Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 Seiten |
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Seite 4
... contained in the last four Books of this Geometry , has been published , for Teachers mly ; and the same will be mailed , post - paid , to the address of any Teacher who will forward sixty cents in stamps to the Publishers . CONTENTS ...
... contained in the last four Books of this Geometry , has been published , for Teachers mly ; and the same will be mailed , post - paid , to the address of any Teacher who will forward sixty cents in stamps to the Publishers . CONTENTS ...
Seite 28
... contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let ABC , DEF be two triangles , the side AB equal to DE , and AC equal to DF , and A D the side CB ...
... contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let ABC , DEF be two triangles , the side AB equal to DE , and AC equal to DF , and A D the side CB ...
Seite 44
... contained a certain number of times in the preceding one . Then this last remainder will be the common measure of the proposed lines ; and , regarding it as unity , we shall easily find the values of the preceding remainders ; and , at ...
... contained a certain number of times in the preceding one . Then this last remainder will be the common measure of the proposed lines ; and , regarding it as unity , we shall easily find the values of the preceding remainders ; and , at ...
Seite 45
... contained in their respective multiples the same number of times . Thus 4 and 5 are like submultiples of 8 and 10 ; 8 and 10 are like multiples of 4 and 5 . 121. COMMENSURABLE magnitudes are magnitudes of the same kind , which have a ...
... contained in their respective multiples the same number of times . Thus 4 and 5 are like submultiples of 8 and 10 ; 8 and 10 are like multiples of 4 and 5 . 121. COMMENSURABLE magnitudes are magnitudes of the same kind , which have a ...
Seite 76
... contain the same unit of measure an equal number of times . 210. SIMILAR FIGURES are such as have the angles of the one equal to those of the other , each to each , and the sides containing the equal angles proportional . 211 ...
... contain the same unit of measure an equal number of times . 210. SIMILAR FIGURES are such as have the angles of the one equal to those of the other , each to each , and the sides containing the equal angles proportional . 211 ...
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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.