New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger WorkR.S. Davis & Company, 1873 - 176 páginas |
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Página 139
... cylinder are the circles described by the sides , AC , BD , of the revolving rectangle , which are adjacent to the immovable side , A B. A B The Axis of the cylinder is the straight line joining the centers of its two bases ; as the ...
... cylinder are the circles described by the sides , AC , BD , of the revolving rectangle , which are adjacent to the immovable side , A B. A B The Axis of the cylinder is the straight line joining the centers of its two bases ; as the ...
Página 140
... Cylinders , or Cones , are those whose axes are to each other as the radii , or diameters , of their bases . 328. A Sphere is a solid , or volume , bounded by a curved surface , all points of which are equally distant from a point ...
... Cylinders , or Cones , are those whose axes are to each other as the radii , or diameters , of their bases . 328. A Sphere is a solid , or volume , bounded by a curved surface , all points of which are equally distant from a point ...
Página 142
... cylinder is equal to the circumference of its base multiplied by its altitude . Let ABCDEFG be a cylinder , whose circumference is the circle ABCDEF , and whose alti- tude is the line A G ; then its convex sur- face is equal to ABCDEF ...
... cylinder is equal to the circumference of its base multiplied by its altitude . Let ABCDEFG be a cylinder , whose circumference is the circle ABCDEF , and whose alti- tude is the line A G ; then its convex sur- face is equal to ABCDEF ...
Página 143
... cylinder by 2 R X = Χ Η . THEOREM II . 341. The volume of a cylinder is equal to the product of its base by its altitude . Let ABCDEF - G be a cylinder whose base is the circle A B C D E F ' , and whose altitude is the line A G ; then ...
... cylinder by 2 R X = Χ Η . THEOREM II . 341. The volume of a cylinder is equal to the product of its base by its altitude . Let ABCDEF - G be a cylinder whose base is the circle A B C D E F ' , and whose altitude is the line A G ; then ...
Página 144
... cylinders being similar , the radii of their bases are to each other as their altitudes ( 327 ) ; therefore the bases ... cylinder will be S 345. The convex surface of a cone is equal to the cir- cumference of the base multiplied by half ...
... cylinders being similar , the radii of their bases are to each other as their altitudes ( 327 ) ; therefore the bases ... cylinder will be S 345. The convex surface of a cone is equal to the cir- cumference of the base multiplied by half ...
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New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
A B C D ABCD ABCDEF alti altitude altitude Theo angle A CD axis base multiplied bisect chord circumference circumscribed cone convex surface diagonal diameter divided Elementary Algebra ellipse entire surface equal Theo equivalent frustum greater GREENLEAF'S NEW MATHEMATICAL Greenleaf's New Series half the sum hence homologous homologous sides hypothenuse inches inscribed circle magnitudes MATHEMATICAL SERIES mean proportional measured by half number of sides parallelogram parallelopipedon Parker's Exercises perimeter perpendicular prism PROBLEM radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo rods Scholium School secant line side A B side B C similar slant hight solid sphere is equal spherical square described square feet THEOREM triangles A B C triangular triangular prism vertex zoid
Pasajes populares
Página 23 - 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.
Página 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Página 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Página 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Página 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
Página 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Página 88 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.