Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 24.
Σελίδα xi
... CONES Section I. Cylinders Section II . The Cone Miscellaneous Exercises 353 361 366 Classified Summary . 368 CHAPTER IX THE SPHERE Section I. Plane Sections and Tangent Planes 370 .. Section II . Section III . Spherical Angles ...
... CONES Section I. Cylinders Section II . The Cone Miscellaneous Exercises 353 361 366 Classified Summary . 368 CHAPTER IX THE SPHERE Section I. Plane Sections and Tangent Planes 370 .. Section II . Section III . Spherical Angles ...
Σελίδα 352
... any polyhedron together with eight right angles is equal to four times as many right angles as the polyhedron has vertices . § 542 . CHAPTER VIII CYLINDERS AND CONES SECTION I CYLINDERS 543. DEFINITIONS 352 [ CHAP . VII ELEMENTARY GEOMETRY.
... any polyhedron together with eight right angles is equal to four times as many right angles as the polyhedron has vertices . § 542 . CHAPTER VIII CYLINDERS AND CONES SECTION I CYLINDERS 543. DEFINITIONS 352 [ CHAP . VII ELEMENTARY GEOMETRY.
Σελίδα 353
... to move parallel to itself . The moving line is called the generator of the cylindrical surface , and the guiding curve , the director . 2 A 353 The generator in any position is an element of the CHAPTER VIII CYLINDERS AND CONES Cylinders.
... to move parallel to itself . The moving line is called the generator of the cylindrical surface , and the guiding curve , the director . 2 A 353 The generator in any position is an element of the CHAPTER VIII CYLINDERS AND CONES Cylinders.
Σελίδα 355
... to the section . CONVERSELY . If a plane is tangent to a circular cylinder it intersects the plane of the base in a tangent to the base . 551. DEFINITION . If sections of a cylindrical surface are 543-550 ] 355 CYLINDERS AND CONES.
... to the section . CONVERSELY . If a plane is tangent to a circular cylinder it intersects the plane of the base in a tangent to the base . 551. DEFINITION . If sections of a cylindrical surface are 543-550 ] 355 CYLINDERS AND CONES.
Σελίδα 357
... points ( 1 ) at a given distance from a given straight line ; ( 2 ) at given distances from each of two given parallel straight lines . DEFINITIONS 557. A prism is inscribed in a cylinder when 551-556 ] 357 CYLINDERS AND CONES.
... points ( 1 ) at a given distance from a given straight line ; ( 2 ) at given distances from each of two given parallel straight lines . DEFINITIONS 557. A prism is inscribed in a cylinder when 551-556 ] 357 CYLINDERS AND CONES.
Άλλες εκδόσεις - Προβολή όλων
Elementary Geometry, Plane and Solid; for Use in High Schools and Academies Thomas F 1859-1945 Holgate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Elementary Geometry Plane and Solid: For Use in High Schools and Academies Thomas F. Holgate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC² adjacent angles altitude angle formed angles are equal apothem base bisector bisects centre chord coincide convex convex polygon COROLLARY DEFINITION diagonals diameter dicular dihedral angle draw equal angles equal in area equiangular equidistant equilateral triangle 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 length Let ABC line perpendicular magnitudes measure mid-point number of sides opposite sides pair parallel planes parallelepiped parallelogram perimeter perpen plane angles point of contact point of intersection polyhedral angle polyhedron prism Proof Prop Proposition VIII pyramid quadrilateral radii radius ratio rectangle regular polygon required to prove respectively right angles right triangle segments side BC similar sphere square subtended supplementary angle surface tangent tetrahedron theorem triangle ABC triangle is equal trihedral vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 230 - 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.
Σελίδα 55 - 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...
Σελίδα 76 - 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.
Σελίδα 43 - Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.
Σελίδα 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.
Σελίδα 27 - 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.
Σελίδα 200 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 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.
Σελίδα 229 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.