Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's FoundationsJ. Wiley & Sons, 1904 - 285 Seiten |
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... radius by r ; the ex - centers beyond a , b , c by I1 , I , I ,; their ex - radii by r1 , 72 , 73 ; the circumcenter by 0 ; the circumradius by R ; angle by ; angles by xs ; angle made by the rays BA and BC by ABC ; angle made by the ...
... radius by r ; the ex - centers beyond a , b , c by I1 , I , I ,; their ex - radii by r1 , 72 , 73 ; the circumcenter by 0 ; the circumradius by R ; angle by ; angles by xs ; angle made by the rays BA and BC by ABC ; angle made by the ...
Seite 49
... radius . 107. Theorem . Any ray from the center of a circle and in its plane a cuts the circle in one , and only one , point . 108. Theorem . Any straight through its center and in its plane a cuts the circle in two , and only two ...
... radius . 107. Theorem . Any ray from the center of a circle and in its plane a cuts the circle in one , and only one , point . 108. Theorem . Any straight through its center and in its plane a cuts the circle in two , and only two ...
Seite 51
... . Therefore ( by 119 ) AO = BO CO . Therefore A , B , B A D FIG . 45 . C are on the circle with center O and radius AO . By 122 the three are on no other circle . 124. Corollary to 123 and 120. [ Points on the THE CIRCLE . 51.
... . Therefore ( by 119 ) AO = BO CO . Therefore A , B , B A D FIG . 45 . C are on the circle with center O and radius AO . By 122 the three are on no other circle . 124. Corollary to 123 and 120. [ Points on the THE CIRCLE . 51.
Seite 52
... radius , R , the circum - radius . 126. Corollary to 123. The three perpendicular bisectors of the sides of a triangle are copunctal in its circumcenter . 127. Theorem . The three altitudes of a triangle are copunctal . Given the ABC ...
... radius , R , the circum - radius . 126. Corollary to 123. The three perpendicular bisectors of the sides of a triangle are copunctal in its circumcenter . 127. Theorem . The three altitudes of a triangle are copunctal . Given the ABC ...
Seite 56
... straight have one point in common with a circle and be not perpendicular to the radius to that point , it has also a second point in com- mon with the circle . Let the straight a have the point P in com- 56 RATIONAL GEOMETRY .
... straight have one point in common with a circle and be not perpendicular to the radius to that point , it has also a second point in com- mon with the circle . Let the straight a have the point P in com- 56 RATIONAL GEOMETRY .
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Häufige Begriffe und Wortgruppen
adjacent angles altitude angle h angles opposite assumptions axis base bisection-point bisector bisects called chord circle circumcenter congruent congruent angles Construction coplanar copunctal Corollary costraight Definition determine diagonals diameter dicular draw edges end-points Engineering equilateral equivalent by completion face-angles Find the locus frustum Geometry given angle given plane given point given sect given straight greater gruent hypothenuse hypothesis inscribed inscribed angle intersection Inverse isosceles triangle joining Manual median meet meters minor arc morocco opposite sides orthocenter pair parallel parallelogram part-tetrahedra perigon perpen perpendicular point in common polar pole polygon polyhedron prismatoid Problem Proof proportional prove pyramid quad quadrant quadrilateral radius right angles sphere spherical angle spherical polygon spherical triangle square st's straightest summits supplemental symmetrical tangent Text-book Theorem third side transversal partitions Treatise triangle ABC trihedral unit sect vertex vertices
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Seite 293 - Fuertes's Water and Public Health i2mo, i 50 Water-filtration Works. i2mo, 2 50 Ganguillet and Kutter's General Formula for the Uniform Flow of Water in Rivers and Other Channels.
Seite 294 - Trautwine's Method of Calculating the Cubic Contents of Excavations and Embankments by the Aid of Diagrams 8vo, 2 oo The Field Practice of {Laying Out Circular Curves for Railroads.
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Seite 239 - If two triangles have two sides of the one equal to two sides of the...
Seite 293 - I2mo, 60 Mason's Water-supply. (Considered Principally from a Sanitary Standpoint.) 3d Edition, Rewritten 8vo, 4 oo Examination of Water.
Seite 300 - Machinery 8vo, i 50 Part II. Form, Strength, and Proportions of Parts 8vo, 3 oo Kerr's Power and Power Transmission 8vo...
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