Elements of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of SurveyingPratt, Woodford, 1848 - 324 páginas |
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Página 6
... variables ? Has geometry given birth to algebra , and shall she reap no advantage from her offspring ? The succinct and methodical Francœur quoting Lagrange , says , " Tant que l'Algèbre et la Géométrie ont été séparées , leurs progrès ...
... variables ? Has geometry given birth to algebra , and shall she reap no advantage from her offspring ? The succinct and methodical Francœur quoting Lagrange , says , " Tant que l'Algèbre et la Géométrie ont été séparées , leurs progrès ...
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... variable , and presented constantly under the simple notation . It embraces the binomial and logarith- mic theorems . Every teacher must have observed that isolated methods , like those employed by Legendre in cases of incommen ...
... variable , and presented constantly under the simple notation . It embraces the binomial and logarith- mic theorems . Every teacher must have observed that isolated methods , like those employed by Legendre in cases of incommen ...
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... variables .. 7. Coëfficients equated .... 8. Exercises ... 51 ខ ខ ខ ខ ខ ខ ខ 50 52 53 55 57 59 59 63 63 64 64 65 66 67 68 8589 69 69 70 BOOK SECOND . PLANE GEOMETRY DEPENDING ON THE RIGHT LINE . SECTION I. Comparison of Angles . 1 ...
... variables .. 7. Coëfficients equated .... 8. Exercises ... 51 ខ ខ ខ ខ ខ ខ ខ 50 52 53 55 57 59 59 63 63 64 64 65 66 67 68 8589 69 69 70 BOOK SECOND . PLANE GEOMETRY DEPENDING ON THE RIGHT LINE . SECTION I. Comparison of Angles . 1 ...
Página 13
... Variable . 15 PAGE 146 153 158 159 1. Ratio of the increment of a continuous function to that of its variable 162 2. Derivative of a polynomial and multiple function .. 3. Use of intermediate and converse functions .... 4. Derivative of ...
... Variable . 15 PAGE 146 153 158 159 1. Ratio of the increment of a continuous function to that of its variable 162 2. Derivative of a polynomial and multiple function .. 3. Use of intermediate and converse functions .... 4. Derivative of ...
Página 13
... variable plane ..... 5. Consequences , ... , ellipsoidal frustrum , .. ellipsoid , sphere , boloid .. 6. Similar solids , how related .. 7. Exercises ..... 255 255 256 Para- .... 257 258 259 BOOK SECOND . SPHERICAL GEOMETRY . SECTION I ...
... variable plane ..... 5. Consequences , ... , ellipsoidal frustrum , .. ellipsoid , sphere , boloid .. 6. Similar solids , how related .. 7. Exercises ..... 255 255 256 Para- .... 257 258 259 BOOK SECOND . SPHERICAL GEOMETRY . SECTION I ...
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Otras ediciones - Ver todas
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Sin vista previa disponible - 2016 |
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Sin vista previa disponible - 2016 |
Términos y frases comunes
A₁ abscissa algebraical altitude base becomes BINOMIAL THEOREM bisects C₁ centre chains chord circle circumference coefficients constant continuous function cosb cosc cosine cota cotb curve D₂ denominator denote derivative determine diameter difference diminished distance divided draw drawn ellipse embraced equal equation exponent fraction function geometry given greater horizontal hyperbola hypothenuse increment intersect logarithm measured minus multiplied observe operation opposite parabola parallel parallelogram perpendicular plane polygon polynomial problem proportional PROPOSITION quantities quotient radii radius ratio rectangle right angled triangle Scholium secant line segments sides sinb sine sinx square straight line subtangent subtracting tana tanb tangent theorem variable vertical whence y₁
Pasajes populares
Página 11 - If two triangles have two sides of the one equal to two sides of the...
Página 256 - ... greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to...
Página 62 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 187 - As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; so is the given side to the required side.
Página 37 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 75 - ... by four times the square of the line joining the middle points of the diagonals.
Página 296 - N. by E. NNE NE by N. NE NE by E. ENE E. by N. East E. by S. ESE SE by E. SE SE by S.
Página 169 - The sum of the sines of two arcs is to their difference, as the tangent of half the sum of those arcs is to the tangent of half their difference.
Página 256 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Página 72 - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles shall be equiangular, and have those angles equal which subtend the homologous sides.