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 3
... manner of doing something which is required to be done , a proposition of which kind is called a problem . A proposition has commonly the fol- lowing parts : - 1o . the enunciation , declaring what is to be proved or done ; 20. the ...
... manner of doing something which is required to be done , a proposition of which kind is called a problem . A proposition has commonly the fol- lowing parts : - 1o . the enunciation , declaring what is to be proved or done ; 20. the ...
Σελίδα 5
... manner it may be shewn , that the two angles A B C , ABD , are equal to the same three angles . Therefore , ( ax . 1. ) the angles A B C , ABD , are together equal to the angles E B C , E B D , that is , to two right angles . Next , let ...
... manner it may be shewn , that the two angles A B C , ABD , are equal to the same three angles . Therefore , ( ax . 1. ) the angles A B C , ABD , are together equal to the angles E B C , E B D , that is , to two right angles . Next , let ...
Σελίδα 10
... manner it may be shown that the perpendicular AF is the least of all straight lines which can be drawn from A to B C. For , if A B be any other straight line , the angle A B F being less than the exterior angle AFC , that is than AFB ...
... manner it may be shown that the perpendicular AF is the least of all straight lines which can be drawn from A to B C. For , if A B be any other straight line , the angle A B F being less than the exterior angle AFC , that is than AFB ...
Σελίδα 18
... manner , it may be shown , that , if there be two straight lines , one of which is contained an exact num- ber of times in one side of a rectangle , and the other an exact number of times in the side adjoining to it ; the rectangle ...
... manner , it may be shown , that , if there be two straight lines , one of which is contained an exact num- ber of times in one side of a rectangle , and the other an exact number of times in the side adjoining to it ; the rectangle ...
Σελίδα 19
... manner , the rectangle under AB , BC is equal to the rectangle under A C , C B together with the square of CB . Therefore , the square of A B is equal to twice the rect- angle AC , C B , together with the squares of A C , CB ; or ...
... manner , the rectangle under AB , BC is equal to the rectangle under A C , C B together with the square of CB . Therefore , the square of A B is equal to twice the rect- angle AC , C B , together with the squares of A C , CB ; or ...
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