New Elementary Geometry: With Practical Applications : a Shorter Course Upon the Basis of the Larger WorkRobert S. Davis & Company, 1874 - 176 páginas |
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Página 44
... Radius of a circle is any straight line drawn from the center to the circumference ; as the line CA , CD , or CB . 122. A Diameter of a circle is any straight line drawn through the center and terminating in both directions in the ...
... Radius of a circle is any straight line drawn from the center to the circumference ; as the line CA , CD , or CB . 122. A Diameter of a circle is any straight line drawn through the center and terminating in both directions in the ...
Página 48
... radius AC on its cqual E O , since the angles ACD , E OG are equal , the radius CD will fall on O G , and the point D on G. Therefore the arcs AD and E G coincide with each other ; hence they must be equal ( 26 , Ax . 12 ) . THEOREM III ...
... radius AC on its cqual E O , since the angles ACD , E OG are equal , the radius CD will fall on O G , and the point D on G. Therefore the arcs AD and E G coincide with each other ; hence they must be equal ( 26 , Ax . 12 ) . THEOREM III ...
Página 49
... radius which is perpendicular to a chord bi- sects the chord , and also the arc subtended by the chord . Let the radius CE be perpendicular to the chord A B ; then will C E bisect the chord at D , and the arc A B at E. Draw the radii CA ...
... radius which is perpendicular to a chord bi- sects the chord , and also the arc subtended by the chord . Let the radius CE be perpendicular to the chord A B ; then will C E bisect the chord at D , and the arc A B at E. Draw the radii CA ...
Página 50
... radius CE , which is perpendicular to the chord A B , bisects the arc A B subtended by the chord . 146. Cor . 1. Any straight line which joins the center of the circle and the middle of the chord , or the middle of the arc , must be ...
... radius CE , which is perpendicular to the chord A B , bisects the arc A B subtended by the chord . 146. Cor . 1. Any straight line which joins the center of the circle and the middle of the chord , or the middle of the arc , must be ...
Página 51
... radius at its termination in the circumference , is a tangent to the circle . Let the straight line BD be per- pendicular to the radius CA at its B termination A ; then will it be a tan- gent to the circle . Draw from the center C to BD ...
... radius at its termination in the circumference , is a tangent to the circle . Let the straight line BD be per- pendicular to the radius CA at its B termination A ; then will it be a tan- gent to the circle . Draw from the center C to BD ...
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New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD ABCDEF alti altitude Theo angle A CD axis base multiplied bisect chord circum circumference circumscribed cone convex surface D E F diagonal diameter divided ELEMENTARY ALGEBRA ellipse entire surface equal Theo equivalent formed frustum greater GREENLEAF'S half the sum hence homologous homologous sides hypothenuse inches inscribed circle inscribed square intersection magnitudes mean proportional measured by half Metric System number of sides parallelogram parallelopipedon perimeter perpendicular prism PROBLEM quadrilateral radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo right pyramid rods Scholium SCHOOLS sector semicircle side A B side B C similar slant hight solid sphere is equal spherical square described square feet square root tangent THEOREM third triangles A B C triangular triangular prism tude vertex
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 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 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 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 93 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
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 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 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
Página 124 - But the solidity of each triangular prism is equal to the product of its base by its altitude ; and.