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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Seite iv
... sphere • 3. Surfaces and contents of certain portions of the sphere BOOK VI . 133 138 • 150 156 · 175 179 Section 1. Of great and small circles of the sphere 2. Of spherical triangles 186 189 · 3. Of equal portions of spherical surface ...
... sphere • 3. Surfaces and contents of certain portions of the sphere BOOK VI . 133 138 • 150 156 · 175 179 Section 1. Of great and small circles of the sphere 2. Of spherical triangles 186 189 · 3. Of equal portions of spherical surface ...
Seite vi
... Spherical Geometry . Of the Right Cylinder , Definition Right Cone , and Prop . 1 Sphere . Definitions Lem . 1 44 16 Lem . 2 45 17 Prop . 1 46 18 47 19 48 20 49 21 50 22 , omitting the Schol . BOOK IV . 23 24 1212368 4 5 10 234567890 11 ...
... Spherical Geometry . Of the Right Cylinder , Definition Right Cone , and Prop . 1 Sphere . Definitions Lem . 1 44 16 Lem . 2 45 17 Prop . 1 46 18 47 19 48 20 49 21 50 22 , omitting the Schol . BOOK IV . 23 24 1212368 4 5 10 234567890 11 ...
Seite 127
... sphere is a solid figure , every point in the surface of which is at the same distance from a certain point within the figure , which is called the centre . The distance from the centre to the surface is called the radius , or sometimes ...
... sphere is a solid figure , every point in the surface of which is at the same distance from a certain point within the figure , which is called the centre . The distance from the centre to the surface is called the radius , or sometimes ...
Seite 131
... sphere be described with a radius less than the perpendicular A E , it will not meet the plane BCD : if with a radius equal to AE , it will meet BCD in one point only , which is the foot of the perpendi- cular ; and , if with a radius ...
... sphere be described with a radius less than the perpendicular A E , it will not meet the plane BCD : if with a radius equal to AE , it will meet BCD in one point only , which is the foot of the perpendi- cular ; and , if with a radius ...
Seite 151
... sphere DEF . If this sphere touch the plane in D , C D is the perpendicular required ( 8. Cor . ) ; if not , take K , the centre of the circle D G H in which it cuts the plane , and join CK ; CK will be the perpendicular required ( 8 ...
... sphere DEF . If this sphere touch the plane in D , C D is the perpendicular required ( 8. Cor . ) ; if not , take K , the centre of the circle D G H in which it cuts the plane , and join CK ; CK will be the perpendicular required ( 8 ...
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Häufige Begriffe und Wortgruppen
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