Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 sider |
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Resultat 1-5 av 99
Side vi
... proof in connection with matters which he clearly sees need proving ; other similar problems are inserted where they ... proof , to be sure , but the proofs given in text - books on elementary geometry are as a rule either unsatisfactory ...
... proof in connection with matters which he clearly sees need proving ; other similar problems are inserted where they ... proof , to be sure , but the proofs given in text - books on elementary geometry are as a rule either unsatisfactory ...
Side vii
... a formal demon- stration . Emphasize the geometric truth presented . Fix as your ideal an elegant , faultless proof , and gradually work up to it . 4. Remember that in this subject the primary object should PREFACE vii.
... a formal demon- stration . Emphasize the geometric truth presented . Fix as your ideal an elegant , faultless proof , and gradually work up to it . 4. Remember that in this subject the primary object should PREFACE vii.
Side 23
... is equi- lateral . Proof . Because A is the centre of the first circle , and the line - segments AB and AC are radii , therefore AC equals AB . Because B is the centre of the other circle , 32-34 ] 23 TRIANGLES AND PARALLELOGRAMS.
... is equi- lateral . Proof . Because A is the centre of the first circle , and the line - segments AB and AC are radii , therefore AC equals AB . Because B is the centre of the other circle , 32-34 ] 23 TRIANGLES AND PARALLELOGRAMS.
Side 24
... Proof that the thing constructed is what was required . In the case of a theorem the proof goes to show that the state- ment made in the enunciation is true . 36. In naming a circle we usually mention three points on it , these being ...
... Proof that the thing constructed is what was required . In the case of a theorem the proof goes to show that the state- ment made in the enunciation is true . 36. In naming a circle we usually mention three points on it , these being ...
Side 27
... 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 triangle CAB ...
... 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 triangle CAB ...
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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.