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 13.
Σελίδα 74
... Define the terms " locus " and " limit of a variable and give an example of each . ( b ) Prove that two triangles are similar if their homologous sides are proportional . ( c ) Through a given point A within a circle draw two equal ...
... Define the terms " locus " and " limit of a variable and give an example of each . ( b ) Prove that two triangles are similar if their homologous sides are proportional . ( c ) Through a given point A within a circle draw two equal ...
Σελίδα 76
... Define triangle , right angle , right triangle , scalene triangle . 2. Prove that the opposite sides and angles of a parallelo- gram are equal . Define a parallelogram , a rectangle . 3. Prove that an angle inscribed in a circle is 76 ...
... Define triangle , right angle , right triangle , scalene triangle . 2. Prove that the opposite sides and angles of a parallelo- gram are equal . Define a parallelogram , a rectangle . 3. Prove that an angle inscribed in a circle is 76 ...
Σελίδα 77
... Define area . 7. Define a regular polygon and prove that two regular polygons of the same number of sides are similar . Define similar figures . Princeton , June , 1895 . What text - book have you read ? 1. Prove that every point in a ...
... Define area . 7. Define a regular polygon and prove that two regular polygons of the same number of sides are similar . Define similar figures . Princeton , June , 1895 . What text - book have you read ? 1. Prove that every point in a ...
Σελίδα 78
... Define similar polygons and show that two triangles whose sides are respectively parallel or perpendicular are simi- lar polygons according to the definition . 4. Prove that , if from a point without a circle a secant and a tangent are ...
... Define similar polygons and show that two triangles whose sides are respectively parallel or perpendicular are simi- lar polygons according to the definition . 4. Prove that , if from a point without a circle a secant and a tangent are ...
Σελίδα 79
... define six quadrilateral figures . Prove that in a parallelogram the opposite sides are equal , and the diagonals bisect each other . 2. Define and show how to construct the inscribed circle and the three escribed circles of a given ...
... define six quadrilateral figures . Prove that in a parallelogram the opposite sides are equal , and the diagonals bisect each other . 2. Define and show how to construct the inscribed circle and the three escribed circles of a given ...
Άλλες εκδόσεις - Προβολή όλων
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.