A graduated course of problems in practical plane and solid geometry |
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Página 137
( A. ) “ Parallelograms upon the same base , and between the same parallels , are equal to each other " ( in area ) .— Euc . I. , 35. Ec . ABCD , DBCFD F B NOTE 1 .- " Between the same parallels ' means having the same altitude .
( A. ) “ Parallelograms upon the same base , and between the same parallels , are equal to each other " ( in area ) .— Euc . I. , 35. Ec . ABCD , DBCFD F B NOTE 1 .- " Between the same parallels ' means having the same altitude .
Página 138
( C. ) “ Triangles upon the same base and between the same parallels are equal to one another ( in area ) .— Euc . I. , 37. EX . ABC , DBC E A F B a NOTE . - It can be readily seen that ABC is a half of the parallelogram EBCA , and DBC ...
( C. ) “ Triangles upon the same base and between the same parallels are equal to one another ( in area ) .— Euc . I. , 37. EX . ABC , DBC E A F B a NOTE . - It can be readily seen that ABC is a half of the parallelogram EBCA , and DBC ...
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altitude arc cutting Atlas axis base called centre circumference complete cone construct contained curve cutting cylinder describe a circle describe an arc describe arcs determine diagonal distance divide division draw a line draw lines drawn edge elevation ellipse equal equal in area equilateral triangle extremities face figure four given circle given line given point given triangle ABC half height hexagon horizontal plane inches inclined inscribe intersection isosceles triangle Join length lines parallel Maps mark meeting NOTE obtain parallel parallelogram pass pentagon perpendicular Philips plane of projection polygon prism Problem produced projection projectors pyramid radii radius rectangle rectilineal figure regular represent required circle respectively right angles scale seen semicircle sides similar solid square tangent touching traces 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.
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