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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Σελίδα 31
... ratio of 5 to 6. " The word proportion has on the other hand been appropriated to ex- press the equality of ratios , as here- after defined ; or , as it may be here less minutely explained , the case in which one magnitude is as many ...
... ratio of 5 to 6. " The word proportion has on the other hand been appropriated to ex- press the equality of ratios , as here- after defined ; or , as it may be here less minutely explained , the case in which one magnitude is as many ...
Σελίδα 32
... ratio of A to B. If the terms of the ratio of A to B be equal , it is evident that the mag- nitudes A , B , must likewise be equal . In this case the ratio is said to be a ratio of equality . the same kind , and other two , and if Def ...
... ratio of A to B. If the terms of the ratio of A to B be equal , it is evident that the mag- nitudes A , B , must likewise be equal . In this case the ratio is said to be a ratio of equality . the same kind , and other two , and if Def ...
Σελίδα 33
... ratio : and , in every case , if two magnitudes , and other two , have a common numerical ratio , the four magnitudes are , accord- ing to this definition , proportionals . It is evident from the observations on def . 6 , that if four ...
... ratio : and , in every case , if two magnitudes , and other two , have a common numerical ratio , the four magnitudes are , accord- ing to this definition , proportionals . It is evident from the observations on def . 6 , that if four ...
Σελίδα 34
... ratio of that which it has to the second B - to the fourth D , the triplicate ratio of that which it has to B , and so on : and reciprocally , A is said to have to B the subduplicate ratio of that which it has to C , the subtriplicate ratio ...
... ratio of that which it has to the second B - to the fourth D , the triplicate ratio of that which it has to B , and so on : and reciprocally , A is said to have to B the subduplicate ratio of that which it has to C , the subtriplicate ratio ...
Σελίδα 36
... ratio of two given commensurable magnitudes may be de- termined for the lowest terms of their ratio are the numbers which denote how often their greatest common measure is contained in each ( see def . 6. ) . Scholium . It may be ...
... ratio of two given commensurable magnitudes may be de- termined for the lowest terms of their ratio are the numbers which denote how often their greatest common measure is contained in each ( see def . 6. ) . Scholium . It may be ...
Άλλες εκδόσεις - Προβολή όλων
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Πλήρης προβολή - 1835 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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