Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 127
... convex surface . The alti- tude of a prism is the perpendicular distance between its two bases . The edges which join the corresponding angles of the two polygons are called the principal edges of the prism . 6. A right prism is one ...
... convex surface . The alti- tude of a prism is the perpendicular distance between its two bases . The edges which join the corresponding angles of the two polygons are called the principal edges of the prism . 6. A right prism is one ...
Página 128
... convex surface . 11. The altitude of a pyramid is the perpen- dicular let fall from the vertex upon the plane of the ... convex surface of a right prism is equal to the pe- rimeter of its base multiplied by its altitude . Let ABCDE - K ...
... convex surface . 11. The altitude of a pyramid is the perpen- dicular let fall from the vertex upon the plane of the ... convex surface of a right prism is equal to the pe- rimeter of its base multiplied by its altitude . Let ABCDE - K ...
Página 140
... surfaces are as the squares of the homologous sides BC hc ( Prop . XXVI . , B. IV . ) . But , by the preceding Proposition Therefore , • BC : bc :: AB : Ab . BCDEF : bcdef :: AB2 : Ab3 . For the same ... convex surface of a 140 GEOMETRY .
... surfaces are as the squares of the homologous sides BC hc ( Prop . XXVI . , B. IV . ) . But , by the preceding Proposition Therefore , • BC : bc :: AB : Ab . BCDEF : bcdef :: AB2 : Ab3 . For the same ... convex surface of a 140 GEOMETRY .
Página 141
... convex surface be equal to the perimeter BC + CD + DE , & c . , multiplied by half of AH . The triangles AFB , ABC , ACD , & c . , are all equal , for the sides FB , BC , CD , & c . , are all equal ( Def . 13 ) ; and since the oblique ...
... convex surface be equal to the perimeter BC + CD + DE , & c . , multiplied by half of AH . The triangles AFB , ABC , ACD , & c . , are all equal , for the sides FB , BC , CD , & c . , are all equal ( Def . 13 ) ; and since the oblique ...
Página 166
... convex surface . 3. A cone is a solid described by the revolu- tion of a right - angled triangle about one of the sides containing the right angle , which side re- mains fixed . The base of the cone is the cir- cle described by that ...
... convex surface . 3. A cone is a solid described by the revolu- tion of a right - angled triangle about one of the sides containing the right angle , which side re- mains fixed . The base of the cone is the cir- cle described by that ...
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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.