Elements of Geometry |
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Page iii
... called books , and the propositions of each book are numbered after the manner of Euclid . It was thought more convenient for purposes of refer- ence to number definitions , propositions , corollaries , & c . , in one continued series ...
... called books , and the propositions of each book are numbered after the manner of Euclid . It was thought more convenient for purposes of refer- ence to number definitions , propositions , corollaries , & c . , in one continued series ...
Page xiv
... called also their rectangle , is nothing else than the number of linear units contained in A multiplied by the number of linear units con- tained in B ; and we can easily conceive this product to be equal to that which results from the ...
... called also their rectangle , is nothing else than the number of linear units contained in A multiplied by the number of linear units con- tained in B ; and we can easily conceive this product to be equal to that which results from the ...
Page 1
... called points . A point , therefore , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line , which is neither a straight line nor composed of straight lines , is a curved line ...
... called points . A point , therefore , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line , which is neither a straight line nor composed of straight lines , is a curved line ...
Page 2
... called a rectilineal figure , or polygon ( fig . 6 ) , and the lines taken together make the perimeter of the polygon . Fig . 7 . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of ...
... called a rectilineal figure , or polygon ( fig . 6 ) , and the lines taken together make the perimeter of the polygon . Fig . 7 . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of ...
Page 3
... called homologous ( A ) . 21. An Axiom is a proposition , the truth of which is self - evi- dent . A Theorem is a truth which becomes evident by a process of reasoning called a demonstration . A Problem is a question proposed which ...
... called homologous ( A ) . 21. An Axiom is a proposition , the truth of which is self - evi- dent . A Theorem is a truth which becomes evident by a process of reasoning called a demonstration . A Problem is a question proposed which ...
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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