Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
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Página v
... Problems relating to the First and Third Books , .. BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book , ..... PAGE . 13 20 50 60 59 82 93 129 BOOK V. Regular Polygons - Measurement of the ...
... Problems relating to the First and Third Books , .. BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book , ..... PAGE . 13 20 50 60 59 82 93 129 BOOK V. Regular Polygons - Measurement of the ...
Página vi
... Problems of Application , ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , Definitions and General Principles ,. Rules for Signs of the Functions ,. 5 7 11 12 ... 13 15 16 17 18-22 22 22 23-27 27-35 36-47 48 51 51-54 51 ...
... Problems of Application , ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , Definitions and General Principles ,. Rules for Signs of the Functions ,. 5 7 11 12 ... 13 15 16 17 18-22 22 22 23-27 27-35 36-47 48 51 51-54 51 ...
Página 11
... PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all called Propositions . 10. A LEMMA is an auxiliary proposition . 11 , A COROLLARY is an ...
... PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all called Propositions . 10. A LEMMA is an auxiliary proposition . 11 , A COROLLARY is an ...
Página 19
... Problem ; Post . for Postulate ; and S. for Scholium . In referring to the same Book , the number of the Book is not given ; in referring to any other Book , the number of the Book is given . PROPOSITION I. THEOREM . If a straight line ...
... Problem ; Post . for Postulate ; and S. for Scholium . In referring to the same Book , the number of the Book is not given ; in referring to any other Book , the number of the Book is given . PROPOSITION I. THEOREM . If a straight line ...
Página 81
... and DC , The angle CAE , which is the difference of DAE and DAC is measured by half the difference of the arcs DCA and DC , or by half the arc CA. 6 PRACTICAL APPLICATIONS . PROBLEM I. To bisect a given straight BOOK III . 81.
... and DC , The angle CAE , which is the difference of DAE and DAC is measured by half the difference of the arcs DCA and DC , or by half the arc CA. 6 PRACTICAL APPLICATIONS . PROBLEM I. To bisect a given straight BOOK III . 81.
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Términos y frases comunes
AB² ABCD AC² adjacent angles altitude apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter difference distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa 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 polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Pasajes populares
Página 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 59 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Página 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 28 - If two triangles have two sides of the one equal to two sides of the...
Página 46 - 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.
Página 99 - The area of a parallelogram is equal to the product of its base and altitude.
Página 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Página 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.