Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 5
... metres ( approximately ) the sides of a = the AB 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 AB 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 ...
Page 6
Joe Garner Estill. and a 109 yards 1 foot 1 inch , how many metres in the side b ? ( Log . ) 48. If one of the made by a line cutting two ... metres is P from 2-3 ? 59. The point P within an and 2 feet 2 6 GEOMETRY - NUMERICAL PROBLEMS .
Joe Garner Estill. and a 109 yards 1 foot 1 inch , how many metres in the side b ? ( Log . ) 48. If one of the made by a line cutting two ... metres is P from 2-3 ? 59. The point P within an and 2 feet 2 6 GEOMETRY - NUMERICAL PROBLEMS .
Page 7
... metres ? 62. Two adjacent sides of a are respectively 18m and 21 " ; 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 5.2 . How many acres in the other ? 64. If one ...
... metres ? 62. Two adjacent sides of a are respectively 18m and 21 " ; 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 5.2 . How many acres in the other ? 64. If one ...
Page 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 ...
Page 9
... metres of the line which bisects one side of a A and is parallel to a side whose length is 9 feet 10.11 inches . 86. If you should join the extremities of two parallel lines whose lengths are 7Km and 4.375 miles respectively , what kind ...
... metres of the line which bisects one side of a A and is parallel to a side whose length is 9 feet 10.11 inches . 86. If you should join the extremities of two parallel lines whose lengths are 7Km and 4.375 miles respectively , what kind ...
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Common terms and phrases
acres adjacent sides altitude angle is equal apothem arc intercepted arc subtended bisect bisector centre chord circum circumscribed College cologarithm construct a triangle decagon diagonals divided dodecagon equiangular polygon equilateral triangle escribed exterior extreme and mean feet 6 inches figure Find the area find the length Find the number Find the radius Find the side GEOMETRY given line given point given triangle homologous sides hypotenuse intercepted arcs interior angles intersect isosceles triangle joining the middle June line joining lines drawn logarithm mantissa mean proportional metres middle points miles opposite sides parallel sides parallelogram pentagon perimeter perpendicular PLANE GEOMETRY points of contact problems Prove quadrilateral radii rectangle regular hexagon regular inscribed regular polygon respectively rhombus right angles right triangle scribed secant Show similar triangles square feet straight line tangent Tech terior third side trapezoid triangle is equal University vertex vertices yards
Popular passages
Page 81 - Similar triangles are to each other as the squares of their homologous sides.
Page 102 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 80 - 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.
Page 94 - 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'.
Page 102 - 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.
Page 141 - When the length of the primary unit of this system was determined it was supposed to be one ten-millionth of the distance from the equator to the pole.
Page 102 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 69 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Page 88 - An angle formed by two chords intersecting within the circumference of a circle is measured by one-half the sum of the intercepted arcs.
Page 75 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...