Pure mathematics, Τόμος 11874 |
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Σελίδα 7
... EVOLUTION , 178 · 29 IV . GREATEST COMMON MEASURE , AND LEAST COMMON MULTIPLE , 195 · V. - FRACTIONS , 204 97 VI . SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM , 209 STAGE II . SECTION I. - GEOMETRY . EUCLID'S ELEMENTS.
... EVOLUTION , 178 · 29 IV . GREATEST COMMON MEASURE , AND LEAST COMMON MULTIPLE , 195 · V. - FRACTIONS , 204 97 VI . SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM , 209 STAGE II . SECTION I. - GEOMETRY . EUCLID'S ELEMENTS.
Σελίδα 8
... PROBLEMS PRODUCING QUADRATIC EQUATIONS , 312 99 III . INDICES , 316 · 99 IV . - SURDS , 319 327 · V. - RATIO AND PROPORTION , SECTION III . - PLANE TRIGONOMETRY . CHAP . I. - MODES OF MEASURING ANGLES BY DEGREES AND 99 99 GRADES ...
... PROBLEMS PRODUCING QUADRATIC EQUATIONS , 312 99 III . INDICES , 316 · 99 IV . - SURDS , 319 327 · V. - RATIO AND PROPORTION , SECTION III . - PLANE TRIGONOMETRY . CHAP . I. - MODES OF MEASURING ANGLES BY DEGREES AND 99 99 GRADES ...
Σελίδα 29
... problem is therefore to obtain the least of such numbers . DEF . - The least common multiple ( L.C.M. ) of two or more numbers is the least number which contains each of the given numbers exactly . RULE . Arrange the numbers in a line ...
... problem is therefore to obtain the least of such numbers . DEF . - The least common multiple ( L.C.M. ) of two or more numbers is the least number which contains each of the given numbers exactly . RULE . Arrange the numbers in a line ...
Σελίδα 62
... of two simple ratios , and therefore contains four simple terms ; and the usual problem is to find the fourth term , having given the first three terms . When we know the exact order of the given terms 62 ARITHMETIC . 9 16.
... of two simple ratios , and therefore contains four simple terms ; and the usual problem is to find the fourth term , having given the first three terms . When we know the exact order of the given terms 62 ARITHMETIC . 9 16.
Σελίδα 64
... problems in Rule of Three depends upon the principle of the equality of ratios . Practically , however , we proceed as follows : - Ex . 1. - If 12 men earn £ 18 , what will 15 men earn under the same circumstances ? We are required to ...
... problems in Rule of Three depends upon the principle of the equality of ratios . Practically , however , we proceed as follows : - Ex . 1. - If 12 men earn £ 18 , what will 15 men earn under the same circumstances ? We are required to ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
amount base called cent centre circle common Const contained decimal denominator describe difference distance divided divisible divisor double draw drawn equal equation evident example expression factor figures Find four fraction give given greater half Hence hour integer interest join less letters logarithm measure meet metres miles Multiply negative obtained opposite parallel parallelogram pass perpendicular places positive PROOF.-Because Q. E. D. Proposition quantity quotient ratio rectangle Reduce remainder respectively result right angles rule segment sides square square root straight line subtraction third touch triangle twice units whole
Δημοφιλή αποσπάσματα
Σελίδα 272 - The angles in the same segment of a circle are equal to one another.
Σελίδα 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 233 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any...
Σελίδα 112 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Σελίδα 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Σελίδα 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Σελίδα 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 121 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.