Posts tagged 'segment-of-circle'
G.126 segment of a circle
A:term:**segment of a circle** <segment-of-circle> is the:term:figure <G.9> contained by a:term:segment <G.4> and a arc of a:term:circle <G.10>.
G.128 no two similar unequal circle segments on the same chord
On the same segment and on the same side of it, there cannot be constructed two similar and unequal segments of circles.
G.130 complete a circle from a given segment
Given a segment of a circle, complete the full circle of which it is a segment.
G.140 alternate segment theorem
If a line touches a circle and a chord is drawn from the point of contact, the angles which the chord makes with the tangent equal the angles in the alternate segments of the circle.
G.141 construct a circle segment on a chord admitting a given angle
On a given segment, construct a segment of a circle admitting an angle equal to a given rectilineal angle.
G.149 inscribe a triangle in a circle equiangular with a triangle
Inscribe in a given circle a triangle equiangular with a given triangle.
G.162 construct a golden isosceles triangle
Construct an isosceles triangle having each of the angles at the base double the remaining angle.
G.552 circles squares diameters
Circles are to one another as the squares on the diameters.
G.563 cone part cylinder
Any cone is a third part of the cylinder which has the same base with it and equal height.
G.565 cones cylinders height
:term:`Cones <G.561>` and :term:`cylinders <G.562>` which are of the same :term:`height <G.209>` are to one another as their bases.
G.570 similar cones cylinders
Similar cones and cylinders are to one another in the triplicate ratio of the diameters in their bases.