Queen's scholarship examination. Amner's eight years' scholarship questions ... in Euclid, algebra, & mensuration1879 |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 7
... minutes , when A has run 900 yards , and has outstripped B 75 yards , he falls ; but though he loses ground by the accident , and for the rest of the course makes 20 yards a minute less than before , he comes in only half a minute behind 7.
... minutes , when A has run 900 yards , and has outstripped B 75 yards , he falls ; but though he loses ground by the accident , and for the rest of the course makes 20 yards a minute less than before , he comes in only half a minute behind 7.
Σελίδα 52
... less than 18x2 ; and that a3 + b3 = 9ab - 27 if a + b + 3 = 0 . xa − 18x2 + 81 = ( x2 − 9 ) 2 . - - Now the square of any quantity is always positive . . ( x29 ) 2 is positive .. x2 - 18x2 + 81 is positive x2 + 81 > 18x2 That is , x4 ...
... less than 18x2 ; and that a3 + b3 = 9ab - 27 if a + b + 3 = 0 . xa − 18x2 + 81 = ( x2 − 9 ) 2 . - - Now the square of any quantity is always positive . . ( x29 ) 2 is positive .. x2 - 18x2 + 81 is positive x2 + 81 > 18x2 That is , x4 ...
Σελίδα 60
... D of the side AB . Show that CD is greater than CA , but less than CB . 3. The three interior angles of every triangle are together equal to two right angles . If two right - angled isosceles triangles have their bases 60.
... D of the side AB . Show that CD is greater than CA , but less than CB . 3. The three interior angles of every triangle are together equal to two right angles . If two right - angled isosceles triangles have their bases 60.
Σελίδα 61
... less than CB . Proof . - Angle CAD is B a right angle ( hyp . ) , there- fore angle CDA is less than a right angle ( I. 17 ) , there- D fore side CD is greater than the side CA ( I. 19 ) . A Again , angle CDB is C greater than angle CAD ...
... less than CB . Proof . - Angle CAD is B a right angle ( hyp . ) , there- fore angle CDA is less than a right angle ( I. 17 ) , there- D fore side CD is greater than the side CA ( I. 19 ) . A Again , angle CDB is C greater than angle CAD ...
Σελίδα 62
... less than four times the square on AD , the triangle ABC is an acute - angled triangle . 3. If a straight line be divided into two equal and also into two unequal parts , the rectangle contained by the unequal parts together with the ...
... less than four times the square on AD , the triangle ABC is an acute - angled triangle . 3. If a straight line be divided into two equal and also into two unequal parts , the rectangle contained by the unequal parts together with the ...
Άλλες εκδόσεις - Προβολή όλων
Queen's Scholarship Examination. Amner's Eight Years' Scholarship Questions ... Joseph Wollman Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
2ax² a²b a²x a²x² ABCD AC.CB acres acute angle ALGEBRA angle ABC angle AEB angle BAC ax² bisected breadth centre circle circumference co-efficient Completing the square diameter Dividing each side equal bases EUCLID factor find the area Find the G.C.M. four times sq given line given point given squares given straight line given triangle greater half the square hypotenuse inches isosceles triangle LONDON SCHOOL BOARD MENSURATION miles Multiplying each side Notes of Lessons number represented opposite angles parallelogram perpendicular proposition prove Pupil Teachers quadrilateral Queen's Scholarship rectangle contained rectangle HK rhombus right angles right-angled triangle Scholarship Examination SECTION Show square Extracting square on GH square root squares described triangle ABC triangle EOD triangle RMN twice rect twice the rectangle unequal x²y yards
Δημοφιλή αποσπάσματα
Σελίδα 64 - 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 80 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Σελίδα 60 - 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. And this point is called the centre of the circle.
Σελίδα 48 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Σελίδα 82 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 60 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.
Σελίδα 45 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.
Σελίδα 32 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 13 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.
Σελίδα 30 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.