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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... curve . If a curve be cut by a straight line in two points , the curve is said to be concave towards that side upon which the straight line lies , and towards the other side , con- vex . A B B others : thus , the angle B A C is BOOK ...
... curve . If a curve be cut by a straight line in two points , the curve is said to be concave towards that side upon which the straight line lies , and towards the other side , con- vex . A B B others : thus , the angle B A C is BOOK ...
Página 210
... curve be in the vertical plane , the curve which is its projection shall have an arc of unlimited extent corresponding to the arc of the original curve which is terminated in that point . V the vertex , PQR any curved line , Let A B be ...
... curve be in the vertical plane , the curve which is its projection shall have an arc of unlimited extent corresponding to the arc of the original curve which is terminated in that point . V the vertex , PQR any curved line , Let A B be ...
Página 211
... curve does not pass through the vertex V ; for , in this case , it is evident that its projection upon the plane A B is a straight line ( IV . 2. ) . Cor . 2. If the original curve cuts the vertical plane in the point M , so that one ...
... curve does not pass through the vertex V ; for , in this case , it is evident that its projection upon the plane A B is a straight line ( IV . 2. ) . Cor . 2. If the original curve cuts the vertical plane in the point M , so that one ...
Página 212
... curve pqr . it has been shown that it never meets the curve , to whatever extent it is pro- duced . Therefore , it is an asymptote to the curve p q r ( def . 6. ) . Therefore , & c . Cor . 1. In that part of the proposi- Btion which ...
... curve pqr . it has been shown that it never meets the curve , to whatever extent it is pro- duced . Therefore , it is an asymptote to the curve p q r ( def . 6. ) . Therefore , & c . Cor . 1. In that part of the proposi- Btion which ...
Página 214
... curve , the pro- jection of that straight line shall like wise touch the projection of the curve . Let CD be the direction , A B the plane of projec- tion ; PQR any curved line , and pqr its projec- tion : p q r shall likewise be a ...
... curve , the pro- jection of that straight line shall like wise touch the projection of the curve . Let CD be the direction , A B the plane of projec- tion ; PQR any curved line , and pqr its projec- tion : p q r shall likewise be a ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
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