Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 Seiten |
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Seite 185
... PARALLELOPIPEDON is a prism whose bases are parallelograms ; as the prism ABCD - H . The parallelopipedon is rectangular when all its faces are rectangles ; as the parallelopipedon ABCD - H . Ε H G F B E H 441. A CUBE , or REGULAR ...
... PARALLELOPIPEDON is a prism whose bases are parallelograms ; as the prism ABCD - H . The parallelopipedon is rectangular when all its faces are rectangles ; as the parallelopipedon ABCD - H . Ε H G F B E H 441. A CUBE , or REGULAR ...
Seite 189
... parallelopipedon the opposite faces are equal and parallel . Let ABCD - H be a parallelopipedon ; then its oppo- site faces are equal and parallel . The bases ABCD , EFGH are equal and parallel ( Art . 436 ) , and it remains only to be ...
... parallelopipedon the opposite faces are equal and parallel . Let ABCD - H be a parallelopipedon ; then its oppo- site faces are equal and parallel . The bases ABCD , EFGH are equal and parallel ( Art . 436 ) , and it remains only to be ...
Seite 190
... parallelopipedon bisect each other . Let A B CD - H be a parallelo- pipedon ; then its diagonals , as BH , DF , will ... parallelopipedon . PROPOSITION VI . - THEOREM . 464. Any parallelopipedon may 190 ELEMENTS OF GEOMETRY .
... parallelopipedon bisect each other . Let A B CD - H be a parallelo- pipedon ; then its diagonals , as BH , DF , will ... parallelopipedon . PROPOSITION VI . - THEOREM . 464. Any parallelopipedon may 190 ELEMENTS OF GEOMETRY .
Seite 191
With Practical Applications Benjamin Greenleaf. PROPOSITION VI . - THEOREM . 464. Any parallelopipedon may be divided into two equivalent triangular prisms by a plane passing through its opposite diagonal edges . Let any parallelopipedon ...
With Practical Applications Benjamin Greenleaf. PROPOSITION VI . - THEOREM . 464. Any parallelopipedon may be divided into two equivalent triangular prisms by a plane passing through its opposite diagonal edges . Let any parallelopipedon ...
Seite 193
... parallelopipedon AL ; and take away from the same solid A L the prism BFK - L , and there will remain the parallelopipedon AG ; hence the two parallelopipedons A L , A G are equivalent . PROPOSITION VIII . THEOREM . 467. Two ...
... parallelopipedon AL ; and take away from the same solid A L the prism BFK - L , and there will remain the parallelopipedon AG ; hence the two parallelopipedons A L , A G are equivalent . PROPOSITION VIII . THEOREM . 467. Two ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 77 - Two rectangles having equal altitudes are to each other as their bases.
Seite 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.
Seite 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Seite 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.
Seite 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'.
Seite 244 - RULE. — Multiply the base by the altitude, and the product will be the area.