Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's FoundationsJ. Wiley & Sons, 1904 - 285 Seiten |
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Seite 39
... axis . · A point has , with regard to a given axis of symmetry , always one , and only one , sym- FIG . 31. metrical point , namely , the one which ends the sect from the given point perpendicular to the axis and bisected by the axis ...
... axis . · A point has , with regard to a given axis of symmetry , always one , and only one , sym- FIG . 31. metrical point , namely , the one which ends the sect from the given point perpendicular to the axis and bisected by the axis ...
Seite 40
... axis of symmetry . FIG . 33 . Any figure has , with regard to any given straight as axis , always one , and only one , symmetrical figure . 88. Theorem . An angle is symmetrical with re- P FIG . 34 . gard to its bisector and the end ...
... axis of symmetry . FIG . 33 . Any figure has , with regard to any given straight as axis , always one , and only one , symmetrical figure . 88. Theorem . An angle is symmetrical with re- P FIG . 34 . gard to its bisector and the end ...
Seite 41
... axis . Ex . 49. The bisector of an angle is symmetrical to the bisector of the symmetrical angle . Ex . 50. A figure made up of a straight and a point is symmetrical . Ex . 51. In any deltoid [ 1 ] One diagonal ( the axis ) is the ...
... axis . Ex . 49. The bisector of an angle is symmetrical to the bisector of the symmetrical angle . Ex . 50. A figure made up of a straight and a point is symmetrical . Ex . 51. In any deltoid [ 1 ] One diagonal ( the axis ) is the ...
Seite 42
... axis ) joins the vertices of congruent angles and makes congruent angles with the congruent sides . [ 5 ] The triangles made by one diagonal ( the axis ) are congruent . [ 6 ] One diagonal ( not the axis ) makes two isosceles triangles ...
... axis ) joins the vertices of congruent angles and makes congruent angles with the congruent sides . [ 5 ] The triangles made by one diagonal ( the axis ) are congruent . [ 6 ] One diagonal ( not the axis ) makes two isosceles triangles ...
Seite 50
... axis . 115. Corollary to 113. If with the end - points of a sect each of two points gives congruent sects the two determine its perpen- dicular bisector . 116. Corollary to 115. If two circles have two points in com- mon their center ...
... axis . 115. Corollary to 113. If with the end - points of a sect each of two points gives congruent sects the two determine its perpen- dicular bisector . 116. Corollary to 115. If two circles have two points in com- mon their center ...
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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 hedron 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.
Seite 299 - Part II. Design, Construction, and Operation 8vo, 6 oo Handbook of Engine and Boiler Trials, and the Use of the Indicator and the Prony Brake 8vo, 5 oo Stationary Steam-engines 8vo...
Seite 300 - Power of Transmission. (Herrmann — Klein.) 8vo, 5 oo Machinery of Transmission and Governors. (Herrmann — Klein.). 8vo, 5 oo Wood's Elements of Analytical Mechanics 8vo, 3 oo Principles of Elementary Mechanics i2mo, i 25 Turbines • 8vo, 2 50 The World's Columbian Exposition of 1893 4to, i oo METALLURGY. Egleston's Metallurgy of Silver, Gold, and Mercury: Vol.
Seite 292 - Wilson's Topographic Surveying 8vo, 3 50 BRIDGES AND ROOFS. Boiler's Practical Treatise on the Construction of Iron Highway Bridges. .8vo, 2 oo * Thames River Bridge 4to, paper...
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...
Seite 289 - Bernadou's Smokeless Powder. — Nitro-cellulose, and Theory of the Cellulose Molecule 12mo, 2 50 * Biltz's Introduction to Inorganic Chemistry. (Hall and Phelan.). . . 12mo, 1 25 Laboratory Methods of Inorganic Chemistry. (Hall and Blanchard.) 8vo, 3 00 * Blanchard's Synthetic Inorganic Chemistry 12mo, 1 00 * Browning's Introduction to the Rarer Elements 8vo, 1 50 * Claassen's Beet-sugar Manufacture.