Elements of Geometry |
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Page vi
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the pro- perties of straight lines which meet those of perpendiculars , the theorem upon the sum of the angles of a triangle ...
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the pro- perties of straight lines which meet those of perpendiculars , the theorem upon the sum of the angles of a triangle ...
Page 1
... plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of ex ... Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ...
... plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of ex ... Angles , like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ...
Page 2
... angles DCB , BCE , and the angle DCB is the difference between the two angles DCE , BCE . Fig . 3 . Fig . 4 . Fig ... plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by ...
... angles DCB , BCE , and the angle DCB is the difference between the two angles DCE , BCE . Fig . 3 . Fig . 4 . Fig ... plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by ...
Page 3
... angles equal . 20. Two polygons are equilateral with respect to each other ... angles in the second , are called homologous ( A ) . 21. An Axiom is a proposition , the truth of which is self ... PLANE FIGURES . SECTION FIRST . Axioms . 3.
... angles equal . 20. Two polygons are equilateral with respect to each other ... angles in the second , are called homologous ( A ) . 21. An Axiom is a proposition , the truth of which is self ... PLANE FIGURES . SECTION FIRST . Axioms . 3.
Page 4
Adrien Marie Legendre. PART FIRST . OF PLANE FIGURES . SECTION FIRST . First ... angles ACD , EGH , will be equal . Take the four distances CA , CB , GE , GF ... angle EGH = HGF , it follows that Fig . 17 . But and besides , by hypothesis ...
Adrien Marie Legendre. PART FIRST . OF PLANE FIGURES . SECTION FIRST . First ... angles ACD , EGH , will be equal . Take the four distances CA , CB , GE , GF ... angle EGH = HGF , it follows that Fig . 17 . But and besides , by hypothesis ...
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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