Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |
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Page 4
... sides of a equal to the A A B C. 38. One side of a is 1m 5dm , another 7 feet 5 inches . What is the greatest value the third side can have ( 1 ) in metric units , ( 2 ) in English units ? What is the least ? * a , b , c , represent the ...
... sides of a equal to the A A B C. 38. One side of a is 1m 5dm , another 7 feet 5 inches . What is the greatest value the third side can have ( 1 ) in metric units , ( 2 ) in English units ? What is the least ? * a , b , c , represent the ...
Page 7
... side of the from the other side , where does it lie ? Show the reason for your answer by your work . 60. The at the vertex of an isosceles is one - third the exterior angle at the vertex , how many degrees in each Z , exterior and ...
... side of the from the other side , where does it lie ? Show the reason for your answer by your work . 60. The at the vertex of an isosceles is one - third the exterior angle at the vertex , how many degrees in each Z , exterior and ...
Page 8
... sides of a A is 2.5 miles , what is the length of the third side in kilo- metres ? 79. How many sides has the polygon the sum of whose interior exceeds the sum of its exterior by 3240 ° ? 80. One of the diagonals of a rectangle is 40 ...
... sides of a A is 2.5 miles , what is the length of the third side in kilo- metres ? 79. How many sides has the polygon the sum of whose interior exceeds the sum of its exterior by 3240 ° ? 80. One of the diagonals of a rectangle is 40 ...
Page 22
... third side made by the bisector . ) Transposing in ( 1 ) , ( 2 ) x2 = a c - A DxD C. But C D DA = . a ( The bisector of an of a △ divides the opposite side into segments proportional to the adjacent sides . ) By composition DC + AD a + ...
... third side made by the bisector . ) Transposing in ( 1 ) , ( 2 ) x2 = a c - A DxD C. But C D DA = . a ( The bisector of an of a △ divides the opposite side into segments proportional to the adjacent sides . ) By composition DC + AD a + ...
Page 23
... 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 △ to the middle point ...
... 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 △ to the middle point ...
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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...