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 4
... given the competent man , and he may produce in them a knowledge and an insight far beyond any that can be given by mechanical lesson - learning . Very truly yours , HERBERT SPENCER . INTRODUCTION WHEN it is considered that by geometry ...
... given the competent man , and he may produce in them a knowledge and an insight far beyond any that can be given by mechanical lesson - learning . Very truly yours , HERBERT SPENCER . INTRODUCTION WHEN it is considered that by geometry ...
Página 40
... given ? 119. Given a circle , and a tangent to that circle ; it is required to find the point in the circumference to which it is a tangent . 120. Given a line , and a point in that line ; it is required to find the centre of a circle ...
... given ? 119. Given a circle , and a tangent to that circle ; it is required to find the point in the circumference to which it is a tangent . 120. Given a line , and a point in that line ; it is required to find the centre of a circle ...
Página 47
... Given an arc of a circle : it is required to find the centre of the circle of which it is an arc . 165. Can you make a symmetrical trape- zoid ? 166. Can you make a symmetrical trape- zium ? 167. Is it possible to make a rhomboid with ...
... Given an arc of a circle : it is required to find the centre of the circle of which it is an arc . 165. Can you make a symmetrical trape- zoid ? 166. Can you make a symmetrical trape- zium ? 167. Is it possible to make a rhomboid with ...
Página 48
... given ? 172. Is it possible that any triangle can be of such a form that , when divided in a certain way into two parts equal to each other , such parts shall have a form similar to that of the original triangle ? 173. Show what is ...
... given ? 172. Is it possible that any triangle can be of such a form that , when divided in a certain way into two parts equal to each other , such parts shall have a form similar to that of the original triangle ? 173. Show what is ...
Página 51
... given above that line ? Those instruments by which an angle can be constructed so as to contain a certain number of degrees , or by which we can measure an angle , and determine how many degrees it contains , as also by which we can ...
... given above that line ? Those instruments by which an angle can be constructed so as to contain a certain number of degrees , or by which we can measure an angle , and determine how many degrees it contains , as also by which we can ...
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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.