Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 4
... perpendicular from the point to the straight line . 31. What answer to 30 , if the lines are 35 feet and 1Dm , respectively ? 32. If the bisector of one of two supplementary - adjacent makes with their common side an = lacking 5 ° , how ...
... perpendicular from the point to the straight line . 31. What answer to 30 , if the lines are 35 feet and 1Dm , respectively ? 32. If the bisector of one of two supplementary - adjacent makes with their common side an = lacking 5 ° , how ...
Page 19
... perpendicular from the vertex of the right ; and this perpendicular itself . 19. In a whose diameter is 16m , find the length of the Ichord which is 4m from the centre . 20. The sides of a △ are 30 , 40cm , and 45cm ; find the ...
... perpendicular from the vertex of the right ; and this perpendicular itself . 19. In a whose diameter is 16m , find the length of the Ichord which is 4m from the centre . 20. The sides of a △ are 30 , 40cm , and 45cm ; find the ...
Page 23
... perpendicular to the third side from the opposite vertex is 2 feet 3 inches . 30. Find the length of the bisector of the opposite the least side in the whose sides are 24m , 20cm , 11cm ; to the * A median is a line from a vertex of a ...
... perpendicular to the third side from the opposite vertex is 2 feet 3 inches . 30. Find the length of the bisector of the opposite the least side in the whose sides are 24m , 20cm , 11cm ; to the * A median is a line from a vertex of a ...
Page 27
... perpendicular from the vertex of the right to the hypotenuse , and the segments of the hypotenuse made by this perpendicular . 71. Find the product of the segments of any chord passing through a point 8 " from the centre of a whose ...
... perpendicular from the vertex of the right to the hypotenuse , and the segments of the hypotenuse made by this perpendicular . 71. Find the product of the segments of any chord passing through a point 8 " from the centre of a whose ...
Page 38
... perpendicular from the vertex of the right to the hypotenuse divides the hypotenuse into segments of 3914 feet and 11 feet . ( Log . ) 80. Upon the diagonal of a rectangle 6 by 8m a whose area is three times the area of the rectangle is ...
... perpendicular from the vertex of the right to the hypotenuse divides the hypotenuse into segments of 3914 feet and 11 feet . ( Log . ) 80. Upon the diagonal of a rectangle 6 by 8m a whose area is three times the area of the rectangle is ...
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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...