Elements of Geometry |
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Page iii
Moreover , the work is divided into two parts , one treating of plane figures , and the other of solids ; and the subdivisions of each part are denominated sections . As a knowledge of algebraical signs and the theory of proportions is ...
Moreover , the work is divided into two parts , one treating of plane figures , and the other of solids ; and the subdivisions of each part are denominated sections . As a knowledge of algebraical signs and the theory of proportions is ...
Page vi
This work is divided into eight sections , four of which treat of plane geometry , and four of solid geometry . The first section , entitled first principles , & c.contains the properties of straight lines which meet those of ...
This work is divided into eight sections , four of which treat of plane geometry , and four of solid geometry . The first section , entitled first principles , & c.contains the properties of straight lines which meet those of ...
Page ix
A indicates the quotient arising from the magnitude represented by A being divided by that represented by B , or A divided by B. A = B signifies that the magnitude represented by A is equal to that represented by B , or A equal to B. A ...
A indicates the quotient arising from the magnitude represented by A being divided by that represented by B , or A divided by B. A = B signifies that the magnitude represented by A is equal to that represented by B , or A equal to B. A ...
Page 16
42 ) , be the proposed polygon ; if , from the vertex of the angle A , we draw to the vertices of the opposite angles the diagonals AC , AD , AE , & c . , it is evident , that the polygon will be divided into five triangles , if it have ...
42 ) , be the proposed polygon ; if , from the vertex of the angle A , we draw to the vertices of the opposite angles the diagonals AC , AD , AE , & c . , it is evident , that the polygon will be divided into five triangles , if it have ...
Page 33
Let us now imagine the arc AB to be divided into equal parts , of which each shall be less than DO ; there will be at least one point of division between D and 0 ; let I be this point , and join CI ; the arcs AB , AI , will be to each ...
Let us now imagine the arc AB to be divided into equal parts , of which each shall be less than DO ; there will be at least one point of division between D and 0 ; let I be this point , and join CI ; the arcs AB , AI , will be to each ...
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ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence