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 - Mathematics |
From inside the book
Results 1-5 of 80
Page iii
... 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.
... 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.
Page 78
... chord of that arc . When the chord passes through the centre , it is a diameter , and the arcs upon either side of it , being equal to one another , are called , each of them , a semi - circumference . * 2. The figure which is contained ...
... chord of that arc . When the chord passes through the centre , it is a diameter , and the arcs upon either side of it , being equal to one another , are called , each of them , a semi - circumference . * 2. The figure which is contained ...
Page 79
... chord . 4. A sector of a cir- cle is the figure con- tained by any arc , and the radii drawn to its extremities . 5. Equal circles are those which have equal radii . By this is intended no more than that when the term " equal circles ...
... chord . 4. A sector of a cir- cle is the figure con- tained by any arc , and the radii drawn to its extremities . 5. Equal circles are those which have equal radii . By this is intended no more than that when the term " equal circles ...
Page 80
... chords which are parallel to the tangent at either extremity of the diameter . Cor . 2. The straight line which bi- sects any chord at right angles passes through the centre of the circle . Cor . 3. If two circles have a common chord ...
... chords which are parallel to the tangent at either extremity of the diameter . Cor . 2. The straight line which bi- sects any chord at right angles passes through the centre of the circle . Cor . 3. If two circles have a common chord ...
Page 81
... chords to which perpendi- culars CH , CK are drawn ; and let the K distance CH be less than CK : the diameter A B shall be greater than the chord D E , and the chord D E shall be greater than the chord F G. Join CD , CE , CF. Then ...
... chords to which perpendi- culars CH , CK are drawn ; and let the K distance CH be less than CK : the diameter A B shall be greater than the chord D E , and the chord D E shall be greater than the chord F G. Join CD , CE , CF. Then ...
Other editions - View all
Common terms and phrases
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