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 122
... unit sect has for area this unit sect , since IXI = I. Any polygon has for area as many such unit sects as the polygon contains such squares on the unit sect . The number expressing the area of a polygon will thus be the same in terms of ...
... unit sect has for area this unit sect , since IXI = I. Any polygon has for area as many such unit sects as the polygon contains such squares on the unit sect . The number expressing the area of a polygon will thus be the same in terms of ...
Seite 127
... unit , compute the three altitudes . Ex . 293. The sum of the squares of two sides of a tri- angle is equal to twice the square of half the third side increased by twice the square of the median upon that side . [ a2 + c2 - b2 = 2m2 ] ...
... unit , compute the three altitudes . Ex . 293. The sum of the squares of two sides of a tri- angle is equal to twice the square of half the third side increased by twice the square of the median upon that side . [ a2 + c2 - b2 = 2m2 ] ...
Seite 129
... unit sect preceded by a number . From our knowledge of the number and the unit sect it multiplies , we get knowledge of the sect to be expressed , and we can always construct this expression . For science , the unit sect is the centi ...
... unit sect preceded by a number . From our knowledge of the number and the unit sect it multiplies , we get knowledge of the sect to be expressed , and we can always construct this expression . For science , the unit sect is the centi ...
Seite 131
... unit sect for radius is called the unit circle . 318. Definition . The length of the arc of unit circle intercepted by an angle with vertex at center is called the size of the angle . 319. Definition . The angle whose size is the unit ...
... unit sect for radius is called the unit circle . 318. Definition . The length of the arc of unit circle intercepted by an angle with vertex at center is called the size of the angle . 319. Definition . The angle whose size is the unit ...
Seite 132
... unit sect is called a radian . 320. Theorem . A radian intercepts on any circle an arc whose length is that circle's ... units . Ex . 310. Find the diameter of a wheel which in a street 19,635 meters long makes 3125 revolutions . Ex ...
... unit sect is called a radian . 320. Theorem . A radian intercepts on any circle an arc whose length is that circle's ... units . Ex . 310. Find the diameter of a wheel which in a street 19,635 meters long makes 3125 revolutions . Ex ...
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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
Beliebte Passagen
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.