Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 12
... radius of the less is 3m 8dm 5cm , find the radius of the greater . 11. If a central of 25 ° 15 ' intercepts an arc of 15 feet 10 inches , find the length of the semi - circumference of the O. ( Log . ) 12. How many degrees in an ...
... radius of the less is 3m 8dm 5cm , find the radius of the greater . 11. If a central of 25 ° 15 ' intercepts an arc of 15 feet 10 inches , find the length of the semi - circumference of the O. ( Log . ) 12. How many degrees in an ...
Page 14
... find the number of degrees in K P. 30. The arc R P T is 10 ° less than two - thirds of a cir- cumference , the Q M T ... radius is 55cm , is 120 ° ; how many inches in the chord joining the points of tangency ? 35. The centres of two which ...
... find the number of degrees in K P. 30. The arc R P T is 10 ° less than two - thirds of a cir- cumference , the Q M T ... radius is 55cm , is 120 ° ; how many inches in the chord joining the points of tangency ? 35. The centres of two which ...
Page 16
... radius . 49. Find the of an isosceles , if the arc subtended by one of the equal sides is 33 ° more than 1.6 times the arc subtended by the base . 50. Anformed by a diagonal and a base of an in- scribed trapezoid is 20 ° 30 ' ; find the ...
... radius . 49. Find the of an isosceles , if the arc subtended by one of the equal sides is 33 ° more than 1.6 times the arc subtended by the base . 50. Anformed by a diagonal and a base of an in- scribed trapezoid is 20 ° 30 ' ; find the ...
Page 17
... find the entire length of this orbit , remembering that it takes 365 days 6 ... radius , 3,963 miles , is equal to the length of an arc of 57 ′ of the ... find C A ' and A ' A. 2. If , in the same figure , C A ' = 10 feet , A ' A = 12 ...
... find the entire length of this orbit , remembering that it takes 365 days 6 ... radius , 3,963 miles , is equal to the length of an arc of 57 ′ of the ... find C A ' and A ' A. 2. If , in the same figure , C A ' = 10 feet , A ' A = 12 ...
Page 20
... radius is 1 foot 6 inches , from a given point without the circumference , is 2 feet ; find the distance from the point to the centre . the 23. In the △ A B C , a = 14 " , b = 17 " , c = Cacute , right , or obtuse ? 22m ; is 24. To find ...
... radius is 1 foot 6 inches , from a given point without the circumference , is 2 feet ; find the distance from the point to the centre . the 23. In the △ A B C , a = 14 " , b = 17 " , c = Cacute , right , or obtuse ? 22m ; is 24. To find ...
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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...