Elements of Geometry and TrigonometryBarnes & Burr, 1863 - 455 σελίδες |
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Σελίδα iv
... corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in the practical tests to which the work has been sub- jected . The In ...
... corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in the practical tests to which the work has been sub- jected . The In ...
Σελίδα 46
... corresponding exterior angle , is equal A E D Ce 18 B to two right angles ( P. I. ) : hence , the sum of all the inte rior and exterior angles is equal to two right angles taken as many times as the polygon has sides . But 46 GEOMETRY .
... corresponding exterior angle , is equal A E D Ce 18 B to two right angles ( P. I. ) : hence , the sum of all the inte rior and exterior angles is equal to two right angles taken as many times as the polygon has sides . But 46 GEOMETRY .
Σελίδα 49
... corresponding sides of the other ; they are , therefore , equal : hence , the angles AEB , BEC , are equal , and therefore , the two diagonals bisect each other at right angles . BOOK II . RATIOS AND PROPORTIONS . DEFINITIONS . 1. 4 ...
... corresponding sides of the other ; they are , therefore , equal : hence , the angles AEB , BEC , are equal , and therefore , the two diagonals bisect each other at right angles . BOOK II . RATIOS AND PROPORTIONS . DEFINITIONS . 1. 4 ...
Σελίδα 57
... corresponding consequent . From the definition of a continued proportion ( D. 3 ) , A : B :: C : D :: E : F :: G : H , & c . , hence , B B whence , BA = AB ; Α A B D whence , BC AD ; A B 11 A 72 F whence , BE = AF ; E B H ; whence , BG ...
... corresponding consequent . From the definition of a continued proportion ( D. 3 ) , A : B :: C : D :: E : F :: G : H , & c . , hence , B B whence , BA = AB ; Α A B D whence , BC AD ; A B 11 A 72 F whence , BE = AF ; E B H ; whence , BG ...
Σελίδα 58
... corresponding terms of two proportions are equal , each term of the resulting proportion will be the square of the corresponding term in either of the given pro- portions : hence , If four quantities are proportional , their squares ...
... corresponding terms of two proportions are equal , each term of the resulting proportion will be the square of the corresponding term in either of the given pro- portions : hence , If four quantities are proportional , their squares ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Δημοφιλή αποσπάσματα
Σελίδα 28 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 100 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Σελίδα 59 - A chord is a straight line joining the extremities of an arc.
Σελίδα 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Σελίδα 123 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 182 - The upper end of the frustum of a pyramid or cone is called the upper base...