Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 12
... circumference of the O. ( Log . ) 12. How many degrees in an inscribed in of a cir- cumference ? 13. Find the length of the arc intercepted by an in- scribed of 20 ° 22 ' in a O whose circumference is of a mile . ( Log . ) 14. How many ...
... circumference of the O. ( Log . ) 12. How many degrees in an inscribed in of a cir- cumference ? 13. Find the length of the arc intercepted by an in- scribed of 20 ° 22 ' in a O whose circumference is of a mile . ( Log . ) 14. How many ...
Page 13
... circumference , is 58 ° 41 ' , one of the intercepted arcs is 230 ° ; find the other . 22. Find the between two tangents when the inter- cepted arcs are in the ratio 7 : 2 . FIG . 2 . W- H FIG . 3 . M 23. If , in Fig . 2 , the A B C ...
... circumference , is 58 ° 41 ' , one of the intercepted arcs is 230 ° ; find the other . 22. Find the between two tangents when the inter- cepted arcs are in the ratio 7 : 2 . FIG . 2 . W- H FIG . 3 . M 23. If , in Fig . 2 , the A B C ...
Page 14
... . The between two chords , one of which is a dia- meter , is ; find the arc subtended by the less chord . 39. Find the circumference , in metres , of a in which a central of 11 ° 15 ′ intercepts an arc 14 GEOMETRY - NUMERICAL PROBLEMS .
... . The between two chords , one of which is a dia- meter , is ; find the arc subtended by the less chord . 39. Find the circumference , in metres , of a in which a central of 11 ° 15 ′ intercepts an arc 14 GEOMETRY - NUMERICAL PROBLEMS .
Page 15
... circumference , respectively ; find the 43. One of an inscribed is 35 ° , subtends an arc of 113 ° ; find the other and of of the △ . one of its sides of the A. arcs of 100 ° and and the made by the non- 44. The bases of a trapezoid ...
... circumference , respectively ; find the 43. One of an inscribed is 35 ° , subtends an arc of 113 ° ; find the other and of of the △ . one of its sides of the A. arcs of 100 ° and and the made by the non- 44. The bases of a trapezoid ...
Page 16
... circumference of a O in which a train go- ing 60 miles an hour goes over an arc of 1 ° 35 ′ in 17 seconds . ( Log . ) 56. Two arcs subtended by two adjacent sides of an in- scribed quadrilateral are 127 ° and 68 ° 30 ′ , and the be ...
... circumference of a O in which a train go- ing 60 miles an hour goes over an arc of 1 ° 35 ′ in 17 seconds . ( Log . ) 56. Two arcs subtended by two adjacent sides of an in- scribed quadrilateral are 127 ° and 68 ° 30 ′ , and the be ...
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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...