Elements of Geometry |
From inside the book
Results 1-5 of 25
Page xi
... difference with the antecedent , this last will be contained once less than it was in the first consequent ; the new ratio will be equal to the primitive ratio diminished by unity . If the same operation be performed upon the two ratios ...
... difference with the antecedent , this last will be contained once less than it was in the first consequent ; the new ratio will be equal to the primitive ratio diminished by unity . If the same operation be performed upon the two ratios ...
Page xii
... difference of the two first terms is to the difference of the two last , as the first is to the third , or as the second is to the fourth . Moreover the two ratios A : C , B : D , being common to the two proportions above obtained , it ...
... difference of the two first terms is to the difference of the two last , as the first is to the third , or as the second is to the fourth . Moreover the two ratios A : C , B : D , being common to the two proportions above obtained , it ...
Page xiii
... difference of the antecedents is to the difference of the consequents , as one antecedent is to its consequent ; Whence it follows , that the sum of the antecedents is to their dif- ference , as the sum of the consequents is to their ...
... difference of the antecedents is to the difference of the consequents , as one antecedent is to its consequent ; Whence it follows , that the sum of the antecedents is to their dif- ference , as the sum of the consequents is to their ...
Page 2
... difference between the two angles DCE , BCE . Fig . 3 . Fig . 4 . Fig . 5 . 10. When a straight line AB ( fig . 3 ) meets another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is ...
... difference between the two angles DCE , BCE . Fig . 3 . Fig . 4 . Fig . 5 . 10. When a straight line AB ( fig . 3 ) meets another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is ...
Page 29
... difference of their radii CA , AD ( fig . 60 ) , these two circles will Fig . 60 . touch each other internally . Demonstration . In the first place it is evident , that they will have the point A common ; and they can have no other ...
... difference of their radii CA , AD ( fig . 60 ) , these two circles will Fig . 60 . touch each other internally . Demonstration . In the first place it is evident , that they will have the point A common ; and they can have no other ...
Other editions - View all
Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence