Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
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Página 83
... construct an angle equal to a given angle . Let A be the given point , AB the given line , and IKL the given angle . From the vertex K as a centre , with any radius KI , describe the arc IL , terminat- ing in the sides of the angle ...
... construct an angle equal to a given angle . Let A be the given point , AB the given line , and IKL the given angle . From the vertex K as a centre , with any radius KI , describe the arc IL , terminat- ing in the sides of the angle ...
Página 85
... construct the third angle . Let A and B be given angles of a triangle . Draw a line DF , and at some point of it , as E , construct the an- gle FEII equal to A , and HEC equal to B. Then , will CED be D equal to the required angle . H ...
... construct the third angle . Let A and B be given angles of a triangle . Draw a line DF , and at some point of it , as E , construct the an- gle FEII equal to A , and HEC equal to B. Then , will CED be D equal to the required angle . H ...
Página 86
... construct the triangle . Let B and C denote the given sides , and A the given . angle . Draw the indefinite line DF , and at D construct an angle FDE , equal to the angle A ; on DF , lay off DH equal to the side C , and on DE , lay off ...
... construct the triangle . Let B and C denote the given sides , and A the given . angle . Draw the indefinite line DF , and at D construct an angle FDE , equal to the angle A ; on DF , lay off DH equal to the side C , and on DE , lay off ...
Página 87
... construct the triangle . Let A and B be the given sides , and C the given angle . Draw an indefinite line DG , and at some point of it , as D , construct an angle GDE equal to the given angle ; on one side of this angle lay off the ...
... construct the triangle . Let A and B be the given sides , and C the given angle . Draw an indefinite line DG , and at some point of it , as D , construct an angle GDE equal to the given angle ; on one side of this angle lay off the ...
Página 88
... construct the parallelogram . Let A and B be the given sides , and C the given angle . Draw the line DH , and at some point as D , construct the angle HDF equal to the angle C. Lay off DE equal to the side A , and DF equal to the side B ...
... construct the parallelogram . Let A and B be the given sides , and C the given angle . Draw the line DH , and at some point as D , construct the angle HDF equal to the angle C. Lay off DE equal to the side A , and DF equal to the side B ...
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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.