Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 sider |
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Resultat 1-5 av 82
Side iii
... chords 4. Regular polygons , and approximation to the area of the circle 5. The circle a maximum of area , and a minimum of perimeter 6. Simple and plane loci 7. Problems 78 84 88 91 99 106 BOOK IV . Section 1. Of lines , perpendicular ...
... chords 4. Regular polygons , and approximation to the area of the circle 5. The circle a maximum of area , and a minimum of perimeter 6. Simple and plane loci 7. Problems 78 84 88 91 99 106 BOOK IV . Section 1. Of lines , perpendicular ...
Side 67
... chords which , having the same thick- ness and tension , produce the sounds of a certain note , its fifth and its octave . These lengths are as 1 ,, and , of which it is plain that the first is to the third as the difference of the ...
... chords which , having the same thick- ness and tension , produce the sounds of a certain note , its fifth and its octave . These lengths are as 1 ,, and , of which it is plain that the first is to the third as the difference of the ...
Side 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 ...
Side 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 ...
Side 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 ...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... Pierce Morton Uten tilgangsbegrensning - 1835 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2013 |
Vanlige uttrykk og setninger
A B C a² b² ABCD altitude asymptote axes axis base bisected centre chord circle circumference circumscribed co-ordinates common section conic section contained convex surface curve cylinder describe diameter difference dihedral angle distance divided draw drawn ellipse equal angles equation frustum given line given point given straight line gles greater hence hyperbola hypotenuse inscribed intersection join Latus Rectum less likewise locus magnitudes meet parabola parallel parallelogram parallelopiped pass pendicular perimeter perpendicular perspective projection pole prism produced projection PROP pyramid radii radius ratio rectangle rectangular rectilineal figure regular polygon right angles Scholium segment similar solid angles solid content sphere spherical angle spherical arc spherical triangle square tangent tion touch triangle ABC vertex vertical y₁
Populære avsnitt
Side 196 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 64 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 20 - In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing it, let fall the perpendicular...
Side 10 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 189 - ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.
Side 1 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 84 - The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference.
Side 78 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Side 79 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Side 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.