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 32
... proportionals . measure of A , B and C is to be. nitudes are said to be commensurable , when there is some magnitude which is contained in each of them a certain number of times exactly . Magnitudes which have no common measure , are ...
... proportionals . measure of A , B and C is to be. nitudes are said to be commensurable , when there is some magnitude which is contained in each of them a certain number of times exactly . Magnitudes which have no common measure , are ...
Página 33
... proportionals . In the preceding , and in every other instance of commensurable proportion- als , the first two , and the second two , have a common numerical ratio : and , in every case , if two magnitudes , and other two , have a ...
... proportionals . In the preceding , and in every other instance of commensurable proportion- als , the first two , and the second two , have a common numerical ratio : and , in every case , if two magnitudes , and other two , have a ...
Página 38
... proportionals as de- scribed in def . [ 7 ] . The theorems , how- ever , ( that is , all of them , the first ex- cepted which is expressly enunciated of commensurables ) are likewise true with regard to the more general descrip- tion of ...
... proportionals as de- scribed in def . [ 7 ] . The theorems , how- ever , ( that is , all of them , the first ex- cepted which is expressly enunciated of commensurables ) are likewise true with regard to the more general descrip- tion of ...
Página 40
... proportionals , and if the first be any multiple or part of the second , the third shall be the same multiple or part of the fourth : and conversely , if one magnitude be the same multiple , or part , of another , that a third magnitude ...
... proportionals , and if the first be any multiple or part of the second , the third shall be the same multiple or part of the fourth : and conversely , if one magnitude be the same multiple , or part , of another , that a third magnitude ...
Página 41
Cor . If A , B , C , D be proportionals , and if any like parts of the first and third be taken , and also any like parts of the second and fourth , these like parts will likewise be proportionals . PROP . [ 17 ] . Magnitudes have the ...
Cor . If A , B , C , D be proportionals , and if any like parts of the first and third be taken , and also any like parts of the second and fourth , these like parts will likewise be proportionals . PROP . [ 17 ] . Magnitudes have the ...
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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