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 31
Side 91
shall be equal to the sum of the rect- SECTION 4. - Regular polygons , and Cor . 2. If , any regular polygon being inscribed. angles under its opposite sides . Let ACBD be a quadrilateral in- scribed in the circle ABC ; and let A B , CD ...
shall be equal to the sum of the rect- SECTION 4. - Regular polygons , and Cor . 2. If , any regular polygon being inscribed. angles under its opposite sides . Let ACBD be a quadrilateral in- scribed in the circle ABC ; and let A B , CD ...
Side 92
... regular polygon of the same num- ber of sides circumscribed about the circle . For , since the radius drawn to the point of contact bisects the side cle , are ( 12.Cor . 1. ) equal to one another ; ( 3. Cor . 1. ) at right angles , and ...
... regular polygon of the same num- ber of sides circumscribed about the circle . For , since the radius drawn to the point of contact bisects the side cle , are ( 12.Cor . 1. ) equal to one another ; ( 3. Cor . 1. ) at right angles , and ...
Side 93
... regular circum- scribed polygon of the same number of sides . PROP . 28. ( Euc . iv . 10. and 15. Cor . ) The side of a regular hexagon is equal to the radius of the circle in which it is inscribed ; the side of a regular decagon is ...
... regular circum- scribed polygon of the same number of sides . PROP . 28. ( Euc . iv . 10. and 15. Cor . ) The side of a regular hexagon is equal to the radius of the circle in which it is inscribed ; the side of a regular decagon is ...
Side 94
... 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 . IC D A K B 0 Take A L equal ...
... 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 . IC D A K B 0 Take A L equal ...
Side 95
... polygon ( 27. ) . And because the perimeter of this inscribed polygon is to ... regular polygons may be in- scribed ( or circumscribed ) , which shall ... regular poly . gon , the perimeter of which approaches more nearly to that of the ...
... polygon ( 27. ) . And because the perimeter of this inscribed polygon is to ... regular polygons may be in- scribed ( or circumscribed ) , which shall ... regular poly . gon , the perimeter of which approaches more nearly to that of the ...
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