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 4
... coincide with one another , that is , to fill exactly the same space , are equal to one another . The converse of this last axiom is like- wise true of some magnitudes . In what follows , it will be assumed , with regard to straight ...
... coincide with one another , that is , to fill exactly the same space , are equal to one another . The converse of this last axiom is like- wise true of some magnitudes . In what follows , it will be assumed , with regard to straight ...
Página 5
... coincides with BF ; that is , it is in the same straight line with B C. Therefore , & c . * Cor . 1. If from a point in a straight line there be drawn any number of straight lines upon one side of it , all the angles ( made by each with ...
... coincides with BF ; that is , it is in the same straight line with B C. Therefore , & c . * Cor . 1. If from a point in a straight line there be drawn any number of straight lines upon one side of it , all the angles ( made by each with ...
Página 6
... coincide with E , because A B is equal to DE , and the point C with F , because A C is equal to DF ; and , because the points B , C , coincide with the points E , F , the straight line B C coincides with the straight line E F ( ax . 10 ...
... coincide with E , because A B is equal to DE , and the point C with F , because A C is equal to DF ; and , because the points B , C , coincide with the points E , F , the straight line B C coincides with the straight line E F ( ax . 10 ...
Página 7
... coincides with GE , GED is a straight line , and the angles at G and D are the angles at the base of the isosceles triangle F D G ; where- fore the latter is equal to the angle at G , that is , to the angle at A , as before . Therefore ...
... coincides with GE , GED is a straight line , and the angles at G and D are the angles at the base of the isosceles triangle F D G ; where- fore the latter is equal to the angle at G , that is , to the angle at A , as before . Therefore ...
Página 8
... coincide with AC , and BE with B C , it is evident that the parts AD and E B ( curvilineal or otherwise ) of the whole line A DEB ( curvilineal or otherwise ) will form a are likewise themselves parallelograms the exterior angle shall ...
... coincide with AC , and BE with B C , it is evident that the parts AD and E B ( curvilineal or otherwise ) of the whole line A DEB ( curvilineal or otherwise ) will form a are likewise themselves parallelograms the exterior angle shall ...
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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