Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 8
... called " Indirect Method " and " Reductio ad Absurdum " are unnecessary if logic is understood . " Intersection of Loci , " while following directly from the classification method , has its uses , and the analysis method for ...
... called " Indirect Method " and " Reductio ad Absurdum " are unnecessary if logic is understood . " Intersection of Loci , " while following directly from the classification method , has its uses , and the analysis method for ...
Seite 17
... called converse to each other . 5. Negative or Obverse . The first and third have the condition and conclusion of either the negative of the condition and the conclusion of the other ; or , the condition and conclusion of either made ...
... called converse to each other . 5. Negative or Obverse . The first and third have the condition and conclusion of either the negative of the condition and the conclusion of the other ; or , the condition and conclusion of either made ...
Seite 22
... called Euclidean Space ) is unlimited . Space is evidently divis- ible , for all bodies occupy portions of space . 16. Solids . Any limited portion of space , such as the space occupied by any body , is called - irrespective of the ...
... called Euclidean Space ) is unlimited . Space is evidently divis- ible , for all bodies occupy portions of space . 16. Solids . Any limited portion of space , such as the space occupied by any body , is called - irrespective of the ...
Seite 23
... called a surface . If two adjoining lots are considered as extending down into the ground so that any distance down there is still a boundary between the lots , that boundary is a surface . It evidently does not occupy space , for any ...
... called a surface . If two adjoining lots are considered as extending down into the ground so that any distance down there is still a boundary between the lots , that boundary is a surface . It evidently does not occupy space , for any ...
Seite 25
... called a straight line . ( b ) A line that is determined by any two of its points is a straight line . The word " determined " here means that the line is distinguished from any other line of the same kind by the fact that it goes ...
... called a straight line . ( b ) A line that is determined by any two of its points is a straight line . The word " determined " here means that the line is distinguished from any other line of the same kind by the fact that it goes ...
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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.