the section has a distinctive name . Thus- 2. An ellipse is a section of a cone , produced by a plane which is not parallel to the base . Ex . AB- Ъ A NOTE ...
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.