Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult Classes |
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Page 318
... frustum of a If the upper part of the cone were cut off by a plane parallel to the base , the lower part would be called a frustum , and the surface of the frustum would evi- dently be found by subtracting the surface of the small cone ...
... frustum of a If the upper part of the cone were cut off by a plane parallel to the base , the lower part would be called a frustum , and the surface of the frustum would evi- dently be found by subtracting the surface of the small cone ...
Page 320
... frustum remaining . Ans . Surface of small cone = four - fifths of that of the frustum . 284. All surfaces of solids can be converted into actually 320 GEOMETRY COMBINED WITH ARITHMETIC .
... frustum remaining . Ans . Surface of small cone = four - fifths of that of the frustum . 284. All surfaces of solids can be converted into actually 320 GEOMETRY COMBINED WITH ARITHMETIC .
Page 323
... frustum of a cone , the barrel or cask ; the pipe , or hollow cylinder , the wedge ; with many others which we meet with in practice . Indeed , solids of any form can be measured , either exactly , or approximately , by skilfully ...
... frustum of a cone , the barrel or cask ; the pipe , or hollow cylinder , the wedge ; with many others which we meet with in practice . Indeed , solids of any form can be measured , either exactly , or approximately , by skilfully ...
Page 332
... frustum ; and sup- pose the slant sides of the section through AB , and CD , to meet in E , the vertex of the complete cone , of which the frustum is a part . Let CF be drawn parallel to DB , the height of the frustum . Then , since AFC ...
... frustum ; and sup- pose the slant sides of the section through AB , and CD , to meet in E , the vertex of the complete cone , of which the frustum is a part . Let CF be drawn parallel to DB , the height of the frustum . Then , since AFC ...
Page 333
... frustum = 22 × 74 √ cub . in . 21 By 2nd method , since radius of mid - section = " .. vol . of frustum = 22 × ( 1 ) * × 2 √2 , 7 22 = x734 × 2 cub . in , 21 By Rule , vol . of frustum = 22 x2√2x · 4o + 3 + 4 × 7 6 22 × 74 / 2 cub ...
... frustum = 22 × 74 √ cub . in . 21 By 2nd method , since radius of mid - section = " .. vol . of frustum = 22 × ( 1 ) * × 2 √2 , 7 22 = x734 × 2 cub . in , 21 By Rule , vol . of frustum = 22 x2√2x · 4o + 3 + 4 × 7 6 22 × 74 / 2 cub ...
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Common terms and phrases
ABCDEF angular points base bisect centre chain chord circular circum circumference circumscribing circle compasses cone construction cubic curved cylinder describe a circle diagonal diameter distance divided draw a straight drawn edge equal angles equal arcs equilateral triangle feet find the area foot frustum given angle given circle given line given point given ratio given straight line given triangle greater height Hence hexagon inscribed instrument intersecting length Let ABCD magnitude measure meet number of sides opposite angle parallelogram parallelopiped perimeter perpendicular plane surface points of division prism PROB produced PROP proportional Protractor radii radius rectangle rectangle contained regular polygon right angles ruler scale segment semi-circle shew shewn similar triangles square of AB square of AC subtends suppose tangent trapezium triangle ABC unit vernier vertex whole yards