The pupil teachers' handy mathematical and grammatical question-book, with key1880 |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 11
... ABCD is a parallelogram whose diagonals AC , BD intersect in C : show that if the parallelo- grams AOBP , DOCQ be completed , the straight line joining P and Q passes through O. 34. Define a parallelogram and its diameter . Show that ...
... ABCD is a parallelogram whose diagonals AC , BD intersect in C : show that if the parallelo- grams AOBP , DOCQ be completed , the straight line joining P and Q passes through O. 34. Define a parallelogram and its diameter . Show that ...
Σελίδα 14
... ABCD , prove that the sum of the distances of P from the angular points is the least possible when P is situated at the intersec- tion of the diagonals . 8. The sum of the diagonals of a quadrilateral is less than the sum of any four ...
... ABCD , prove that the sum of the distances of P from the angular points is the least possible when P is situated at the intersec- tion of the diagonals . 8. The sum of the diagonals of a quadrilateral is less than the sum of any four ...
Σελίδα 19
... ABCD , cut off AE equal to one - fourth of AC , and join BE , DE . Show that the figure BADE equals twice the square on AE . 7. Draw DE parallel to BC , the base of an isosceles triangle ABC , and join BC . Show that the square on BE is ...
... ABCD , cut off AE equal to one - fourth of AC , and join BE , DE . Show that the figure BADE equals twice the square on AE . 7. Draw DE parallel to BC , the base of an isosceles triangle ABC , and join BC . Show that the square on BE is ...
Σελίδα 18
... ABCD be a quadrilateral . Then any three sides of it together shall be greater than the fourth side . B D C To prove that the three sides BA , AD , DC are together greater than the fourth side BC . Join BD ( post . 1 ) . Proof . In the ...
... ABCD be a quadrilateral . Then any three sides of it together shall be greater than the fourth side . B D C To prove that the three sides BA , AD , DC are together greater than the fourth side BC . Join BD ( post . 1 ) . Proof . In the ...
Σελίδα 20
... ABCD be a parallelogram , and let the angle ABC be bisected by the straight line BE , cutting AD in F , and meeting CD produced in E. Then the three triangles ABF , EBC , EFD shall 20 KEY TO EXAMINATION QUESTIONS IN EUCLID ( MALE ) .
... ABCD be a parallelogram , and let the angle ABC be bisected by the straight line BE , cutting AD in F , and meeting CD produced in E. Then the three triangles ABF , EBC , EFD shall 20 KEY TO EXAMINATION QUESTIONS IN EUCLID ( MALE ) .
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Συχνά εμφανιζόμενοι όροι και φράσεις
25 per cent A's share acres annum April 30 average avoirdupois bought boys bush bushel capital chicory Comp compound interest cost price decimal Divide dozen dwts farthings feet Find the cost Find the difference Find the simple Find the value gain 15 gain or lose gain p. c. gain per cent gallons gals gold guineas half-crowns horses inches invested lose p. c. loss miles p. c. per ann p. c. standing p. c. stock paid pairs PATERNOSTER SQUARE percentage prime cost profit quantity quarter rate p. c. rate per cent receive Reduce remainder selling price shilling simple interest sold sugar tons cwt vulgar fraction weeks Weights and Measures wheat worth yards yearly ΙΟ
Δημοφιλή αποσπάσματα
Σελίδα 77 - Air, and ye elements, the eldest birth Of Nature's womb, that in quaternion run Perpetual circle, multiform ; and mix And nourish all things ; let your ceaseless change Vary to our great Maker still new praise.
Σελίδα 89 - Like little wanton boys that swim on bladders, This many summers in a sea of glory ; But far beyond my depth ; my high-blown pride At length broke under me ; and now has left me, Weary, and old with service, to the mercy Of a rude stream, that must for ever hide me.
Σελίδα 96 - To-day, my lord of Amiens and myself Did steal behind him, as he lay along Under an oak, whose antique root peeps out Upon the brook that brawls along this wood...
Σελίδα 71 - Thus with the year Seasons return, but not to me returns Day, or the sweet approach of even or morn, Or sight of vernal bloom, or summer's rose, Or flocks, or herds, or human face divine; But cloud instead, and ever-during dark Surrounds me...
Σελίδα 87 - So Tongue was the lawyer, and argued the cause With a great deal of skill, and a wig full of learning ; While chief baron Ear sat to balance the laws, So famed for his talent in nicely discerning. In behalf of the Nose it will quickly appear, And your lordship...
Σελίδα 70 - There at the foot of yonder nodding beech That wreathes its old fantastic roots so high, His listless length at noontide would he stretch, And pore upon the brook that babbles by. "Hard by yon wood, now smiling as in scorn, Mutt'ring his wayward fancies he would rove, Now drooping, woeful wan, like one forlorn, Or crazed with care, or crossed in hopeless love.
Σελίδα 173 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Σελίδα 71 - No one is so accursed by fate, No one so utterly desolate, But some heart, though unknown, Responds unto his own : Responds, — as if, with unseen wings. An angel touched its quivering strings ; And whispers, in its song, ' ' Where hast thou stayed so long ?
Σελίδα 71 - What doth not so but man ? Houses are built by rule, and commonwealths. Entice the trusty sun, if that you can, From his Ecliptic line ; beckon the sky. Who lives by rule, then, keeps good company.
Σελίδα 19 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.