Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Σελίδα 5
... metres ( approximately ) the sides of a the A B C. ( Log . * ) = 42. One of the acute of a right A = 37 ° and the hy- potenuse is 1.5 miles , how many kilometres in the hypo- tenuse of an equal right which has an acute of 37 ° ? 43. In ...
... metres ( approximately ) the sides of a the A B C. ( Log . * ) = 42. One of the acute of a right A = 37 ° and the hy- potenuse is 1.5 miles , how many kilometres in the hypo- tenuse of an equal right which has an acute of 37 ° ? 43. In ...
Σελίδα 6
... metres in the side b ? ( Log . ) 48. If one of the made by a line cutting two || lines is 3 ° more than , how many degrees in each of the other ? ( Mark your answers on a figure . ) 49. What answer to 48 if one of the is eight times its ...
... metres in the side b ? ( Log . ) 48. If one of the made by a line cutting two || lines is 3 ° more than , how many degrees in each of the other ? ( Mark your answers on a figure . ) 49. What answer to 48 if one of the is eight times its ...
Σελίδα 7
... metres ? 62. Two adjacent sides of a are 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 ...
... metres ? 62. Two adjacent sides of a are 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 ...
Σελίδα 8
... metres ? 79. How many sides has the polygon the sum of whose interior exceeds the sum of its exterior by 3240 ° ? 80. One of the diagonals of a rectangle is 40 yards 2 feet 10 inches ; find the length of the other in metres . ( Log ...
... metres ? 79. How many sides has the polygon the sum of whose interior exceeds the sum of its exterior by 3240 ° ? 80. One of the diagonals of a rectangle is 40 yards 2 feet 10 inches ; find the length of the other in metres . ( Log ...
Σελίδα 9
... metres of the line which bisects one side of a and is parallel to a side whose length is 9 feet 10.11 inches . Km 86. If you should join the extremities of two parallel lines whose lengths are 7 and 4.375 miles respectively , what kind ...
... metres of the line which bisects one side of a and is parallel to a side whose length is 9 feet 10.11 inches . Km 86. If you should join the extremities of two parallel lines whose lengths are 7 and 4.375 miles respectively , what kind ...
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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.