Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 11
... chords which subtend , two arcs which are respectively 28 yards and 25 ? 5. In a given O , the chord A B is 5 yards 2 feet , the chord C G is 4.9m . Compare the arcs A B and C D , and the distances of the chords from the centre . 6 ...
... chords which subtend , two arcs which are respectively 28 yards and 25 ? 5. In a given O , the chord A B is 5 yards 2 feet , the chord C G is 4.9m . Compare the arcs A B and C D , and the distances of the chords from the centre . 6 ...
Page 12
... chord is ; how many degrees in the intercepted arc ? 16. Find the length of the arc intercepted by a central of 12 ... chord intercepting an arc of of a semi - circumference ? 19. The between two chords intersecting within the ...
... chord is ; how many degrees in the intercepted arc ? 16. Find the length of the arc intercepted by a central of 12 ... chord intercepting an arc of of a semi - circumference ? 19. The between two chords intersecting within the ...
Page 14
... 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 .
... 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 23
... chord A B , which is 4.2m long , divides the chord C D into segments which are 1.4 " and 2.1 " , respectively . Find the segments of A B made by C D. 28. The sides of a are 25 yards , 30 yards , 35 yards . Find the length of the median ...
... chord A B , which is 4.2m long , divides the chord C D into segments which are 1.4 " and 2.1 " , respectively . Find the segments of A B made by C D. 28. The sides of a are 25 yards , 30 yards , 35 yards . Find the length of the median ...
Page 24
... chord of 11 feet from its arc is 6 inches ; find the diameter of the O. 34. Two sides of a △ , inscribed in a whose ... chords A B and C D intersect at E ; A E = 15dm , B E = 46am , C D = 115dm ; find C E and D E. 40. Find the distance ...
... chord of 11 feet from its arc is 6 inches ; find the diameter of the O. 34. Two sides of a △ , inscribed in a whose ... chords A B and C D intersect at E ; A E = 15dm , B E = 46am , C D = 115dm ; find C E and D E. 40. Find the distance ...
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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...