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 8
... consequently , the line ADE B in some point E which is in the part DEB . Join E B. Then , if AD be made to 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 ...
... consequently , the line ADE B in some point E which is in the part DEB . Join E B. Then , if AD be made to 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 ...
Σελίδα 18
... Consequently the square of 5 times M is equal to the square of 4 times M , together with the square of 3 times M. Scholium . For From the theorems of this Section rules are easily deduced for the men- suration of rectilineal figures ...
... Consequently the square of 5 times M is equal to the square of 4 times M , together with the square of 3 times M. Scholium . For From the theorems of this Section rules are easily deduced for the men- suration of rectilineal figures ...
Σελίδα 21
... consequently , one are equal to the three sides of the the angle B A C is ( 7. ) equal to the angle MLN , that is , to a right angle . * Therefore , & c . square of either of the two sides is equal Cor . 1. In a right - angled triangle ...
... consequently , one are equal to the three sides of the the angle B A C is ( 7. ) equal to the angle MLN , that is , to a right angle . * Therefore , & c . square of either of the two sides is equal Cor . 1. In a right - angled triangle ...
Σελίδα 44
... consequently A : C :: A ' : C ' . Therefore , & c . Cor . The same may be stated of any number of magnitudes A , B , C , D , and A ' , B ' , C ' , D ' ; that is , if A : B :: C : D and B : C :: B ' : C ' and C : D :: A ' : B ' . then er ...
... consequently A : C :: A ' : C ' . Therefore , & c . Cor . The same may be stated of any number of magnitudes A , B , C , D , and A ' , B ' , C ' , D ' ; that is , if A : B :: C : D and B : C :: B ' : C ' and C : D :: A ' : B ' . then er ...
Σελίδα 59
... consequently ( I. 7. ) , equal in every respect . Therefore A B C is equi- angular with K L M , that is , with DEF . Therefore , & c . Cor . 1. Equiangular triangles are similar ( Def . 14. ) Cor . 2. Triangles which have the sides of ...
... consequently ( I. 7. ) , equal in every respect . Therefore A B C is equi- angular with K L M , that is , with DEF . Therefore , & c . Cor . 1. Equiangular triangles are similar ( Def . 14. ) Cor . 2. Triangles which have the sides of ...
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