Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 sider |
Inni boken
Resultat 1-5 av 100
Side 24
... prove that AFB is also an equilateral triangle . 3. Join CF. Show that the ... have 1. The general enunciation of the proposition ; that is , the statement of ... required . In the case of a theorem the proof goes to show that the state ...
... prove that AFB is also an equilateral triangle . 3. Join CF. Show that the ... have 1. The general enunciation of the proposition ; that is , the statement of ... required . In the case of a theorem the proof goes to show that the state ...
Side 27
... required . Proof . In the triangle CAB , the side CA equals the given line - segment n [ why ? ] ; the side CB equals the given line- segment p [ why ? ] ; and the side AB was chosen equal to the given line - segment m . Hence the ...
... required . Proof . In the triangle CAB , the side CA equals the given line - segment n [ why ? ] ; the side CB equals the given line- segment p [ why ? ] ; and the side AB was chosen equal to the given line - segment m . Hence the ...
Side 29
... required to prove that the third side BC equals the third side EF , that the angle ABC equals the angle DEF , and that the angle ACB equals the angle DFE . Proof . Place the triangle DEF upon the triangle ABC so that the vertex D shall ...
... required to prove that the third side BC equals the third side EF , that the angle ABC equals the angle DEF , and that the angle ACB equals the angle DFE . Proof . Place the triangle DEF upon the triangle ABC so that the vertex D shall ...
Side 31
... have a side and the two adjacent angles of the one equal , respectively , to a side and the two adjacent angles of the ... required to prove that the two triangles are identically equal . Proof . Place the triangle DEF upon the triangle ...
... have a side and the two adjacent angles of the one equal , respectively , to a side and the two adjacent angles of the ... required to prove that the two triangles are identically equal . Proof . Place the triangle DEF upon the triangle ...
Side 34
... required to prove that the angle at C , opposite the side BA , equals the angle at B , opposite the side CA. BAC , Proof . Suppose that the line AD is the bisector of and that it meets BC at D. It thus divides △ BAC into two triangles ...
... required to prove that the angle at C , opposite the side BA , equals the angle at B , opposite the side CA. BAC , Proof . Suppose that the line AD is the bisector of and that it meets BC at D. It thus divides △ BAC into two triangles ...
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.