Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
From inside the book
Results 1-5 of 81
Page 3
... revoloids ; which , from their organization , seem to serve as a connecting link between rectilinear and curvelinear solids . The properties of those solids are discussed , and their surfaces and solidities are de- termined . Some new ...
... revoloids ; which , from their organization , seem to serve as a connecting link between rectilinear and curvelinear solids . The properties of those solids are discussed , and their surfaces and solidities are de- termined . Some new ...
Page 5
... Revoloids and Solids formed by the Revolution of the Conic Sections , Definitions , Quadrature of the Surface of a ... Revoloid , its Cubature determined , Sections of Solids formed by the Revolution of the Conic Sections , Scholia and ...
... Revoloids and Solids formed by the Revolution of the Conic Sections , Definitions , Quadrature of the Surface of a ... Revoloid , its Cubature determined , Sections of Solids formed by the Revolution of the Conic Sections , Scholia and ...
Page 6
... Revoloid , • Segments of a Sphere or Revoloid , Segments of a Spheroid ,. Mensuration of the Paraboloid , & c . , Mensuration of the Hyperboloid , & c . , Circular Elliptical and Parabolic Spindles , Ungulas , Rings , Gauging of Casks ...
... Revoloid , • Segments of a Sphere or Revoloid , Segments of a Spheroid ,. Mensuration of the Paraboloid , & c . , Mensuration of the Hyperboloid , & c . , Circular Elliptical and Parabolic Spindles , Ungulas , Rings , Gauging of Casks ...
Page 53
... base , the solids erected on those bases must be in the relation of their bases ; hence the parabolic pyramid is = its circum- scribing quadrangular pyramid . BOOK III . ON REVOLOIDS AND SOLIDS FORMED BY THE SEGMENTS AND UNGULAS . 53 333.
... base , the solids erected on those bases must be in the relation of their bases ; hence the parabolic pyramid is = its circum- scribing quadrangular pyramid . BOOK III . ON REVOLOIDS AND SOLIDS FORMED BY THE SEGMENTS AND UNGULAS . 53 333.
Page 54
Nathan Scholfield. BOOK III . ON REVOLOIDS AND SOLIDS FORMED BY THE REVOLUTIONS OF THE CONIC SECTIONS . DEFINITIONS . 1. A REVOLOID is a solid generated by the continued semi- revolution of a polygon on axes parallel to the sides of the ...
Nathan Scholfield. BOOK III . ON REVOLOIDS AND SOLIDS FORMED BY THE REVOLUTIONS OF THE CONIC SECTIONS . DEFINITIONS . 1. A REVOLOID is a solid generated by the continued semi- revolution of a polygon on axes parallel to the sides of the ...
Other editions - View all
Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield No preview available - 2015 |
Common terms and phrases
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Popular passages
Page 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 35 - The sum of any two sides of a triangle, is greater than the third side.
Page 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Page 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Page 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Page 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Page 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.