Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 13
... edge 176 Positive sects and angles 345 Straight line 22 Postulate Post . 176 Subtend 188 Problem Prob . 84 Subtraction 227-8 Projection Proj . 243 Sum + 47 , 227-8 Proof 86-7 , 260 Summary 89 , 158 , 223 , 256 , 274 , Proportion ( al ) ...
... edge 176 Positive sects and angles 345 Straight line 22 Postulate Post . 176 Subtend 188 Problem Prob . 84 Subtraction 227-8 Projection Proj . 243 Sum + 47 , 227-8 Proof 86-7 , 260 Summary 89 , 158 , 223 , 256 , 274 , Proportion ( al ) ...
Seite 25
... edge , in which case no second line will appear . The edge represents the straight line through the two points , and is the only one . 24. A second fact about straight lines which is based directly on the straight - line axiom is * Two ...
... edge , in which case no second line will appear . The edge represents the straight line through the two points , and is the only one . 24. A second fact about straight lines which is based directly on the straight - line axiom is * Two ...
Seite 94
... edge ( or ruler , except that no measurements may be taken with it ) and the compass . The postulates that allow the use of these instruments are : ( 1 ) A straight line may be drawn from any one point to any other point . ( 2 ) A sect ...
... edge ( or ruler , except that no measurements may be taken with it ) and the compass . The postulates that allow the use of these instruments are : ( 1 ) A straight line may be drawn from any one point to any other point . ( 2 ) A sect ...
Seite 194
... edge of the ceiling of a room is parallel to the front edge of the floor because they are both parallel to the front edge of the ceiling . The proofs of some propositions in plane geometry would hold even if the figures used did not lie ...
... edge of the ceiling of a room is parallel to the front edge of the floor because they are both parallel to the front edge of the ceiling . The proofs of some propositions in plane geometry would hold even if the figures used did not lie ...
Seite 223
... edge , as in Fig . 13 . For more than three planes intersecting in parallel lines , see Figs . 17 , 18 , 19 . Three or more Planes Concurrent in a Point ( Figs . 13 , 14 ) . Choose the point that is to be the vertex , as V , and draw ...
... edge , as in Fig . 13 . For more than three planes intersecting in parallel lines , see Figs . 17 , 18 , 19 . Three or more Planes Concurrent in a Point ( Figs . 13 , 14 ) . Choose the point that is to be the vertex , as V , and draw ...
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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.