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
... similar process , A B may be divided into any other number of equal parts . Therefore , & c . It is convenient to draw the parallels DF , EG , & c . by making the angle A B a , equal to B A C ( 47. ) , taking Bd , de , & c . each equal ...
... similar process , A B may be divided into any other number of equal parts . Therefore , & c . It is convenient to draw the parallels DF , EG , & c . by making the angle A B a , equal to B A C ( 47. ) , taking Bd , de , & c . each equal ...
Página 29
... similar construction , any part required , for example a fifth , may be cut off from a given triangle or rectilineal figure , by a straight line drawn from one of its angles . For in the case of the triangle , if the base BC be divided ...
... similar construction , any part required , for example a fifth , may be cut off from a given triangle or rectilineal figure , by a straight line drawn from one of its angles . For in the case of the triangle , if the base BC be divided ...
Página 30
... similar construction , any part required may be cut off from a given triangle or rectilineal figure , by a straight line drawn from a given point in one of its sides . For we have but to make CBE the same part of C B A in the first case ...
... similar construction , any part required may be cut off from a given triangle or rectilineal figure , by a straight line drawn from a given point in one of its sides . For we have but to make CBE the same part of C B A in the first case ...
Página 35
... similar examination of any two given commensurable magnitudes , be taken . At every step of the process , the remainder , as R , is diminished by the fol- lowing remainder R , or by as many times R , as are contained in it , that is ...
... similar examination of any two given commensurable magnitudes , be taken . At every step of the process , the remainder , as R , is diminished by the fol- lowing remainder R , or by as many times R , as are contained in it , that is ...
Página 42
... reconsidered with reference to a more general definition . A similar consideration will be found to have directed the arrangement of the propositions . For , if such a progression be taken , A 42 [ II . § 2 . GEOMETRY .
... reconsidered with reference to a more general definition . A similar consideration will be found to have directed the arrangement of the propositions . For , if such a progression be taken , A 42 [ II . § 2 . GEOMETRY .
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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