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 5
... constructs our buildings , the civil en- gineer 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 the ...
... constructs our buildings , the civil en- gineer 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 the ...
Página 8
... construct a geometrical figure - say a square -and letting him rest satisfied with being able to construct one from that dictation , the author has so organized these questions that by doing justice to each in its turn , the pupil finds ...
... construct a geometrical figure - say a square -and letting him rest satisfied with being able to construct one from that dictation , the author has so organized these questions that by doing justice to each in its turn , the pupil finds ...
Página 9
... construct a square without aid . The greater part of the questions accompany- ing the definitions require for their answers ge- ometrical figures and diagrams , accurately con- structed by means of a pair of compasses , a scale of equal ...
... construct a square without aid . The greater part of the questions accompany- ing the definitions require for their answers ge- ometrical figures and diagrams , accurately con- structed by means of a pair of compasses , a scale of equal ...
Página 11
... constructing a figure that you know , use ares if you prefer them ; but , in all your at- tempts to solve a problem , prefer whole circles to arcs . Circles are suggestive , arcs are not . Always have a reason for the method you adopt ...
... constructing a figure that you know , use ares if you prefer them ; but , in all your at- tempts to solve a problem , prefer whole circles to arcs . Circles are suggestive , arcs are not . Always have a reason for the method you adopt ...
Página 35
... a figure with two reëntrant angles ? 88. Of how few sides can you construct a tigure with three reëntrant angles ? 89. Show how many equilateral trian gles may be placed around one point to touch it INVENTIONAL GEOMETRY . 35.
... a figure with two reëntrant angles ? 88. Of how few sides can you construct a tigure with three reëntrant angles ? 89. Show how many equilateral trian gles may be placed around one point to touch it INVENTIONAL GEOMETRY . 35.
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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.