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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Resultat 1-5 av 55
Side iii
... segments 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 ...
... segments 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 ...
Side 21
... segment adjacent to that side . And conversely , if this be the case , the angle at A must be a right angle . For ... segments of I. § 6. ] 21 GEOMETRY . ' Relations of the sides of triangles 65 6 5.
... segment adjacent to that side . And conversely , if this be the case , the angle at A must be a right angle . For ... segments of I. § 6. ] 21 GEOMETRY . ' Relations of the sides of triangles 65 6 5.
Side 22
will be equal to the rectangle under the segments of the hypotenuse ; and that , conversely , if this be the case , the angle BAC will be a right angle . ( See the proof of Cor . 2. ) Scholium . G B Among the different proofs which have ...
will be equal to the rectangle under the segments of the hypotenuse ; and that , conversely , if this be the case , the angle BAC will be a right angle . ( See the proof of Cor . 2. ) Scholium . G B Among the different proofs which have ...
Side 23
... segments of the base will be equal ; and , that , in other cases , the greater segment of the base is always adjoining to the greater side . ( 12. Cor . 1 , and 2. ) PROP . 39 . In an isosceles triangle , if a straight line be drawn ...
... segments of the base will be equal ; and , that , in other cases , the greater segment of the base is always adjoining to the greater side . ( 12. Cor . 1 , and 2. ) PROP . 39 . In an isosceles triangle , if a straight line be drawn ...
Side 59
... segment next the vertex which is cut off by the pa- rallel from the side , or from the side produced . The same is at once made evident by drawing through C a parallel to A D. Cor . 3. It has also been seen in the course of the ...
... segment next the vertex which is cut off by the pa- rallel from the side , or from the side produced . The same is at once made evident by drawing through C a parallel to A D. Cor . 3. It has also been seen in the course of the ...
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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