Illustration used to construct and oval when given the width.

Construction of Oval

Illustration used to construct and oval when given the width.

Illustration used to draw a parabola when given the base and height.

Construction of Parabola Given Base and Height

Illustration used to draw a parabola when given the base and height.

An illustration showing how to construct a parabola by plotting. "Having given the axis, vertex, and focus of the parabola. Divide the transverse axis into any desired number of parts 1, 2, 3, etc., and draw ordinates through the divisions; take the distance A1, and set it off on the 1st ordinate from the focus f to a, so that A1 = fa. Repeat the same operation with the other ordinates - that is, set off the distance A5 from f to e, so that A5 = fe; and so the parabola is constructed."

Construction Of A Parabola

An illustration showing how to construct a parabola by plotting. "Having given the axis, vertex, and…

An illustration showing how to construct a parabola using a pencil and a string. "Having given the two axes, vertex, and focus of the parabola. Take a square cde, and fix to it a string at c; fix the other end of the string at the focus f. The length of the sting should be such that when the square is in the position of the axis Af, the string should reach to the vertex A. Move the square along BB, and the pencil P will describe the parabola."

Construction Of A Parabola

An illustration showing how to construct a parabola using a pencil and a string. "Having given the two…

An illustration showing how to construct a parabola. "Given the vertex A, axis x, and a point P. Draw AB at right angle to x, and BP parallel to x, divide AB and BP into an equal number of equal parts. From the vertex A draw lines to the divisions on BP, from the divisions on AB draw the ordinates parallel to x, the corresponding intersections are points in the parabola."

Construction Of A Parabola

An illustration showing how to construct a parabola. "Given the vertex A, axis x, and a point P. Draw…

An illustration showing how to construct a parabola. "Given the axis of ordinate B, and vertex A. Take A as a center and describe a semicircle from B which gives the focus of the parabola at f. Draw any ordinate y at right angle to the abscissa Ax, take a as radius and the focus f as a center, then intersect the ordinate y, by a circle-arc in P which will be a point in the parabola. In the same manner the whole Parabola is constructed."

Construction Of A Parabola

An illustration showing how to construct a parabola. "Given the axis of ordinate B, and vertex A. Take…

Illustration used to show how to draw a parabola when the axis and longest double ordinate is given.

Construction Of Parabola

Illustration used to show how to draw a parabola when the axis and longest double ordinate is given.

Illustration of the construction used to create a line parallel to a given line.

Construction Of A Parallel Line

Illustration of the construction used to create a line parallel to a given line.

Illustration used to show how to draw a parallelogram when given the sides and one of the angles.

Construction Of Parallelogram

Illustration used to show how to draw a parallelogram when given the sides and one of the angles.

Illustration of a how to construct a square equivalent to a given parallelogram.

Parallelogram Used to Construct Equivalent Square

Illustration of a how to construct a square equivalent to a given parallelogram.

Illustration used to show how to inscribe a regular pentagon in a given circle.

Construction Of Pentagon Inscribed In Circle

Illustration used to show how to inscribe a regular pentagon in a given circle.

Illustration of a how to construct a pentagon similar to two given pentagons.

Pentagon Constructed to be Similar to Given Pentagons

Illustration of a how to construct a pentagon similar to two given pentagons.

Illustration used to construct a regular pentagon on a given line.

Construction of Regular Pentagon

Illustration used to construct a regular pentagon on a given line.

Illustration of the construction used to make a perpendicular bisector of a straight line.

Construction Of A Perpendicular Bisector Of A Straight Line

Illustration of the construction used to make a perpendicular bisector of a straight line.

Illustration of the construction used to create a perpendicular to a straight line at a given point.

Construction Of A Perpendicular To A Straight Line

Illustration of the construction used to create a perpendicular to a straight line at a given point.

Illustration of the construction used to create a perpendicular to a straight line from a given point not on the line.

Construction Of A Perpendicular To A Straight Line

Illustration of the construction used to create a perpendicular to a straight line from a given point…

Illustration used to show how to inscribe any regular polygon in a given circle.

