Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 18
... known to follow ? Write five true statements , then see if their contraposites are also true . See if their converses are true . 9. Truth of the Negative and the Converse of a True Statement . The negative and the converse of a single ...
... known to follow ? Write five true statements , then see if their contraposites are also true . See if their converses are true . 9. Truth of the Negative and the Converse of a True Statement . The negative and the converse of a single ...
Seite 20
... known of mankind is known of each man separately ; but anything known of certain men only , would not necessarily be true of all men . If it is true for each man in existence , it is true for all mankind . In other words , anything ...
... known of mankind is known of each man separately ; but anything known of certain men only , would not necessarily be true of all men . If it is true for each man in existence , it is true for all mankind . In other words , anything ...
Seite 21
... known ; for example , a proof for right , acute , and obtuse - angled triangles would be true for all triangles . In the same way , a proof for triangles having three equal sides , two equal sides , and no equal sides , would be true ...
... known ; for example , a proof for right , acute , and obtuse - angled triangles would be true for all triangles . In the same way , a proof for triangles having three equal sides , two equal sides , and no equal sides , would be true ...
Seite 30
... known about the two figures is then used to deter- mine whether or not they coincide . 42. Axiom of Division . Any magnitude can be divided into any number of equal parts . ( The number must be a positive integer . ) If the magnitude is ...
... known about the two figures is then used to deter- mine whether or not they coincide . 42. Axiom of Division . Any magnitude can be divided into any number of equal parts . ( The number must be a positive integer . ) If the magnitude is ...
Seite 43
... known truth - most often from a theorem that has just been proved . ( 3 ) Problem , or Construction Theorem , which requires that a certain figure be drawn from given parts . A more definite understanding of problem will be given in ...
... known truth - most often from a theorem that has just been proved . ( 3 ) Problem , or Construction Theorem , which requires that a certain figure be drawn from given parts . A more definite understanding of problem will be given in ...
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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.