Elementary Geometry: With Applications in MensurationA. S. Barnes & Company, 1850 - 216 Seiten |
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Seite 7
... Fourth Book , Appendix - Regular Polygons , Of Planes and their Angles , Of Solids , Appendix , BOOK V. BOOK VI . 82-108 109-113 · 113-115 116-125 127-162 · 183-164 APPLICATIONS OF GEOMETRY . MENSURATION OF SURFACES , General Principles.
... Fourth Book , Appendix - Regular Polygons , Of Planes and their Angles , Of Solids , Appendix , BOOK V. BOOK VI . 82-108 109-113 · 113-115 116-125 127-162 · 183-164 APPLICATIONS OF GEOMETRY . MENSURATION OF SURFACES , General Principles.
Seite 8
... Regular Polygon , Area of Irregular Figures , Of the Circle , · Area of an Ellipse , Area of Circular Rings , MENSURATION OF SOLIDS , General Principles , · To find the Surface of a Prism , To find the Solidity of a Prism , To find the ...
... Regular Polygon , Area of Irregular Figures , Of the Circle , · Area of an Ellipse , Area of Circular Rings , MENSURATION OF SOLIDS , General Principles , · To find the Surface of a Prism , To find the Solidity of a Prism , To find the ...
Seite 67
... regular hexagon in a circle . Draw any radius , as AC . Then ap- ply the radius AC around the circum- ference , and it will give the chords AD , H DE , EF , FG , GH , and HA , which will be the sides of the regular hexagon . For , E the ...
... regular hexagon in a circle . Draw any radius , as AC . Then ap- ply the radius AC around the circum- ference , and it will give the chords AD , H DE , EF , FG , GH , and HA , which will be the sides of the regular hexagon . For , E the ...
Seite 68
... regular octagon in- scribed in the circle . If we again B bisect the arcs , and join the points of bisection , we shall have a regular polygon of sixteen sides . PROBLEM XXIII . To describe a square about a given circle . Draw the ...
... regular octagon in- scribed in the circle . If we again B bisect the arcs , and join the points of bisection , we shall have a regular polygon of sixteen sides . PROBLEM XXIII . To describe a square about a given circle . Draw the ...
Seite 82
... regular polygon A regular polygon is both equiangular and equilateral . 4. If the length of a line be computed in feet , one foo the unit of the line , and is called the linear unit . If the lengt of a line be computed in yards , one ...
... regular polygon A regular polygon is both equiangular and equilateral . 4. If the length of a line be computed in feet , one foo the unit of the line , and is called the linear unit . If the lengt of a line be computed in yards , one ...
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Häufige Begriffe und Wortgruppen
12 feet ABCD adjacent angles allel altitude angles equal axis base multiplied bisect breadth called centre chains chord circle whose diameter circular sector circumference common cone consequently convex surface cube cylinder decimal dicular divide dodecagon draw entire surface equal altitudes equal Bk equal to half equivalent figure find the area frustum GEOMETRY half the arc half the product hence heptagon homologous sides hypothenuse included angle inscribed intersection length Let ABCD lower base measured by half Mensuration of Surfaces nonagon number of sides opposite angles outward angle parallelogram parallelopipedon pendicular pentagon perimeter perpen perpendicular plane prism PROBLEM quadrilateral radii radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment slant height sphere square feet squares described straight line tangent THEOREM three sides trapezoid triangle ABC upper base viii
Beliebte Passagen
Seite 48 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Seite 10 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Seite 58 - BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D.
Seite 12 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Seite 118 - ... cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Seite 112 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 162 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
Seite 149 - This pulyedrun may be considered as formed of pyramids, each having for its vertex the centre of the sphere, and for its base one of the faces of the polyedron.
Seite 119 - If a cone be cut by a plane parallel to the base, the section will be a circle.