Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 7
... Polygons , and the Area of the Circle . SOLID GEOMETRY . " BOOK VII . Planes and Solid Angles . • BOOK VIII . Polyedrons BOOK IX . Spherical Geometry BOOK X. The Three round Bodies . CONIC SECTIONS . Parabola . Ellipse Hyperbola 44 · 57 ...
... Polygons , and the Area of the Circle . SOLID GEOMETRY . " BOOK VII . Planes and Solid Angles . • BOOK VIII . Polyedrons BOOK IX . Spherical Geometry BOOK X. The Three round Bodies . CONIC SECTIONS . Parabola . Ellipse Hyperbola 44 · 57 ...
Página 10
... polygon , and the lines themselves , taken together , form the perimeter of the polygon . 14. The polygon of three sides is the simplest of all , and is called a triangle ; that of four sides is called a quadrilateral ; that of five , a ...
... polygon , and the lines themselves , taken together , form the perimeter of the polygon . 14. The polygon of three sides is the simplest of all , and is called a triangle ; that of four sides is called a quadrilateral ; that of five , a ...
Página 11
... polygon is one which has all its sides equal . An equiangular polygon is one which has all its an- gles equal . 20. Two polygons are mutually equilateral when they have all the sides of the one equal to the corresponding sides of the ...
... polygon is one which has all its sides equal . An equiangular polygon is one which has all its an- gles equal . 20. Two polygons are mutually equilateral when they have all the sides of the one equal to the corresponding sides of the ...
Página 31
... polygon , is equal to twice as many right angles , wanting four , as the figure has sides . Let ABCDE be any polygon ; then the sum of all its inte- rior angles A , B , C , D , E is equal to twice as many right an- gles , wanting four ...
... polygon , is equal to twice as many right angles , wanting four , as the figure has sides . Let ABCDE be any polygon ; then the sum of all its inte- rior angles A , B , C , D , E is equal to twice as many right an- gles , wanting four ...
Página 32
... polygon has sides . But the same angles are equal to the angles of the polygon , together with the angles at the point F , that is , together with four right angles ( Prop . V. , Cor . 2 ) . Therefore the angles of the polygon are equal ...
... polygon has sides . But the same angles are equal to the angles of the polygon , together with the angles at the point F , that is , together with four right angles ( Prop . V. , Cor . 2 ) . Therefore the angles of the polygon are equal ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Sin vista previa disponible - 2016 |
Términos y frases comunes
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
Página 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Página 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Página 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 17 - 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 will be equal.
Página 148 - I.), that every section of a sphere made by a plane is a circle.