Elements of Geometry |
From inside the book
Results 1-5 of 42
Page ix
... multiplied by the magnitude represented by B , or A multiplied by B. This product is also sometimes de- noted by writing the letters one after the other without any sign ; thus AB signifies the same as A × B. The expression 4 × ( B + C ...
... multiplied by the magnitude represented by B , or A multiplied by B. This product is also sometimes de- noted by writing the letters one after the other without any sign ; thus AB signifies the same as A × B. The expression 4 × ( B + C ...
Page x
... multiplied by itself , the result is the second power , or square , of this number ; 5 × 5 , or 25 , is the second power or square of 5 . The second power , therefore , is the product of two equal fac- tors ; each of these factors is ...
... multiplied by itself , the result is the second power , or square , of this number ; 5 × 5 , or 25 , is the second power or square of 5 . The second power , therefore , is the product of two equal fac- tors ; each of these factors is ...
Page xiii
... multiply them in order , that is , term by term , the products will form a proportion ; thus AXE : BX F :: CX G : DX H , This is evident , since the new ratios , BX F , DXH , BX F , DXH , are respec- AXE CX G tively the products of the ...
... multiply them in order , that is , term by term , the products will form a proportion ; thus AXE : BX F :: CX G : DX H , This is evident , since the new ratios , BX F , DXH , BX F , DXH , are respec- AXE CX G tively the products of the ...
Page xiv
... multiply the proportion Ꭿ : B :: C : Ꭰ D by we shall have ( II ) A : B :: C : D A2 : B2 :: C2 : D2 , whence it ... multiplied by the number of linear units con- tained in B ; and we can easily conceive this product to be equal to ...
... multiply the proportion Ꭿ : B :: C : Ꭰ D by we shall have ( II ) A : B :: C : D A2 : B2 :: C2 : D2 , whence it ... multiplied by the number of linear units con- tained in B ; and we can easily conceive this product to be equal to ...
Page 16
... multiplied by 4-2 , which makes four right angles ; therefore , if all the angles of a quadrilateral are equal , each of them will be a right angle , which justifies the definition of a square and rectangle ( 17 ) . 66. Corollary II ...
... multiplied by 4-2 , which makes four right angles ; therefore , if all the angles of a quadrilateral are equal , each of them will be a right angle , which justifies the definition of a square and rectangle ( 17 ) . 66. Corollary II ...
Other editions - View all
Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence