Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα vii
... POLYGONS . THEORY OF PROPORTION PROPORTIONAL LINES . SIMILAR POLYGONS . CONSTRUCTIONS • PAGE 4 6 7 9 10 11 12 13 14 24 37 58 68 86 218885 73 75 87 100 103 128 139 143 164 BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES.
... POLYGONS . THEORY OF PROPORTION PROPORTIONAL LINES . SIMILAR POLYGONS . CONSTRUCTIONS • PAGE 4 6 7 9 10 11 12 13 14 24 37 58 68 86 218885 73 75 87 100 103 128 139 143 164 BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES.
Σελίδα viii
... POLYGONS . COMPARISON AND MEASUREMENT OF POLYGONS CONSTRUCTIONS 174 194 BOOK V. REGULAR POLYGONS AND CIRCLES . REGULAR POLYGONS AND CIRCLES 210 CONSTRUCTIONS 224 ISOPERIMETRICAL POLYGONS . SUPPLEMENTARY 237 SYMMETRY . SUPPLEMENTARY 245 ...
... POLYGONS . COMPARISON AND MEASUREMENT OF POLYGONS CONSTRUCTIONS 174 194 BOOK V. REGULAR POLYGONS AND CIRCLES . REGULAR POLYGONS AND CIRCLES 210 CONSTRUCTIONS 224 ISOPERIMETRICAL POLYGONS . SUPPLEMENTARY 237 SYMMETRY . SUPPLEMENTARY 245 ...
Σελίδα 67
... $ 125 § 125 Substitute for AF and BH their equals , A EFE and BC + CH , then and add , observing that CHFE ; = 2 SO AE + BC . ..SO = † ( A E + B C ) . Q. E. D. lines . ON POLYGONS IN GENERAL . 143. DEF . QUADRILATERALS . 67.
... $ 125 § 125 Substitute for AF and BH their equals , A EFE and BC + CH , then and add , observing that CHFE ; = 2 SO AE + BC . ..SO = † ( A E + B C ) . Q. E. D. lines . ON POLYGONS IN GENERAL . 143. DEF . QUADRILATERALS . 67.
Σελίδα 68
... Polygon is a plane figure bounded by straight 144. DEF . The bounding lines are the sides of the polygon , and their sum , as A B + BC + CD , etc. , is the Perimeter of the polygon . The angles which the adjacent sides make with each ...
... Polygon is a plane figure bounded by straight 144. DEF . The bounding lines are the sides of the polygon , and their sum , as A B + BC + CD , etc. , is the Perimeter of the polygon . The angles which the adjacent sides make with each ...
Σελίδα 69
... polygons be mutually equilateral and equiangular , they are equal , for they may be applied the one to the other so as to coincide . 156. DEF . A polygon of three sides is a Trigon or Tri- angle ; one of four sides is a Tetragon or ...
... polygons be mutually equilateral and equiangular , they are equal , for they may be applied the one to the other so as to coincide . 156. DEF . A polygon of three sides is a Trigon or Tri- angle ; one of four sides is a Tetragon or ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume