Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 sider |
Inni boken
Resultat 1-5 av 73
Side ix
... Section IV . Circles in Contact Miscellaneous Exercises Classified Summary · 98 111 Secants and Tangents . Principle of Continuity . 115 130 134 136 CHAPTER III SIMILAR RECTILINEAR FIGURES Section 1. On Measurement , ix.
... Section IV . Circles in Contact Miscellaneous Exercises Classified Summary · 98 111 Secants and Tangents . Principle of Continuity . 115 130 134 136 CHAPTER III SIMILAR RECTILINEAR FIGURES Section 1. On Measurement , ix.
Side x
... Measurement , Ratio , and Proportion . Theory of Limits Section II . Similar Polygons . Section III . Problems of ... MEASUREMENT OF THE CIRCLE PAGE 140 156 174 180 189 190 194 207 220 226 229 230 Section I. Regular Polygons Section II ...
... Measurement , Ratio , and Proportion . Theory of Limits Section II . Similar Polygons . Section III . Problems of ... MEASUREMENT OF THE CIRCLE PAGE 140 156 174 180 189 190 194 207 220 226 229 230 Section I. Regular Polygons Section II ...
Side 14
... already drawn . The ruler is supposed to have no scale of measurements marked on it , so that it cannot be used to compare lengths . The compasses are used for describing circles and for mark- 14 [ INTROD . ELEMENTARY GEOMETRY.
... already drawn . The ruler is supposed to have no scale of measurements marked on it , so that it cannot be used to compare lengths . The compasses are used for describing circles and for mark- 14 [ INTROD . ELEMENTARY GEOMETRY.
Side 53
... measured along the perpendicular from the point to the line . EXERCISES 1. Of all the line - segments which can be drawn from a given point to a given straight line not passing through it , the perpendicular is the shortest . 2. From a ...
... measured along the perpendicular from the point to the line . EXERCISES 1. Of all the line - segments which can be drawn from a given point to a given straight line not passing through it , the perpendicular is the shortest . 2. From a ...
Side 139
... circle and which are subtended by the intercepted arcs , according as the secants intersect within or without the circle . §§ 200 , 202 . CHAPTER III SIMILAR RECTILINEAR FIGURES SECTION I MEASUREMENT , RATIO SUMMARY ] 139 THE CIRCLE.
... circle and which are subtended by the intercepted arcs , according as the secants intersect within or without the circle . §§ 200 , 202 . CHAPTER III SIMILAR RECTILINEAR FIGURES SECTION I MEASUREMENT , RATIO SUMMARY ] 139 THE CIRCLE.
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 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
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 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.
Side 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...
Side 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.
Side 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.
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 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.
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 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.