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 2
... perimeter . 14. A plane rectilineal figure is any portion of a plane surface , which is in- cluded by right lines ... perimeters are supposed to be convex externally . 15. A triangle is said to be right- angled , when it has a right ...
... perimeter . 14. A plane rectilineal figure is any portion of a plane surface , which is in- cluded by right lines ... perimeters are supposed to be convex externally . 15. A triangle is said to be right- angled , when it has a right ...
Σελίδα 8
... perimeter of wholly envelopes the the enveloping figure must be greater than the perimeter of the other . Scholium . B By help of this proposition it may be shown that a straight line is the shortest distance between two points A and B ...
... perimeter of wholly envelopes the the enveloping figure must be greater than the perimeter of the other . Scholium . B By help of this proposition it may be shown that a straight line is the shortest distance between two points A and B ...
Σελίδα 28
... perimeter AB , to construct the triangle . At the points A , B , make ( 47. ) the angles BAC , ABC , equal to two of the given angles , each to each ; bisect ( 46. ) the angles at A , B , by the straight lines A c , B c , meeting in c ...
... perimeter AB , to construct the triangle . At the points A , B , make ( 47. ) the angles BAC , ABC , equal to two of the given angles , each to each ; bisect ( 46. ) the angles at A , B , by the straight lines A c , B c , meeting in c ...
Σελίδα 67
... perimeter of the other as A B to a b . Therefore , & c . Cor . 1. Similar rectilineal figures are to one another as the squares of their homologous sides ( 37. Cor . 2. ) . Cor . 2. ( Euc . vi . 22. ) . If four straight lines be ...
... perimeter of the other as A B to a b . Therefore , & c . Cor . 1. Similar rectilineal figures are to one another as the squares of their homologous sides ( 37. Cor . 2. ) . Cor . 2. ( Euc . vi . 22. ) . If four straight lines be ...
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