Numerical Problems in Plane Geometry with Metric and Logarithmic TablesLongmans, Green and Company, 1897 - 144 σελίδες |
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Σελίδα 11
... secant parallel to a tangent subtends an arc of 117 ° 41 ′ ; find the arcs intercepted by the secant and the tangent . 9. One of the arcs intercepted by a diameter and a parallel secant is 37 ° 30 ' ; find the length , in miles , of the ...
... secant parallel to a tangent subtends an arc of 117 ° 41 ′ ; find the arcs intercepted by the secant and the tangent . 9. One of the arcs intercepted by a diameter and a parallel secant is 37 ° 30 ' ; find the length , in miles , of the ...
Σελίδα 12
Joe Garner Estill. arc subtended by this secant , if a degree of the circum- ference is 24Km . ( Log . ) 10. The line joining the centres of two , tangent to each other ... secant and a tangent when 12 GEOMETRY - NUMERICAL PROBLEMS .
Joe Garner Estill. arc subtended by this secant , if a degree of the circum- ference is 24Km . ( Log . ) 10. The line joining the centres of two , tangent to each other ... secant and a tangent when 12 GEOMETRY - NUMERICAL PROBLEMS .
Σελίδα 13
Joe Garner Estill. 20. Find the between a secant and a tangent when their intercepted arcs are respectively and of the cir- cumference . 21. The between two secants , intersecting without the circumference , is 58 ° 41 ' , one of the ...
Joe Garner Estill. 20. Find the between a secant and a tangent when their intercepted arcs are respectively and of the cir- cumference . 21. The between two secants , intersecting without the circumference , is 58 ° 41 ' , one of the ...
Σελίδα 15
... secant is 8 ° 11 ' , the smaller of the intercepted arcs is 56 ° 50 ′ 40 ′′ ; find the larger . 41. In a certain a central of 78 ° 45 ′ intercepts an arc of 168 miles ; how long will it take a train moving 24 miles per hour to cover the ...
... secant is 8 ° 11 ' , the smaller of the intercepted arcs is 56 ° 50 ′ 40 ′′ ; find the larger . 41. In a certain a central of 78 ° 45 ′ intercepts an arc of 168 miles ; how long will it take a train moving 24 miles per hour to cover the ...
Σελίδα 24
... secant from a given point without a and its external segment are 2 feet 4 inches and 7 inches , respec- tively ; find the length of the tangent to the O from the same point . 33. The greatest distance of a chord of 11 feet from its arc ...
... secant from a given point without a and its external segment are 2 feet 4 inches and 7 inches , respec- tively ; find the length of the tangent to the O from the same point . 33. The greatest distance of a chord of 11 feet from its arc ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
acres adjacent sides ALGEBRA 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 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 non-parallel sides 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 equivalent square feet straight line tangent Tech terior third side trapezoid triangle is equal University vertex vertices yards
Δημοφιλή αποσπάσματα
Σελίδα 102 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 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.
Σελίδα 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'.
Σελίδα 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.
Σελίδα 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.
Σελίδα 66 - OA will be 13 inches. 3. Prove that an angle formed by a tangent and a chord drawn through its point of contact is the supplement of any angle inscribed in the segment cut off by the chord. What is the locus of the centre of a circumference of given radius which cuts at right angles a given circumference? 4. Show that the areas of similar triangles are to each other as the squares of the homologous sides. 5. Prove that the square described upon the altitude of an equilateral triangle has an area...
Σελίδα 69 - Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Σελίδα 75 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 89 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Σελίδα 104 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.