Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 18
... homologous sides of two similar A are 5 feet 3 inches and 4 feet 5 inches , respectively . If the al- titude to the given side of the first is 3 feet 9 inches , find the homologous altitude in the second . 11. The sides of a are 4m 6dm ...
... homologous sides of two similar A are 5 feet 3 inches and 4 feet 5 inches , respectively . If the al- titude to the given side of the first is 3 feet 9 inches , find the homologous altitude in the second . 11. The sides of a are 4m 6dm ...
Σελίδα 19
... side of the first is 15 yards 4 feet 2.4 inches ; find the homologous side of the sec- ond . ( Log . ) 14. The sides of two A are , respectively , 4Km , 9Km , 11Km , and 1.2 miles , 2.7 miles , 3.3 miles . Show by your work any relation ...
... side of the first is 15 yards 4 feet 2.4 inches ; find the homologous side of the sec- ond . ( Log . ) 14. The sides of two A are , respectively , 4Km , 9Km , 11Km , and 1.2 miles , 2.7 miles , 3.3 miles . Show by your work any relation ...
Σελίδα 30
... side of a square equivalent in area to a rectangle whose base is 4 feet 6 ... side of a square whose area is 18 square yards 7 square feet . 22. Find the area ... homologous base is 14cm ? ( Log . ) 24. Find the area of an equilateral ...
... side of a square equivalent in area to a rectangle whose base is 4 feet 6 ... side of a square whose area is 18 square yards 7 square feet . 22. Find the area ... homologous base is 14cm ? ( Log . ) 24. Find the area of an equilateral ...
Σελίδα 34
... sides of an equivalent rectangle whose base is 4 times its altitude . 37. The area of a △ is 1129m , its base is 14m ; find the area of a similar whose homologous base is 8m . 38. Find the dimensions of a rectangle whose perimeter is 8 ...
... sides of an equivalent rectangle whose base is 4 times its altitude . 37. The area of a △ is 1129m , its base is 14m ; find the area of a similar whose homologous base is 8m . 38. Find the dimensions of a rectangle whose perimeter is 8 ...
Σελίδα 35
... sides . 49. The side of a rhombus is 39 " , and its area is 540ca ; find its diagonals . 50. The area of a trapezoid ... homologous sides of two similar polygons are 21Hm and 35m ; the area of the greater polygon is 525 ; what is the ...
... sides . 49. The side of a rhombus is 39 " , and its area is 540ca ; find its diagonals . 50. The area of a trapezoid ... homologous sides of two similar polygons are 21Hm and 35m ; the area of the greater polygon is 525 ; what is 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.