A beetle, <em>Harpalus caliginosus</em>, from the under side, with all the pieces named.

Beetle

A beetle, Harpalus caliginosus, from the under side, with all the pieces named.

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the cone.

Circle

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the…

Illustration of circle with parts drawn to show area.

Area of a Circle by parts

Illustration of circle with parts drawn to show area.

Illustration of an ellipse.

Ellipse

Illustration of an ellipse.

Illustration showing an ellipse formed by the intersection of the surface of a cone with a plane neither parallel nor perpendicular to a straight line of the surface of the cone nor the axis.

Ellipse

Illustration showing an ellipse formed by the intersection of the surface of a cone with a plane neither…

A graph of tan ellipse with Foci and Center.

Graph of Ellipse with Foci and Center Labeled

A graph of tan ellipse with Foci and Center.

Illustration showing an ellipse (and circle) as a section from a cylinder.

Section of a Cylinder Showing an Ellipse

Illustration showing an ellipse (and circle) as a section from a cylinder.

Illustration showing a hyperbola as a curve formed by the intersection of the surface of a cone with a plane parallel to the axis of the cone.

Hyperbola

Illustration showing a hyperbola as a curve formed by the intersection of the surface of a cone with…

Illustration showing the definition of a hyperbola as a conic section.

Conic Section Showing Hyperbola

Illustration showing the definition of a hyperbola as a conic section.

"A regular township, according to United States surveys, is 6 miles square and is divided into 36 equal parts or sections, each section containing 640 acres and measuring one mile square...How many acres or land in 4.75 sections? How many more acres in 7.5 sections than there are in 3 sections? How many acres of land in .5 section?, 2.5 sections?, 5 sections? How many more acres in 3.5 sections than in 2 sections?" -Foster, 1921

Land Measurement

"A regular township, according to United States surveys, is 6 miles square and is divided into 36 equal…

Illustration showing a parabola as a curve formed by the intersection of the surface of a cone with a plane parallel to a straight line of the surface of the cone.

Parabola

Illustration showing a parabola as a curve formed by the intersection of the surface of a cone with…

Illustration showing the definition of a parabola as a conic section. The plane cuts the cone parallel to one element.

Conic Section Showing Parabola

Illustration showing the definition of a parabola as a conic section. The plane cuts the cone parallel…

"Running-part. Naut., that part of a rope which is hauled upon is called the hauling-part (b), the part between the blocks is the running-part (a), and the part which is made fast is referred to as the standing-part (c)." -Whitney, 1911

Running Part

"Running-part. Naut., that part of a rope which is hauled upon is called the hauling-part (b), the part…

Ideal section through an insect. -<em>a</em>, alimentary canal; <em>h</em>, heart; <em>n</em>, nerve-cord; <em>s</em>, stigmata; <em>t</em>, tracheal tubes; <em>l</em>, legs; <em>w</em>, wings.

Transverse Thorax

Ideal section through an insect. -a, alimentary canal; h, heart; n, nerve-cord;…

Illustration showing intersecting straight lines meeting to form a triangle. It is formed by the intersection of the surface of a cone with a plane parallel to the axis and actually containing the axis.

Degenerate Conic Forming Triangle

Illustration showing intersecting straight lines meeting to form a triangle. It is formed by the intersection…