Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 páginas |
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Página 55
... CHORD of an arc is the straight line joining its extremities ; thus EF is the chord of the arc EGF . D A C E G B BE F 158. The SEGMENT of a circle is the part of BOOK III THE CIRCLE, AND THE MEASURE OF ANGLES.
... CHORD of an arc is the straight line joining its extremities ; thus EF is the chord of the arc EGF . D A C E G B BE F 158. The SEGMENT of a circle is the part of BOOK III THE CIRCLE, AND THE MEASURE OF ANGLES.
Página 56
... chord EF . 159. The SECTOR of a circle is the part of a circle included between an D B C E F G arc , and the two ... chords ; as the angle ABC . 165. An INSCRIBED POLYGON is one which has the vertices 56 ELEMENTS OF GEOMETRY .
... chord EF . 159. The SECTOR of a circle is the part of a circle included between an D B C E F G arc , and the two ... chords ; as the angle ABC . 165. An INSCRIBED POLYGON is one which has the vertices 56 ELEMENTS OF GEOMETRY .
Página 58
... chords ; and , conversely , equal chords subtend equal arcs . Let A DB and EGF be two equal circles , and let the arc AD be equal to EG ; then will the chord AD be equal to the chord E G. For , since the diameters AB , EF are equal 58 ...
... chords ; and , conversely , equal chords subtend equal arcs . Let A DB and EGF be two equal circles , and let the arc AD be equal to EG ; then will the chord AD be equal to the chord E G. For , since the diameters AB , EF are equal 58 ...
Página 59
... chord EG ( Art . Conversely , if the chord AD is equal to the chord E G , the arcs A D , E G will be equal . For , if the radii CD , OG are drawn , the triangles ACD , EOG , having the three sides of the one equal to the three sides of ...
... chord EG ( Art . Conversely , if the chord AD is equal to the chord E G , the arcs A D , E G will be equal . For , if the radii CD , OG are drawn , the triangles ACD , EOG , having the three sides of the one equal to the three sides of ...
Página 60
... chord which subtends the greater arc is the greater . B D Conversely , if the chord A B be greater than the chord AD , the arc A B will be greater than the arc AD . For the triangles ACB , ACD have two sides , AC , CB , in the one ...
... chord which subtends the greater arc is the greater . B D Conversely , if the chord A B be greater than the chord AD , the arc A B will be greater than the arc AD . For the triangles ACB , ACD have two sides , AC , CB , in the one ...
Otras ediciones - Ver todas
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Vista completa - 1869 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Vista completa - 1867 |
Términos y frases comunes
A B C ABCD adjacent angles altitude angle equal base bisect centre 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 less Let ABC line A B logarithm logarithmic sine mean proportional 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 sine slant height solidity solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Pasajes populares
Página 35 - 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 57 - 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.
Página 117 - 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.
Página 50 - If any number of magnitudes 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; then will A : B : : A + C + E : B + D + F.
Página 77 - Two rectangles having equal altitudes are to each other as their bases.
Página 158 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Página 314 - 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.
Página 100 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Página 244 - RULE. — Multiply the base by the altitude, and the product will be the area.