First book of mathematicsA. & C. Black, 1872 - 124 σελίδες |
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Σελίδα viii
... truths , illustrated by the problems . It is much to be regretted that a large majority of the youth of this country leave school utterly unacquainted with the useful and beautiful truths of algebra and geometry . For them , save a ...
... truths , illustrated by the problems . It is much to be regretted that a large majority of the youth of this country leave school utterly unacquainted with the useful and beautiful truths of algebra and geometry . For them , save a ...
Σελίδα 8
... truth in geometry . When the angle is doubled , the arc on which it stands is doubled in length ; when the angle is trebled , it stands on a arc of three times the number of degrees ; and so on . 44. An arc of a circle is thus a correct ...
... truth in geometry . When the angle is doubled , the arc on which it stands is doubled in length ; when the angle is trebled , it stands on a arc of three times the number of degrees ; and so on . 44. An arc of a circle is thus a correct ...
Σελίδα 26
... truth that , if a line ( CD ) meeting two others ( CF , AB ) makes the alternate angles equal ( ADC equal to DCF ) , these two lines are parallel . Note 2. - Usually a line is drawn parallel to another by means of the instrument called ...
... truth that , if a line ( CD ) meeting two others ( CF , AB ) makes the alternate angles equal ( ADC equal to DCF ) , these two lines are parallel . Note 2. - Usually a line is drawn parallel to another by means of the instrument called ...
Σελίδα 32
... given triangle ; for it is a geome- trical truth , that- * Something that is manifest , or follows easily from what has gone before . When two triangles have all their sides equal , each 32 FIRST BOOK OF MATHEMATICS .
... given triangle ; for it is a geome- trical truth , that- * Something that is manifest , or follows easily from what has gone before . When two triangles have all their sides equal , each 32 FIRST BOOK OF MATHEMATICS .
Σελίδα 35
... truth in geometry that- The interior angles of every triangle are together equal to two right angles ; - Whence , any two of them must be less than two right angles . If the two adjacent angles at the ends of a line were ex- actly equal ...
... truth in geometry that- The interior angles of every triangle are together equal to two right angles ; - Whence , any two of them must be less than two right angles . If the two adjacent angles at the ends of a line were ex- actly equal ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acres acute angle added altitude angle equal angular points base Bisect called centre chord circle circumference construct contained denotes diagonal diameter difference distance divide divisor draw drawn edge ends equal equal angles equation equidistant Examples Exercises expressed extract feet field figure Find the area foot formula four geometrical given angle given line given point given straight line given triangle gives half hypotenuse inches inscribed Join known length less letters mark means measure meet multiply Note number of degrees opposite side parallel parallel lines parallelogram perpendicular placed plane poles preceding Problem produced proportion quadrilateral quantity radius ratio rectangle regular polygon respects right angles right-angled triangle rood round rule sides similar square square root stands straight line subtracted surface taken term third usually whole yards
Δημοφιλή αποσπάσματα
Σελίδα 7 - The circumference of every circle is supposed to be divided into...
Σελίδα 50 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Σελίδα 5 - 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 41 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Σελίδα 61 - 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 114 - 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 120 - Divide the area by . 7854 and extract the square root of the quotient.
Σελίδα 84 - 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 109 - 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 6 - It is a line every point of which is at the same distance from a point within it called the centre.