Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 páginas |
Dentro del libro
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Página 8
... difference in the direc- tion of two lines , which meet at a point ; as the angle A. A -B The point of meeting , A , is the vertex of the angle , and the lines A B , AC are the sides of the angle . An angle may be designated , not A D ...
... difference in the direc- tion of two lines , which meet at a point ; as the angle A. A -B The point of meeting , A , is the vertex of the angle , and the lines A B , AC are the sides of the angle . An angle may be designated , not A D ...
Página 21
... difference between A B and CB less than AC ; that is , the difference between any two sides of a triangle is less than the other side . PROPOSITION X. - THEOREM . 64. The greater side of any triangle is opposite the greater angle . In ...
... difference between A B and CB less than AC ; that is , the difference between any two sides of a triangle is less than the other side . PROPOSITION X. - THEOREM . 64. The greater side of any triangle is opposite the greater angle . In ...
Página 47
... difference of the first antecedent and consequent is to the first antecedent , or consequent , as the difference of the second antecedent and consequent is to the second ante- cedent , or consequent . Thus , let A : B :: C : D ; then ...
... difference of the first antecedent and consequent is to the first antecedent , or consequent , as the difference of the second antecedent and consequent is to the second ante- cedent , or consequent . Thus , let A : B :: C : D ; then ...
Página 52
... difference as the sum of the third and fourth is to their difference . Let A B C D ; then will : A + B : A - B :: C + D : CD . For , from the given proportion , by Prop . VII . , we have A + BA :: C + D : C ; and from the given ...
... difference as the sum of the third and fourth is to their difference . Let A B C D ; then will : A + B : A - B :: C + D : CD . For , from the given proportion , by Prop . VII . , we have A + BA :: C + D : C ; and from the given ...
Página 68
... difference of their radii . PROPOSITION XIV . - THEOREM . 192. If two circumferences cut each other , the straight line passing through their centers will bisect at right an- gles the chord which joins the points of intersection . Let ...
... difference of their radii . PROPOSITION XIV . - THEOREM . 192. If two circumferences cut each other , the straight line passing through their centers will bisect at right an- gles the chord which joins the points of intersection . Let ...
Otras ediciones - Ver todas
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Vista completa - 1874 |
Elements of Geometry: With Practical Application to Mensuration Benjamin Greenleaf Vista completa - 1869 |
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Vista completa - 1872 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 120 - At a point in a given straight line to make an angle equal to a given angle.
Página 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.
Página 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Página 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.
Página 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.
Página 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.
Página 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.
Página 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.