Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Σελίδα 38
... construct- ed ; find the altitude of the A. 81. Find the side of an equilateral △ equivalent to the sum of two equilateral △ whose sides are respectively 5m and 12m . 82. Find the area of a trapezoid whose bases are 26 feet and 40 ...
... construct- ed ; find the altitude of the A. 81. Find the side of an equilateral △ equivalent to the sum of two equilateral △ whose sides are respectively 5m and 12m . 82. Find the area of a trapezoid whose bases are 26 feet and 40 ...
Σελίδα 53
... Construct a common tangent to two circles . - Boston University . 26. Three consecutive sides of a quadrilateral inscribed in a circle subtend arcs of 82 ° , 99 ° , and 67 ° respectively . Find each angle of the quadrilateral in degrees ...
... Construct a common tangent to two circles . - Boston University . 26. Three consecutive sides of a quadrilateral inscribed in a circle subtend arcs of 82 ° , 99 ° , and 67 ° respectively . Find each angle of the quadrilateral in degrees ...
Σελίδα 54
... construct an isosceles triangle with a given base and a given vertical angle . - School of Mines . 42. Two circumferences intersect at A and B. Through B any secant is drawn so as to cut the circumferences in C and D respectively . Show ...
... construct an isosceles triangle with a given base and a given vertical angle . - School of Mines . 42. Two circumferences intersect at A and B. Through B any secant is drawn so as to cut the circumferences in C and D respectively . Show ...
Σελίδα 58
... construct the rectangle . - Bowdoin . 72. Prove that if any point on one of the diagonals of a parallelogram be joined to the vertices , of the triangles thus formed , those having the same base are equivalent.— U. of Cal . 73. In a ...
... construct the rectangle . - Bowdoin . 72. Prove that if any point on one of the diagonals of a parallelogram be joined to the vertices , of the triangles thus formed , those having the same base are equivalent.— U. of Cal . 73. In a ...
Σελίδα 59
... Construct x . - Cornell . 83. Find the area of a triangle in terms of its sides.— Vanderbilt University . 84. Prove that , if in the triangle A B C the line drawn from the vertex C to the middle point of the opposite side is equal to ...
... Construct x . - Cornell . 83. Find the area of a triangle in terms of its sides.— Vanderbilt University . 84. Prove that , if in the triangle A B C the line drawn from the vertex C to the middle point of the opposite side is equal to ...
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...