Inventional Geometry: A Series of Problems, Intended to Familiarize the Pupil with Geometrical Conceptions, and to Exercise His Inventive FacultyD. Appleton, 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 cube by the intersection of its six plane surfaces . If that which has neither breadth , nor thick ness , but ...
... dimension only , that of length . Thus a line is called a magnitude of one dimension . 4. Count how many lines are formed on cube by the intersection of its six plane surfaces . If that which has neither breadth , nor thick ness , but ...
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 point ...
... 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 point ...
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 mean arrange the surfaces axis base boundaries breadth card a hollow circumference construct cube curve determine diagonal scale diameter dimensions distance divide a circle divide a line divide an equilateral dodecagon duodecimals ellipse English equal and similar equal sectors equilateral triangle essays find the area four equal geometry Give a plan give a sketch Give an example gles hexahedron icosahedron isosceles triangle length line drawn line of chords line of sines line of tangents means nonagon number of degrees obtuse angle octagon octahedron pentagon piece of card place a circle place a hexagon place a square polygon protractor pupil pyramid quadrant quadrilaterals radii radius rectangle reëntrant angle rhomboid rhombus right angle right-angled triangle secant sides is called solid square inches square yard student takes the name tetrahedron trapezium versed sine Wellesley College write its name zoid
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Página 43 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.
Página 13 - I keep the subject constantly before me, and wait till the first dawnings open slowly by little and little into a full and clear light.
Página 5 - INTRODUCTION. it is considered that by geometry the architect constructs our buildings, the civil engineer our railways; that by a higher kind of geometry, the surveyor makes a map of a county or of a kingdom; that a geometry still higher is the foundation of the noble science of...