Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Σελίδα 24
... sides of a , inscribed in a whose radius is 15 inches , are 9 inches and 25 inches ; find the perpen- dicular to the third side from the opposite vertex . 35. Find the greater segments of a line of 36cm when it is divided internally and ...
... sides of a , inscribed in a whose radius is 15 inches , are 9 inches and 25 inches ; find the perpen- dicular to the third side from the opposite vertex . 35. Find the greater segments of a line of 36cm when it is divided internally and ...
Σελίδα 25
... side ; find the distance across from first base to third . 45. The projections of the legs of a right upon the hypotenuse are 8cm and 9dm ; find the shorter leg . 46. In a whose radius is 41 feet are two parallel chords , one 80 feet ...
... side ; find the distance across from first base to third . 45. The projections of the legs of a right upon the hypotenuse are 8cm and 9dm ; find the shorter leg . 46. In a whose radius is 41 feet are two parallel chords , one 80 feet ...
Σελίδα 26
... side , and to one 82.5 feet high on the other side . ( Log . ) 54. Find the diameter of a ○ in which the chord of ... third side of the A. 62. The common chord of two intersecting whose radii are 26 GEOMETRY - NUMERICAL PROBLEMS .
... side , and to one 82.5 feet high on the other side . ( Log . ) 54. Find the diameter of a ○ in which the chord of ... third side of the A. 62. The common chord of two intersecting whose radii are 26 GEOMETRY - NUMERICAL PROBLEMS .
Σελίδα 28
... side is 11Km ; find the length of the third side in miles . 78. In the preceding problem , find the lengths of the projections of the median and the second and third side upon the first side . 79. Find the lengths of the projections of each ...
... side is 11Km ; find the length of the third side in miles . 78. In the preceding problem , find the lengths of the projections of the median and the second and third side upon the first side . 79. Find the lengths of the projections of each ...
Σελίδα 51
... sides of a trapezoid ABCD , whose diagonals intersect at E. If F is the middle point of BC , prove that EF produced bisects A ... third of a right angle , the opposite side is one - half the hypotenuse . - U . of Cal . 14. Prove that the ...
... sides of a trapezoid ABCD , whose diagonals intersect at E. If F is the middle point of BC , prove that EF produced bisects A ... third of a right angle , the opposite side is one - half the hypotenuse . - U . of Cal . 14. Prove that the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
15 feet acres adjacent sides altitude angle is equal apothem arc intercepted arc subtended bisect bisector centre chord circum circumscribed cologarithm COMMON LOGARITHMS 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 homologous sides hypotenuse intercepted arcs interior angles intersect isosceles triangle joining the middle June legs line joining LOGARITHMS OF NUMBERS mantissa mean proportional metres middle points miles opposite sides parallelogram perimeter perpendicular PLANE GEOMETRY 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 terior third side trapezoid triangle A B C triangle is equal vertex vertices yards
Δημοφιλή αποσπάσματα
Σελίδα 77 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 98 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 76 - 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 90 - 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 98 - 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 62 - 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 65 - 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 71 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 85 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Σελίδα 48 - The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles.