Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Σελίδα 55
... similar inscribed triangle.- Sheffield S. S. 44. The radius of a circle is 13 inches . Through a point 5 inches from ... triangles ACE and BCD similar . - Yale . 46. Prove that the diagonal of a square is incommensur- able with its side ...
... similar inscribed triangle.- Sheffield S. S. 44. The radius of a circle is 13 inches . Through a point 5 inches from ... triangles ACE and BCD similar . - Yale . 46. Prove that the diagonal of a square is incommensur- able with its side ...
Σελίδα 56
... similar triangles are respec- tively 12.34 and 18.14 metres . The altitude of the first is 6.12 metres ; find the altitude of the second . ( Use loga- rithms . ) - Yale . 57. If A B and C D are equal chords of a circle and in- tersect ...
... similar triangles are respec- tively 12.34 and 18.14 metres . The altitude of the first is 6.12 metres ; find the altitude of the second . ( Use loga- rithms . ) - Yale . 57. If A B and C D are equal chords of a circle and in- tersect ...
Σελίδα 58
... triangles thus formed , those having the same base are equivalent.— U. of Cal . 73. In a triangle A B C , let O be the point in which the medians ( lines drawn from the ... triangles are similar . The base 58 GEOMETRY - NUMERICAL PROBLEMS .
... triangles thus formed , those having the same base are equivalent.— U. of Cal . 73. In a triangle A B C , let O be the point in which the medians ( lines drawn from the ... triangles are similar . The base 58 GEOMETRY - NUMERICAL PROBLEMS .
Σελίδα 59
With Metric and Logarithmic Tables Joe Garner Estill. 77. Two mutually equiangular triangles are similar . The base of a triangle is 32 feet , its altitude 20 feet . What is the area of the triangle cut off by drawing a line parallel to ...
With Metric and Logarithmic Tables Joe Garner Estill. 77. Two mutually equiangular triangles are similar . The base of a triangle is 32 feet , its altitude 20 feet . What is the area of the triangle cut off by drawing a line parallel to ...
Σελίδα 66
... 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 three times as great as that of a square described upon half of one ...
... 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 three times as great as that of a square described upon half of one ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
acres adjacent sides altitude apothem arc intercepted arc subtended bisect bisector centilitre centimetre centre chord circum circumscribed cologarithm construct a triangle cubic cubic centimetre decagon decimetre diagonals diameter divided dodecagon equiangular polygon equilateral triangle exterior figure Find the area find the length Find the number Find the radius Find the side GEOMETRY given line given point hektare homologous sides hypotenuse intercepted arcs intercepts an arc interior angles intersect joining the middle June kilometre line joining logarithm mantissa mean proportional METRIC middle points miles millimetres myriametre number of degrees opposite sides parallelogram pentagon perimeter perpendicular PLANE GEOMETRY Prove quadrilateral radii rectangle regular hexagon regular inscribed regular polygon respectively rhombus right angles right triangle scribed secant Show similar triangles square dekametre square feet square hektometre square metre stere straight line TABLE tangent third side trapezoid vertex vertices yards
Δημοφιλή αποσπάσματα
Σελίδα 80 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 101 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 69 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 79 - 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 93 - 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 101 - 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 74 - The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides.
Σελίδα 101 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 68 - 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 74 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...