Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 σελίδες |
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Αποτελέσματα 1 - 5 από τα 91.
Σελίδα 4
... problems unaided except by principles . Sufficient Applications of Algebra to Geometry are given to show the relation existing between these two branches of the mathematics . The problems introduced in connection therewith will be found ...
... problems unaided except by principles . Sufficient Applications of Algebra to Geometry are given to show the relation existing between these two branches of the mathematics . The problems introduced in connection therewith will be found ...
Σελίδα 5
... BOOK IV . PROPORTIONS , AREAS , AND SIMILARITY OF FIGURES 76 BOOK V. PROBLEMS RELATING TO THE PRECEDING BOOKS 118 BOOK VI . REGULAR POLYGONS , AND THE AREA OF THE CIRCLE · 149 SOLID GEOMETRY . BOOK VII . PLANES . DIEDRAL AND 1 *
... BOOK IV . PROPORTIONS , AREAS , AND SIMILARITY OF FIGURES 76 BOOK V. PROBLEMS RELATING TO THE PRECEDING BOOKS 118 BOOK VI . REGULAR POLYGONS , AND THE AREA OF THE CIRCLE · 149 SOLID GEOMETRY . BOOK VII . PLANES . DIEDRAL AND 1 *
Σελίδα 14
... problem ; such as , - 1. That a straight line may be drawn from one point to another . 2. That a straight line may be produced to any length . 3. That a straight line may be drawn through a given point parallel to another straight line ...
... problem ; such as , - 1. That a straight line may be drawn from one point to another . 2. That a straight line may be produced to any length . 3. That a straight line may be drawn through a given point parallel to another straight line ...
Σελίδα 101
... important and fertile in results of any in Geometry . They are almost sufficient of themselves for all applications to subsequent reasoning , and for the solution of all problems ; since the general properties of 9 * BOOK IV . 101.
... important and fertile in results of any in Geometry . They are almost sufficient of themselves for all applications to subsequent reasoning , and for the solution of all problems ; since the general properties of 9 * BOOK IV . 101.
Σελίδα 102
With Practical Applications to Mensuration Benjamin Greenleaf. solution of all problems ; since the general properties of triangles include , by implication , those of all figures . PROPOSITION XXIV . - THEOREM . 264. Two triangles ...
With Practical Applications to Mensuration Benjamin Greenleaf. solution of all problems ; since the general properties of triangles include , by implication , those of all figures . PROPOSITION XXIV . - THEOREM . 264. Two triangles ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Πλήρης προβολή - 1874 |
Elements of Geometry: With Practical Application to Mensuration Benjamin Greenleaf Πλήρης προβολή - 1869 |
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Πλήρης προβολή - 1872 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCD adjacent angles altitude angle ACB angle equal arc A B base bisect chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Δημοφιλή αποσπάσματα
Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 120 - At a point in a given straight line to make an angle equal to a given angle.
Σελίδα 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Σελίδα 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Σελίδα 199 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Σελίδα 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Σελίδα 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 2 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Σελίδα 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.