New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger WorkR.S. Davis & Company, 1873 - 176 páginas |
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Página 46
... circumscribed about the polygon . 135. A Polygon is circumscribed about a circle when all its sides are tan- E gents to the circumference ; as the poly- gon ABCDEF 136. The circle is then said to be inscribed in the polygon . THEOREM I ...
... circumscribed about the polygon . 135. A Polygon is circumscribed about a circle when all its sides are tan- E gents to the circumference ; as the poly- gon ABCDEF 136. The circle is then said to be inscribed in the polygon . THEOREM I ...
Página 92
... circumscribed about , and another inscribed in , any regular polygon . Let ABCDEFGH be any regu- lar polygon ; then a circle may be cir- cumscribed about , and another inscribed H in it . Describe a circle whose circumference shall pass ...
... circumscribed about , and another inscribed in , any regular polygon . Let ABCDEFGH be any regu- lar polygon ; then a circle may be cir- cumscribed about , and another inscribed H in it . Describe a circle whose circumference shall pass ...
Página 93
... circumscribed and inscribed circles , may also be regarded as the center of the polygon . The angle formed at the center by two radii drawn to the extremities of the same side is called the angle at the center ; and the perpendicular ...
... circumscribed and inscribed circles , may also be regarded as the center of the polygon . The angle formed at the center by two radii drawn to the extremities of the same side is called the angle at the center ; and the perpendicular ...
Página 95
... circumscribed circle , and OM , perpendicular to A B , the radius of the inscribed circle . Let G H be a side of the other polygon , C the center , CG and CN the radii of the circumscribed and the inscribed circles . AA M N BG H The ...
... circumscribed circle , and OM , perpendicular to A B , the radius of the inscribed circle . Let G H be a side of the other polygon , C the center , CG and CN the radii of the circumscribed and the inscribed circles . AA M N BG H The ...
Página 96
... circumscribed polygon , being given ; to find the surfaces of regular inscribed and circumscribed polygons having double the number of sides . Let A B be a side of the given in- E P MQF scribed polygon ; EF , parallel to A B , a side of ...
... circumscribed polygon , being given ; to find the surfaces of regular inscribed and circumscribed polygons having double the number of sides . Let A B be a side of the given in- E P MQF scribed polygon ; EF , parallel to A B , a side of ...
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New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
A B C D ABCD ABCDEF alti altitude altitude Theo angle A CD axis base multiplied bisect chord circumference circumscribed cone convex surface diagonal diameter divided Elementary Algebra ellipse entire surface equal Theo equivalent frustum greater GREENLEAF'S NEW MATHEMATICAL Greenleaf's New Series half the sum hence homologous homologous sides hypothenuse inches inscribed circle magnitudes MATHEMATICAL SERIES mean proportional measured by half number of sides parallelogram parallelopipedon Parker's Exercises perimeter perpendicular prism PROBLEM radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo rods Scholium School secant line side A B side B C similar slant hight solid sphere is equal spherical square described square feet THEOREM triangles A B C triangular triangular prism vertex zoid
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 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 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 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
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 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
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 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.