The pupil teachers' handy mathematical and grammatical question-book, with key1880 |
From inside the book
Results 1-5 of 31
Page 16
... rectangle contained by the two straight lines is equal to the sum of the rectangles contained by the undivided line , and the several parts of the divided line . 2. Prove that if a straight line be divided into any two parts , the ...
... rectangle contained by the two straight lines is equal to the sum of the rectangles contained by the undivided line , and the several parts of the divided line . 2. Prove that if a straight line be divided into any two parts , the ...
Page 19
... rectangle contained by the whole and the first part is equal to the square of the second part , then must the squares on the whole line and on the first part be equal to three times the square on the second part . 6. From AC , the ...
... rectangle contained by the whole and the first part is equal to the square of the second part , then must the squares on the whole line and on the first part be equal to three times the square on the second part . 6. From AC , the ...
Page 53
... equal to the angle BCA ( 1. 29 ) ; therefore the angle EAF is equal to the angle EFA ( ax . 1 ) : wherefore the side EA is equal to the side EF ( 1. 6 ) . The rectangle FE , EA is double of the triangle EUCLID , BOOK I. 53.
... equal to the angle BCA ( 1. 29 ) ; therefore the angle EAF is equal to the angle EFA ( ax . 1 ) : wherefore the side EA is equal to the side EF ( 1. 6 ) . The rectangle FE , EA is double of the triangle EUCLID , BOOK I. 53.
Page 54
Pupil teachers. The rectangle FE , EA is double of the triangle AEF ( 1. 41 ) ; but the rectangle FE , EA is equal to the square on AE , that is , equal to the square on the diagonal AC ( con . ) ; therefore the square on AC is double of ...
Pupil teachers. The rectangle FE , EA is double of the triangle AEF ( 1. 41 ) ; but the rectangle FE , EA is equal to the square on AE , that is , equal to the square on the diagonal AC ( con . ) ; therefore the square on AC is double of ...
Page 61
... rectangle which has the same base and altitude . ' If a parallelogram and a triangle be upon the same base , and between the same parallels , the parallelogram shall be double of the triangle ' ( 1. 41 ) . 2. Deduce from this that a ...
... rectangle which has the same base and altitude . ' If a parallelogram and a triangle be upon the same base , and between the same parallels , the parallelogram shall be double of the triangle ' ( 1. 41 ) . 2. Deduce from this that a ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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...
Page 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...
Page 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...
Page 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.
Page 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.
Page 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 ?
Page 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.
Page 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.