Elements of Geometry |
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Page 234
Q. XCVI . What is the area of the circle of which the equator is the circumference ? Ans . 49344812,4 square miles . Q. XCVII . What is the area of a sector whose arc is 90 ° , the diameter being 20 feet ? Ans . 78,54 square feet .
Q. XCVI . What is the area of the circle of which the equator is the circumference ? Ans . 49344812,4 square miles . Q. XCVII . What is the area of a sector whose arc is 90 ° , the diameter being 20 feet ? Ans . 78,54 square feet .
Page 235
What is the solidity of a cylinder whose altitude and the circumference of whose base are each 20 feet ? ( 516. ) Ans . 636,62 solid feet . Q. CX . What is the convex surface of a right triangular prism whose altitude is 20 feet ...
What is the solidity of a cylinder whose altitude and the circumference of whose base are each 20 feet ? ( 516. ) Ans . 636,62 solid feet . Q. CX . What is the convex surface of a right triangular prism whose altitude is 20 feet ...
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ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence