Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 11
... ( Sect . IV ) < 44 , 45 Concave polygon 73 of polygon 47 Concentric circles 198 Antecedent 258 Conclusion Concl . 2 , 85 Apothem Ap . 313 Concurrent 151 Approach ( as a limit ) = 318 Concyclic 218 Arc 161 Condition Cond . 2 , 85 Area 69 ...
... ( Sect . IV ) < 44 , 45 Concave polygon 73 of polygon 47 Concentric circles 198 Antecedent 258 Conclusion Concl . 2 , 85 Apothem Ap . 313 Concurrent 151 Approach ( as a limit ) = 318 Concyclic 218 Arc 161 Condition Cond . 2 , 85 Area 69 ...
Seite 12
... ( sect ) 261 , 279 , 306 Limit 318 Elimination 90 Line Equality ( Sect . III ) = 32-38 Linear 18 236 Equiangular Equiang . 74 Location 96 , 110 Equilateral Equimultiples Equilat . 74 Locus 146 262 Logic ( Sect . I ) 1-11 , 339-342 ...
... ( sect ) 261 , 279 , 306 Limit 318 Elimination 90 Line Equality ( Sect . III ) = 32-38 Linear 18 236 Equiangular Equiang . 74 Location 96 , 110 Equilateral Equimultiples Equilat . 74 Locus 146 262 Logic ( Sect . I ) 1-11 , 339-342 ...
Seite 13
... sect 279 Stand on 188 Point of tangency 167 , 173 Straight angle St. Z 49 Polygon ( Sect . V ) 69 Straight edge 176 Positive sects and angles 345 Straight line 22 Postulate Post . 176 Subtend 188 Problem Prob . 84 Subtraction 227-8 ...
... sect 279 Stand on 188 Point of tangency 167 , 173 Straight angle St. Z 49 Polygon ( Sect . V ) 69 Straight edge 176 Positive sects and angles 345 Straight line 22 Postulate Post . 176 Subtend 188 Problem Prob . 84 Subtraction 227-8 ...
Seite 26
... sect , and is called AB . Where there Α B is nothing to indicate otherwise , sect will mean straight- line sect . B Ꭰ 26. Broken Lines . A line composed of sects of differ- ent lines is called a broken line , as ABCDE . A broken line ...
... sect , and is called AB . Where there Α B is nothing to indicate otherwise , sect will mean straight- line sect . B Ꭰ 26. Broken Lines . A line composed of sects of differ- ent lines is called a broken line , as ABCDE . A broken line ...
Seite 28
... sect cannot inclose surface , there can be no confusion with equivalence . 36. Congruence includes equivalence , whereas equiva- lence does not imply congruence ; a figure inclosed by a curved line might be equivalent to a figure ...
... sect cannot inclose surface , there can be no confusion with equivalence . 36. Congruence includes equivalence , whereas equiva- lence does not imply congruence ; a figure inclosed by a curved line might be equivalent to a figure ...
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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.