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 |
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Σελίδα iii
... of chords 88 4. Regular polygons , and approximation to the area of the circle 91 5. The circle a maximum of area , and a minimum of perimeter 6. Simple and plane loci 99 106 7. Problems 112 BOOK IV . • Page 125 Section 1. Of lines.
... of chords 88 4. Regular polygons , and approximation to the area of the circle 91 5. The circle a maximum of area , and a minimum of perimeter 6. Simple and plane loci 99 106 7. Problems 112 BOOK IV . • Page 125 Section 1. Of lines.
Σελίδα 78
... Regular Polygons , and Ap- proximation to Circular Area — § 5 . Circle a Maximum of Area , and Minimum of Perimeter - § 6. Simple and Plane Loci - § 7. Problems . SECTION 1. - First Properties of the Circle . Def . 1. Any portion of the ...
... Regular Polygons , and Ap- proximation to Circular Area — § 5 . Circle a Maximum of Area , and Minimum of Perimeter - § 6. Simple and Plane Loci - § 7. Problems . SECTION 1. - First Properties of the Circle . Def . 1. Any portion of the ...
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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 ...
Άλλες εκδόσεις - Προβολή όλων
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Πλήρης προβολή - 1835 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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