A graduated course of problems in practical plane and solid geometry |
Dentro del libro
Página 137
... upon the same base , and between the same parallels , are equal to each other " ( in area ) .— Euc . I. , 35. Ex . ABCD , DBCF F B " " NOTE 1 .- " Between the same parallels means having the same altitude . NOTE 2. - The altitude must ...
... upon the same base , and between the same parallels , are equal to each other " ( in area ) .— Euc . I. , 35. Ex . ABCD , DBCF F B " " NOTE 1 .- " Between the same parallels means having the same altitude . NOTE 2. - The altitude must ...
Página 138
... upon the same base and between the same parallels are equal to one another " ( in area ) .— Euc . I. , 37. Ex . ABC , DBC- E F NOTE . - It can be readily seen that ABC is a half of the paral- lelogram EBCA , and DBC is a half of the ...
... upon the same base and between the same parallels are equal to one another " ( in area ) .— Euc . I. , 37. Ex . ABC , DBC- E F NOTE . - It can be readily seen that ABC is a half of the paral- lelogram EBCA , and DBC is a half of the ...
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 294 - Young Student's Atlas, Comprising Thirty-six Maps of the Principal Countries of the World, printed in colors. Edited by W. Hughes, FRGS Imperial 41.0., bound in cloth, 33. 6d. Philips Atlas for Beginners, Comprising Thirty-two Maps of the Principal Countries of the World, constructed from the best authorities, and engraved in the best style. New and enlarged edition, with a valuable Consulting Index, on a new plan.
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.