First book of mathematicsA. & C. Black, 1872 - 124 σελίδες |
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Σελίδα 59
... inscribed in the circle . Problem 53 . 198. To inscribe a circle within a triangle . Let ABC be the given triangle . Bisect any two angles , as A and B , by the lines AD , BD , meeting in the point D. D is equidistant from the sides of ...
... inscribed in the circle . Problem 53 . 198. To inscribe a circle within a triangle . Let ABC be the given triangle . Bisect any two angles , as A and B , by the lines AD , BD , meeting in the point D. D is equidistant from the sides of ...
Σελίδα 60
... inscribed in the triangle . FIG . 55 B A E C 199. Note . This illustrates a property of the triangle -The straight lines bisecting the three angles of any tri- angle meet in one point , which is equidistant from the sides . To find that ...
... inscribed in the triangle . FIG . 55 B A E C 199. Note . This illustrates a property of the triangle -The straight lines bisecting the three angles of any tri- angle meet in one point , which is equidistant from the sides . To find that ...
Σελίδα 61
... inscribed in the square mnop . Note . The point of intersection of the diagonals of a square is equidistant from the sides . Problem 57 . 203. 1. To inscribe a square in a circle , and 2. to describe a square about a circle . 1. Draw ...
... inscribed in the square mnop . Note . The point of intersection of the diagonals of a square is equidistant from the sides . Problem 57 . 203. 1. To inscribe a square in a circle , and 2. to describe a square about a circle . 1. Draw ...
Σελίδα 63
... equal to half the 180 ° - ( 360 ° ÷ n ) angle of the polygon ; or , = 2 212. A circumscribed polygon of the same number of sides may be formed by lines parallel to each side of the inscribed polygon at the middle points of the arc.
... equal to half the 180 ° - ( 360 ° ÷ n ) angle of the polygon ; or , = 2 212. A circumscribed polygon of the same number of sides may be formed by lines parallel to each side of the inscribed polygon at the middle points of the arc.
Σελίδα 64
Hugo Reid. the inscribed polygon at the middle points of the arc it subtends ; or by tangents to the circle at the angular points of the inscribed polygon . Problem 60 . 213. To describe a regular polygon on a given straight line . : At ...
Hugo Reid. the inscribed polygon at the middle points of the arc it subtends ; or by tangents to the circle at the angular points of the inscribed polygon . Problem 60 . 213. To describe a regular polygon on a given straight line . : At ...
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20 feet ABCD acute angle adjacent angles adjacent sides algebra altitude angle equal angular points Ans.-1 acre arc cutting called central angle centre circumference contained denotes describe an arc diagonal divide divisor drawn equal angles equal sides equation equidistant equilateral triangle expressed extract the square ference Find the area Find the length foot formula geometrical truth given angle given line given point given square given straight line given triangle gonal hexagon hypotenuse inches inscribed line joining meet middle point multiply Nonagon Note number of degrees number of sides opposite angles opposite side parallel lines parallelogram pendicular perpendicular plane figure point of bisection poles produced proportion quadrilateral radius equal ratio rectangle rectilineal figure regular polygon rhombus right angles right-angled triangle rood rule sides equal square equal square feet square root square yards subtracted surface tangent trapezium trapezoid unknown quantity
Δημοφιλή αποσπάσματα
Σελίδα 5 - The circumference of every circle is supposed to be divided into...
Σελίδα 48 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Σελίδα 3 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 39 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Σελίδα 59 - Quadrilateral ; of five sides a Pentagon ; of six sides a Hexagon ; of seven sides a Heptagon ; of eight sides an Octagon ; of nine sides a Nonagon ; of ten sides a Decagon ; of twelve sides a Dodecagon.
Σελίδα 112 - Polygons are those which have more than four sides. They receive particular names from the number of their sides ; thus a pentagon has five sides, a hexagon has six sides, a heptagon seven, an octagon eight, a nonagon nine, a decagon ten, an undecagon eleven, and a dodecagon has twelve sides.
Σελίδα 118 - Divide the area by . 7854 and extract the square root of the quotient.
Σελίδα 82 - To rearrange an equation you can • add the same quantity to both sides • subtract the same quantity from both sides • multiply both sides by the same quantity • divide both sides by the same quantity.
Σελίδα 107 - Find the area of a field in the form of a trapezoid whose altitude is 120 m and whose parallel sides are 130 m and 180 m.
Σελίδα 4 - It is a line every point of which is at the same distance from a point within it called the centre.