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 prop- erties 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 prop- erties 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 ...
... 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 ...
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 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