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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Página 27
... circumscribing the range , if it be limited , within which every particular datum confines the solu- tion of the problem ; for it is obvious that , if a second datum cannot be satis- fied within that range , the two will be inconsistent ...
... circumscribing the range , if it be limited , within which every particular datum confines the solu- tion of the problem ; for it is obvious that , if a second datum cannot be satis- fied within that range , the two will be inconsistent ...
Página 79
10. A rectilineal figure is said to be its centre . circumscribed about ↓. A segment which is contained by a semi- circumference and a diameter , is equal to half the circle , and is therefore called a semicircle . 3. An angle in a ...
10. A rectilineal figure is said to be its centre . circumscribed about ↓. A segment which is contained by a semi- circumference and a diameter , is equal to half the circle , and is therefore called a semicircle . 3. An angle in a ...
Página 91
... circumscribing circle has the same magnitude whatsoever be their order . ( See Sect . 5. Prop . 41 . Scholium ... circumscribed circles ( see Prop . 26. ) : and the perpendicular which is drawn from the centre to any one of the ...
... circumscribing circle has the same magnitude whatsoever be their order . ( See Sect . 5. Prop . 41 . Scholium ... circumscribed circles ( see Prop . 26. ) : and the perpendicular which is drawn from the centre to any one of the ...
Página 92
... circumscribed about the circle . For , since the radius drawn to the point of contact bisects the side cle , are ( 12.Cor . 1. ) equal to one another ; ( 3. Cor . 1. ) at right angles , and there- F less than the triangle CAB ; for , as.
... circumscribed about the circle . For , since the radius drawn to the point of contact bisects the side cle , are ( 12.Cor . 1. ) equal to one another ; ( 3. Cor . 1. ) at right angles , and there- F less than the triangle CAB ; for , as.
Página 94
... circumscribed circles , and their areas are as the squares of the radii . Let O , o be the centres of two re- gular polygons having the same number of sides , A B , a b , any two sides , and OK , o k lines drawn from the centres A K B ...
... circumscribed circles , and their areas are as the squares of the radii . Let O , o be the centres of two re- gular polygons having the same number of sides , A B , a b , any two sides , and OK , o k lines drawn from the centres A K B ...
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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