Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 11
... centre . 6. What can you say of two chords whose distances from the centre are 13cm and 5 inches respectively ? 7. One of the arcs intercepted by two chords , one of which is a diameter , intersecting at right angles , is 41 ° 18 ′ 4 ...
... centre . 6. What can you say of two chords whose distances from the centre are 13cm and 5 inches respectively ? 7. One of the arcs intercepted by two chords , one of which is a diameter , intersecting at right angles , is 41 ° 18 ′ 4 ...
Page 12
... centres of two , tangent to each other externally , is 14m 7am 3cm , and the 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 ...
... centres of two , tangent to each other externally , is 14m 7am 3cm , and the 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 ...
Page 14
... centres of two which are tangent to each other internally are 5 feet 8 inches apart , the radius of one is 1.1 " ; find the radius of the other . of 17 ° 36. The chord joining the points of tangency of two in- tersecting tangents forms ...
... centres of two which are tangent to each other internally are 5 feet 8 inches apart , the radius of one is 1.1 " ; find the radius of the other . of 17 ° 36. The chord joining the points of tangency of two in- tersecting tangents forms ...
Page 19
... centre . 20. The sides of a △ are 30 , 40cm , and 45cm ; find the projection of the shortest side upon the longest . 21. Is the of 20 acute , right , or obtuse ? Which would it be if the sides were 30cm , 40cm , 55cm ? Find the ...
... centre . 20. The sides of a △ are 30 , 40cm , and 45cm ; find the projection of the shortest side upon the longest . 21. Is the of 20 acute , right , or obtuse ? Which would it be if the sides were 30cm , 40cm , 55cm ? Find the ...
Page 20
... centre . the 23. In the △ A B C , a = 14 " , b = 17 " , c = Cacute , right , or obtuse ? 22m ; is 24. To find the altitude of a △ in terms of its sides . 44 FIG . 6 . FIG . 7 . ( 1 ) h2 = c2 — B D2 . ( The square of either leg of a ...
... centre . the 23. In the △ A B C , a = 14 " , b = 17 " , c = Cacute , right , or obtuse ? 22m ; is 24. To find the altitude of a △ in terms of its sides . 44 FIG . 6 . FIG . 7 . ( 1 ) h2 = c2 — B D2 . ( The square of either leg of a ...
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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...