Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 sider |
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Side vi
... polygon inscribed in a circle approaches a limit as the number of its sides is indefinitely increased . This admits of a rigorous proof , to be sure , but the proofs given in text - books on elementary geometry are as a rule either ...
... polygon inscribed in a circle approaches a limit as the number of its sides is indefinitely increased . This admits of a rigorous proof , to be sure , but the proofs given in text - books on elementary geometry are as a rule either ...
Side vii
... polygon as a figure made up of points and lines . The area of such a figure is defined to be the surface enclosed by it . This accords , I believe , with the best usage , though perhaps not with the common usage . Everywhere outside of ...
... polygon as a figure made up of points and lines . The area of such a figure is defined to be the surface enclosed by it . This accords , I believe , with the best usage , though perhaps not with the common usage . Everywhere outside of ...
Side x
... Polygons . Section III . Problems of Construction Section IV . Additional Propositions . Miscellaneous Exercises Harmonic Division Classified Summary • CHAPTER IV AREAS OF PLANE POLYGONS Section I. Parallelograms and Triangles ...
... Polygons . Section III . Problems of Construction Section IV . Additional Propositions . Miscellaneous Exercises Harmonic Division Classified Summary • CHAPTER IV AREAS OF PLANE POLYGONS Section I. Parallelograms and Triangles ...
Side xi
... Polygons 380 • 387 Section IV . Areas of Spherical Triangles 394 Section V. Volume of the Sphere . Miscellaneous Exercises Classified Summary 405 409 • 410 APPENDIX PLANE TRIGONOMETRY 416 TABLES MENSURATION FORMULAS . 435 INDEX TO ...
... Polygons 380 • 387 Section IV . Areas of Spherical Triangles 394 Section V. Volume of the Sphere . Miscellaneous Exercises Classified Summary 405 409 • 410 APPENDIX PLANE TRIGONOMETRY 416 TABLES MENSURATION FORMULAS . 435 INDEX TO ...
Side 72
... polygon . 113. Two elements are said to be opposite when just as many ele- ments lie between them the one way round as the other way round the figure . If the number of sides in the figure is even , a side is always opposite a side ...
... polygon . 113. Two elements are said to be opposite when just as many ele- ments lie between them the one way round as the other way round the figure . If the number of sides in the figure is even , a side is always opposite a side ...
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Andre utgaver - Vis alle
Elementary Geometry, Plane and Solid: For Use in High Schools and Academies Thomas Franklin Holgate Uten tilgangsbegrensning - 1901 |
Elementary Geometry, Plane and Solid; for Use in High Schools and Academies Thomas F 1859-1945 Holgate Ingen forhåndsvisning tilgjengelig - 2018 |
Elementary Geometry Plane and Solid: For Use in High Schools and Academies Thomas F. Holgate Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angle formed apothem base bisector bisects called centre chord circumscribed coincide common convex convex polygon COROLLARY DEFINITION diagonals diameter dicular dihedral angle draw equal angles equal in area equiangular equidistant EXERCISES face angles figure given circle given line-segment given plane given point given straight line greater Hence hypotenuse identically equal interior angles isosceles triangle lateral area lateral edges lateral surface length magnitudes measure meet mid-point number of sides opposite sides parallel planes parallelepiped parallelogram pass perimeter perpen plane angles point of intersection polyhedral angle polyhedron prism Proof Prop PROPOSITION pyramid quadrilateral radii radius ratio rectangle regular polygon required to prove respectively right triangle segment side BC similar sphere spherical angle spherical polygon spherical triangle square subtended supplementary angle tangent tetrahedron theorem triangle ABC triangle is equal trihedral vertex volume
Populære avsnitt
Side 187 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 207 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Side 78 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Side 45 - Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.
Side 231 - A polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a, pentagon; one of six sides, a hexagon ; one of seven sides, a heptagon ; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon.
Side 95 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 200 - The area of a triangle is equal to half the product of its base by its altitude.
Side 161 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Side 201 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.
Side 29 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.