Pure mathematics, Τόμος 11874 |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 7
... - INVOLUTION AND EVOLUTION , 178 99 IV . GREATEST COMMON MEASURE , AND LEAST COMMON MULTIPLE , 195 99 V. - FRACTIONS , 204 9 VI . SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM , 209 STAGE II SECTION 1. - GEOMETRY . EUCLID'S ELEMENTS ,
... - INVOLUTION AND EVOLUTION , 178 99 IV . GREATEST COMMON MEASURE , AND LEAST COMMON MULTIPLE , 195 99 V. - FRACTIONS , 204 9 VI . SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM , 209 STAGE II SECTION 1. - GEOMETRY . EUCLID'S ELEMENTS ,
Σελίδα 8
... EQUATIONS , 296 " " II . - PROBLEMS PRODUCING QUADRATIC EQUATIONS , 312 • " " III . - INDICES , 316 · 99 IV . - SURDS , 319 " " V. - RATIO AND PROPORTION , 327 SECTION III . - PLANE TRIGONOMETRY . CHAP . I. - MODES OF MEASURING ANGLES ...
... EQUATIONS , 296 " " II . - PROBLEMS PRODUCING QUADRATIC EQUATIONS , 312 • " " III . - INDICES , 316 · 99 IV . - SURDS , 319 " " V. - RATIO AND PROPORTION , 327 SECTION III . - PLANE TRIGONOMETRY . CHAP . I. - MODES OF MEASURING ANGLES ...
Σελίδα 204
... + 1 a b - b ) + ( a + b ) ( a + b ) ( a - b ) 1 = 2 a 62 ( a2 - b2 ) b2 ) ( a2 + b2 ) = 2 a . 1 a2 + b2 262 - b4 = - 4 aba a1 br Ex . 3. Find the value of ab + ( 204 ALGEBRA . 99 -FRACTIONS, 9 SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM,
... + 1 a b - b ) + ( a + b ) ( a + b ) ( a - b ) 1 = 2 a 62 ( a2 - b2 ) b2 ) ( a2 + b2 ) = 2 a . 1 a2 + b2 262 - b4 = - 4 aba a1 br Ex . 3. Find the value of ab + ( 204 ALGEBRA . 99 -FRACTIONS, 9 SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM,
Σελίδα 209
... equation of condition , or , more briefly , an equation . Thus , it may be found on trial that the equality 4x + 2 = 3x + 5 is true only when x = 3. Such an expression is therefore an equation . 59. The letters of an equation to which ...
... equation of condition , or , more briefly , an equation . Thus , it may be found on trial that the equality 4x + 2 = 3x + 5 is true only when x = 3. Such an expression is therefore an equation . 59. The letters of an equation to which ...
Σελίδα 210
... equation holds if every term on both sides has its sign changed . Thus , if ax + b = cx - d , we may reason as ... equation . 5. The sides of an equation may be reversed without destroy- ing the equality . Thus , if mx + n = pxq , it ...
... equation holds if every term on both sides has its sign changed . Thus , if ax + b = cx - d , we may reason as ... equation . 5. The sides of an equation may be reversed without destroy- ing the equality . Thus , if mx + n = pxq , it ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b a²b² a²x² ab² ab³ ABCD algebraical algebraical quantity angle ABC angle BAC angle BCD angle EDF angle equal ax² base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cube root decimal figures denominator distance divided divisor equation expression exterior angle factor Find the value fraction given rectilineal given straight line gram greater Hence join kilom less Let ABC logarithm metres millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment side BC square on AC square root subtraction term triangle ABC x²y x²y² x³y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 116 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to...
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 113 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 88 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16.
Σελίδα 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Σελίδα 94 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Σελίδα 271 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 91 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Σελίδα 112 - IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC...
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.