Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 sider |
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Resultat 1-5 av 100
Side 17
... ( Prop . I. Cor . 1 ) ; and since ACE is a straight line , the angle FCE will also be a right angle ; therefore the angle FCE is equal to the angle FCD ( Art . 34 , Ax . 13 ) , a part to the whole , which is impossible ; hence two ...
... ( Prop . I. Cor . 1 ) ; and since ACE is a straight line , the angle FCE will also be a right angle ; therefore the angle FCE is equal to the angle FCD ( Art . 34 , Ax . 13 ) , a part to the whole , which is impossible ; hence two ...
Side 20
... ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right angles . 58. Cor . 2. Conversely , the line bisecting the base of an isosceles triangle at right angles , bisects also ...
... ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right angles . 58. Cor . 2. Conversely , the line bisecting the base of an isosceles triangle at right angles , bisects also ...
Side 25
... ( Prop . V. ) , and the side AE is equal to the side A C ( Prop . V. Cor . ) . Hence the two oblique lines , meeting the given line at equal distances from the perpendicular , are equal . Thirdly . The point C being in the triangle ADF ...
... ( Prop . V. ) , and the side AE is equal to the side A C ( Prop . V. Cor . ) . Hence the two oblique lines , meeting the given line at equal distances from the perpendicular , are equal . Thirdly . The point C being in the triangle ADF ...
Side 27
... ( Prop . XIV . Cor . 3 ) ; therefore its extremity , F , must fall below the line E G. The two tri- angles , ABC and ... ( Prop . V. Cor . ) . In the triangle DFG , since D G is equal to DF , the angle D F G is equal to the angle DGF ( Prop ...
... ( Prop . XIV . Cor . 3 ) ; therefore its extremity , F , must fall below the line E G. The two tri- angles , ABC and ... ( Prop . V. Cor . ) . In the triangle DFG , since D G is equal to DF , the angle D F G is equal to the angle DGF ( Prop ...
Side 28
... ( Prop . V. Cor . ) , which is contrary to the hypothesis ; neither can it be less , for then the side BC would be less than EF ( Prop . XVI . ) , which also is contrary to the hypothesis ; there- fore the angle A is not less than the ...
... ( Prop . V. Cor . ) , which is contrary to the hypothesis ; neither can it be less , for then the side BC would be less than EF ( Prop . XVI . ) , which also is contrary to the hypothesis ; there- fore the angle A is not less than the ...
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Elements of Geometry and Trigonometry;: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1863 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1869 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 77 - Two rectangles having equal altitudes are to each other as their bases.
Side 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.
Side 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Side 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.
Side 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'.
Side 244 - RULE. — Multiply the base by the altitude, and the product will be the area.