Construction Of Polygon Inscribed In Circle

Illustration used to show how to inscribe any regular polygon in a given circle.

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Construction of Radii of a Circle

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Illustration used to show how to draw a regular polygon when given a side of the polygon.

Construction Of Regular Polygon

Illustration used to show how to draw a regular polygon when given a side of the polygon.

Illustration used to show how to inscribe a square in a given circle.

Construction Of Square Inscribed In Circle

Illustration used to show how to inscribe a square in a given circle.

Illustration used to construct a square on a given line.

Construction of Square on Given Line

Illustration used to construct a square on a given line.

Illustration of a square constructed upon the sum of two straight lines.

Square Constructed Upon the Sum of Two Straight Lines

Illustration of a square constructed upon the sum of two straight lines.

Illustration of a square constructed upon the difference of two straight lines.

Square Constructed Upon Difference of Lines

Illustration of a square constructed upon the difference of two straight lines.

Illustration of a square constructed upon the difference of two straight lines.

Square Constructed Upon Difference of Lines

Illustration of a square constructed upon the difference of two straight lines.

Illustration of a how to construct a square equivalent to the sum of two given squares.

Square Constructed to be Equal to the Sum of Two Given Squares

Illustration of a how to construct a square equivalent to the sum of two given squares.

Illustration of a how to construct a square equivalent to the difference of two given squares.

Square Constructed to be Equal to the Difference of Two Given Squares

Illustration of a how to construct a square equivalent to the difference of two given squares.

Illustration used to construct a square that shall be a multiple of any given square.

Construction of Multiple of a Square

Illustration used to construct a square that shall be a multiple of any given square.

Illustration used to construct a square that shall be in proportion to a given square.

Construction of Proportional Square

Illustration used to construct a square that shall be in proportion to a given square.

Illustration used to construct a square that shall be in proportion to a given square.

Construction of Proportional Square

Illustration used to construct a square that shall be in proportion to a given square.

Illustration used to show how to draw a straight line parallel to a straight line through a given point.

Parallel To Straight Line Construction

Illustration used to show how to draw a straight line parallel to a straight line through a given point.

Illustration used to show how to draw a perpendicular to a straight line from a given point on the line when the point is at or near the center of the line.

Perpendicular To Straight Line Construction

Illustration used to show how to draw a perpendicular to a straight line from a given point on the line…

Illustration used to show how to draw a perpendicular to a straight line from a given point on the line when the point is near the end of the line.

Perpendicular To Straight Line Construction

Illustration used to show how to draw a perpendicular to a straight line from a given point on the line…

Illustration used to show how to draw a perpendicular to a straight line from a given point that is not on the line and which lies nearly over the center of the line.

Perpendicular To Straight Line Construction

Illustration used to show how to draw a perpendicular to a straight line from a given point that is…

Illustration used to show how to draw a perpendicular to a straight line from a given point that is not on the line and which lies nearly over one end of the line.

Perpendicular To Straight Line Construction

Illustration used to show how to draw a perpendicular to a straight line from a given point that is…

Illustration used to show how to bisect a straight line.

Bisect A Straight Line

Illustration used to show how to bisect a straight line.

Illustration used to draw a tangent to a circle.

Construction of Tangent to a Circle

Illustration used to draw a tangent to a circle.

Illustration used to show how "to construct a tangent to a circle from a point outside."

Construction of a Tangent to a Circle

Illustration used to show how "to construct a tangent to a circle from a point outside."

Illustration used to construct a triangle given the length of the base and the two base angles.

Construction of Triangle Given Angles and Base

Illustration used to construct a triangle given the length of the base and the two base angles.

Illustration used to show how to draw a triangle when given two sides and the included angle of the triangle.

Construction Of Triangle

Illustration used to show how to draw a triangle when given two sides and the included angle of the…

Illustration used to construct an equilateral triangle on a given base.

Construction of an Equilateral Triangle

Illustration used to construct an equilateral triangle on a given base.