Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Σελίδα 3
... , what can you say of them ? 29. Two lines from a point to the extremities of a straight line are 15 feet 4 inches , and 11 feet 11 inches , respectively . Two similarly drawn are 4m 6d and 3.2 GEOMETRY - NUMERICAL PROBLEMS . 3.
... , what can you say of them ? 29. Two lines from a point to the extremities of a straight line are 15 feet 4 inches , and 11 feet 11 inches , respectively . Two similarly drawn are 4m 6d and 3.2 GEOMETRY - NUMERICAL PROBLEMS . 3.
Σελίδα 4
... respectively ? 32. If the bisector of one of two supplementary - adjacent makes with their common side an = lacking 5 ° , how many degrees in the other ? 33. Of two lines from a point to a straight line , one is 30cm and the other is 11 ...
... respectively ? 32. If the bisector of one of two supplementary - adjacent makes with their common side an = lacking 5 ° , how many degrees in the other ? 33. Of two lines from a point to a straight line , one is 30cm and the other is 11 ...
Σελίδα 6
... respectively ; how many degrees in the B ? 52. In the △ A B C , A lacks 106 ° of being equal to the sum of B and C , and C lacks 10 ° of being equal to the sum of A and B ; find A , B , and C. 53. Find the 54. Find the of a △ which ...
... respectively ; how many degrees in the B ? 52. In the △ A B C , A lacks 106 ° of being equal to the sum of B and C , and C lacks 10 ° of being equal to the sum of A and B ; find A , B , and C. 53. Find the 54. Find the of a △ which ...
Σελίδα 7
... respectively 18m and 21m ; find the lengths of the other two sides in yards . ( Log . ) 63. The area of one of the △ made by the diagonal of a is 5.2a . How many acres in the other ? 64. If one each of the other of a ? - of a 65. If ...
... respectively 18m and 21m ; find the lengths of the other two sides in yards . ( Log . ) 63. The area of one of the △ made by the diagonal of a is 5.2a . How many acres in the other ? 64. If one each of the other of a ? - of a 65. If ...
Σελίδα 8
... respectively . What is the nature of this quadrilateral ? 77. How many sides has the polygon each of whose in- terior 171 ° ? = 78. The line joining the middle points of two sides of a A is 2.5 miles , what is the length of the third ...
... respectively . What is the nature of this quadrilateral ? 77. How many sides has the polygon each of whose in- terior 171 ° ? = 78. The line joining the middle points of two sides of a A is 2.5 miles , what is the length of the third ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
15 feet acres adjacent sides altitude angle is equal apothem arc intercepted arc subtended bisect bisector centre chord circum circumscribed cologarithm COMMON LOGARITHMS construct a triangle decagon diagonals divided dodecagon equiangular polygon equilateral triangle escribed exterior extreme and mean figure Find the area find the length Find the number Find the radius Find the side GEOMETRY given line given point homologous sides hypotenuse intercepted arcs interior angles intersect isosceles triangle joining the middle June legs line joining LOGARITHMS OF NUMBERS mantissa mean proportional metres middle points miles opposite sides parallelogram perimeter perpendicular PLANE GEOMETRY problems Prove quadrilateral radii rectangle regular hexagon regular inscribed regular polygon respectively rhombus right angles right triangle scribed secant Show similar triangles square equivalent square feet straight line tangent terior third side trapezoid triangle A B C triangle is equal vertex vertices yards
Δημοφιλή αποσπάσματα
Σελίδα 77 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 98 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 76 - If four quantities are in proportion, they are in proportion by composition, ie the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Σελίδα 90 - 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'.
Σελίδα 98 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 62 - OA will be 13 inches. 3. Prove that an angle formed by a tangent and a chord drawn through its point of contact is the supplement of any angle inscribed in the segment cut off by the chord. What is the locus of the centre of a circumference of given radius which cuts at right angles a given circumference? 4. Show that the areas of similar triangles are to each other as the squares of the homologous sides. 5. Prove that the square described upon the altitude of an equilateral triangle has an area...
Σελίδα 65 - Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Σελίδα 71 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 85 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Σελίδα 48 - The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles.