Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
Inni boken
Resultat 1-5 av 15
Side 91
... apothem . 13. Similar arcs of circles are those which subtend equal angles at the centre . Similar sectors and segments are those which are bounded by similar arcs . PROP . 26. ( Euc . iv . 13 and 14 , ) . If any two adjoining angles of ...
... apothem . 13. Similar arcs of circles are those which subtend equal angles at the centre . Similar sectors and segments are those which are bounded by similar arcs . PROP . 26. ( Euc . iv . 13 and 14 , ) . If any two adjoining angles of ...
Side 92
... apothem O a or Ob for its ra- dius , and ( 2. ) touching the sides in their middle points ( 3. ) , a , b , c , d , e , f . Therefore , & c . PROP . 27 . .A . If the circumference of a circle be di- vided into any number of equal parts ...
... apothem O a or Ob for its ra- dius , and ( 2. ) touching the sides in their middle points ( 3. ) , a , b , c , d , e , f . Therefore , & c . PROP . 27 . .A . If the circumference of a circle be di- vided into any number of equal parts ...
Side 93
... the side - square of a regular decagon inscribed in the same circle . Therefore , & c . PROP . 29 . The area of any regular polygon is equal to half the rectangle under its perimeter and apothem III . §4 . ] 93 GEOMETRY .
... the side - square of a regular decagon inscribed in the same circle . Therefore , & c . PROP . 29 . The area of any regular polygon is equal to half the rectangle under its perimeter and apothem III . §4 . ] 93 GEOMETRY .
Side 94
... apothem . Let ABCDEF be any regular po- lygon , O its centre , and OK , which is drawn perpendicular to A B , its apo- them : the area of the polygon shall be equal to half the rectangle under the apothem O K and the perimeter ABC DEF ...
... apothem . Let ABCDEF be any regular po- lygon , O its centre , and OK , which is drawn perpendicular to A B , its apo- them : the area of the polygon shall be equal to half the rectangle under the apothem O K and the perimeter ABC DEF ...
Side 95
... apothem CR is greater than CD . Take Cr ( II.52 . ) a third proportional to CA and CR ; and , because CD2 : CR2 :: CA × Cd : CAx Cr ( II . 38. Cor . 1. ) , in which proportion the first term is less than the second , the third is also ...
... apothem CR is greater than CD . Take Cr ( II.52 . ) a third proportional to CA and CR ; and , because CD2 : CR2 :: CA × Cd : CAx Cr ( II . 38. Cor . 1. ) , in which proportion the first term is less than the second , the third is also ...
Andre utgaver - Vis alle
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical