Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 14
... included angle , " etc. In referring to propositions or axioms as authority , it is permissible to use any easily understood abbreviation for the theorem . The ones given above are good examples of abbreviations that , if used correctly ...
... included angle , " etc. In referring to propositions or axioms as authority , it is permissible to use any easily understood abbreviation for the theorem . The ones given above are good examples of abbreviations that , if used correctly ...
Seite 41
... included between two angles , and an angle as included between two sides , when the order in which they lie is meant . 78. Vertex Angle . The angle opposite the base of a triangle is called the vertex angle , or the vertical angle . 79 ...
... included between two angles , and an angle as included between two sides , when the order in which they lie is meant . 78. Vertex Angle . The angle opposite the base of a triangle is called the vertex angle , or the vertical angle . 79 ...
Seite 48
... included angle of the one respectively equal to two sides and the included angle of the other , the triangles are congruent . ANALYSIS Class . Triangles congruent . Known Methods . Coincidence , using the axiom of motion . Method to be ...
... included angle of the one respectively equal to two sides and the included angle of the other , the triangles are congruent . ANALYSIS Class . Triangles congruent . Known Methods . Coincidence , using the axiom of motion . Method to be ...
Seite 49
... included side of the one equal to two angles and the included side of the other , the triangles are congruent . ANALYSIS This theorem is of the same class as Th . I , so must be done in the same way , or else by means of Th . I. It can ...
... included side of the one equal to two angles and the included side of the other , the triangles are congruent . ANALYSIS This theorem is of the same class as Th . I , so must be done in the same way , or else by means of Th . I. It can ...
Seite 53
... included angle . As RS can be drawn anywhere , let s be the midpoint of BC . Therefore , to make the triangles congruent , but two things are needed : That a line be drawn from any point on CA through the midpoint of BC , and extended ...
... included angle . As RS can be drawn anywhere , let s be the midpoint of BC . Therefore , to make the triangles congruent , but two things are needed : That a line be drawn from any point on CA through the midpoint of BC , and extended ...
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Plane Geometry Developed by the Syllabus Method Eugene Randolph Smith Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
altitude angles are equal angles equal apothem axiom axis base bisects called central angles chord circular cylinder circumcenter circumference congruent Construct a triangle cube diagonal diameter dihedral angle distance divided draw drawn edge equal angles equilateral triangle equivalent exterior angle figure Find the area Find the locus Find the volume formula frustum given circle given line given point given sect hypotenuse intersecting lines isosceles triangle lateral area line parallel line perpendicular locus of points lune median meet method midpoints number of sides opposite sides pair parallel planes parallelepiped parallelogram perigon perimeter plane geometry points equidistant polyhedral angle polyhedron prism Prismatoid proof propositions prove pyramid quadrilateral radii rectangle regular inscribed regular polygon right angle right circular cone right triangle secant solid geometry spherical angle spherical polygon spherical triangle straight angle straight line surface tangent Theorem third side trapezoid triangle ABC unequal vertices
Beliebte Passagen
Seite 343 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Seite 329 - The sum of the sides of any spherical polygon is less than the circumference of a great circle.
Seite 297 - Every section of a circular cone made by a plane parallel to the base is a circle.
Seite 260 - The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane.
Seite 389 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Seite 48 - 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.
Seite 73 - 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.
Seite 212 - To prove the conclusion, it is necessary to use the additional geometrical principle that but one parallel to a given line can be drawn through a given point.
Seite 304 - The volume of a circular cone is equal to one third the product of its base by its altitude.
Seite 311 - The greatest right circular cylinder that can be inscribed in a right circular cone is one whose altitude is one third that of the cone.