Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 Seiten |
Im Buch
Ergebnisse 1-5 von 74
Seite 55
... DIAMETER of a circle is any straight line drawn through the center , and terminating in both directions in the circumference ; as the line A B. All the radii of a circle are equal ; all the diameters are also equal , and each is double ...
... DIAMETER of a circle is any straight line drawn through the center , and terminating in both directions in the circumference ; as the line A B. All the radii of a circle are equal ; all the diameters are also equal , and each is double ...
Seite 57
... diameter divides the circle and its circum- ference each into two equal parts . Let AEBF be a circle , and AB a diameter ; then the two parts AEB , AFB are equal . A F E B For , if the figure A E B be applied to AFB , their common base ...
... diameter divides the circle and its circum- ference each into two equal parts . Let AEBF be a circle , and AB a diameter ; then the two parts AEB , AFB are equal . A F E B For , if the figure A E B be applied to AFB , their common base ...
Seite 58
... diameter , is a semi - circumference , and the included seg- ment is a semicircle . PROPOSITION II . THEOREM . - 172 ... diameters AB , EF are equal 58 ELEMENTS OF GEOMETRY .
... diameter , is a semi - circumference , and the included seg- ment is a semicircle . PROPOSITION II . THEOREM . - 172 ... diameters AB , EF are equal 58 ELEMENTS OF GEOMETRY .
Seite 59
With Practical Applications to Mensuration Benjamin Greenleaf. For , since the diameters AB , EF are equal , the semicircle A ADB may be applied to the semicircle EGF ; D BE G F and the curve line ADB will coincide with the curve line ...
With Practical Applications to Mensuration Benjamin Greenleaf. For , since the diameters AB , EF are equal , the semicircle A ADB may be applied to the semicircle EGF ; D BE G F and the curve line ADB will coincide with the curve line ...
Seite 66
... them is a semi - circumference . 188. Cor . Two parallel tangents meet the circumfer- ence at the extremities of the same diameter . PROPOSITION XIII . THEOREM . - 189. If two circumferences 66 ELEMENTS OF GEOMETRY .
... them is a semi - circumference . 188. Cor . Two parallel tangents meet the circumfer- ence at the extremities of the same diameter . PROPOSITION XIII . THEOREM . - 189. If two circumferences 66 ELEMENTS OF GEOMETRY .
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 120 - At a point in a given straight line to make an angle equal to a given angle.
Seite 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.
Seite 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.