Inventional Geometry: A Series of Problems : Intended to Familiarize the Pupil with Geometrical Conceptions, and to Exercise His Inventive FacultyAmerican Book Company, 1876 - 97 páginas |
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Página 15
... dimensions . The top , bottom , and sides of a solid body , as a cube , ' are called its faces or surfaces , ' and the edges of these surfaces are called lines . The distance between the top and bottom of the cube is a dimension called ...
... dimensions . The top , bottom , and sides of a solid body , as a cube , ' are called its faces or surfaces , ' and the edges of these surfaces are called lines . The distance between the top and bottom of the cube is a dimension called ...
Página 16
... dimension , called the length of the cube . Thus a cube is called a magnitude of three dimensions . The three terms most commonly applied to the dimensions of a cube are length , breadth , and thickness . 1. Place a cube with one face ...
... dimension , called the length of the cube . Thus a cube is called a magnitude of three dimensions . The three terms most commonly applied to the dimensions of a cube are length , breadth , and thickness . 1. Place a cube with one face ...
Página 17
... dimension only , that of length . Thus a line is called a magnitude of one dimension . 4. Count how many lines are formed on a cube by the intersection of its six plane surfaces . If that which has neither breadth , nor thick- ness ...
... dimension only , that of length . Thus a line is called a magnitude of one dimension . 4. Count how many lines are formed on a cube by the intersection of its six plane surfaces . If that which has neither breadth , nor thick- ness ...
Página 18
... dimension . It has position only . A point is therefore not a magnitude . 5. Name the number of points that are made by the intersection of the twelve lines of a cube . We cannot with a pencil make a point on paper - we represent a ...
... dimension . It has position only . A point is therefore not a magnitude . 5. Name the number of points that are made by the intersection of the twelve lines of a cube . We cannot with a pencil make a point on paper - we represent a ...
Página 45
... dimensions . 150. Can you invent a method of dividing a circle into four equal and similar parts , having other boundaries rather than the radii ? You have made a square , and placed an equilateral triangle on each of its sides . 151 ...
... dimensions . 150. Can you invent a method of dividing a circle into four equal and similar parts , having other boundaries rather than the radii ? You have made a square , and placed an equilateral triangle on each of its sides . 151 ...
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Términos y frases comunes
adjacent angles AMERICAN BOOK COMPANY angular points arc is called arithmetic arithmetic mean arrange the surfaces BALFOUR STEWART Barnes's Brief History base boundaries breadth card a hollow cents circumference Cloth construct cube curve diameter dimensions divide a circle divide a line divide an equilateral dodecagon duodecimals EDWARD EGGLESTON ellipse equal and similar equal sectors equilateral triangle find the area four equal FRANKLIN TAYLOR geometry Give a plan give a sketch gles HERBERT SPENCER hexahedron icosahedron illustrated Inventional Geometry isosceles triangle length line drawn line of chords line of sines line of tangents nonagon number of degrees octagon octahedron pentagon perpendicular piece of card place a circle place a hexagon place a square polygon protractor pupil pyramid quadrant quadrilaterals radii radius ratio rectangle reëntrant angle rhomboid rhombus right angle right-angled triangle secant sides is called solid square inches takes the name tetrahedron Thalheimer's touch trapezium versed sine write its name zoid
Pasajes populares
Página 41 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.
Página 21 - All arcs of circles that are not so great as a semi-circumference are called less arcs. A line that joins the extremities of an arc is called the chord of that arc. When two radii connect together any two points in the circumference of a circle which are on exactly the opposite sides of the centre, they make a chord, which is called the diameter of the circle, and such diameter divides the circle into two equal segments, 1 which take the name of semicircles.