The pupil teachers' handy mathematical and grammatical question-book, with key1880 |
Dentro del libro
Página 19
... equal , and also into two unequal parts , the part between the points of ... square on one part shall be double the square on the other . 4. In any triangle BAC , a line AD is drawn , bisecting BC in D. Show that the sum of the squares on AB ...
... equal , and also into two unequal parts , the part between the points of ... square on one part shall be double the square on the other . 4. In any triangle BAC , a line AD is drawn , bisecting BC in D. Show that the sum of the squares on AB ...
Página 61
... square on a straight line is equal to four times the square on half the line ... contained by AB , AC , and AB , BC ( II . 2 ) ; but AB is equal to twice AC ... rectangle contained by the whole line and one part may be twice the square on ...
... square on a straight line is equal to four times the square on half the line ... contained by AB , AC , and AB , BC ( II . 2 ) ; but AB is equal to twice AC ... rectangle contained by the whole line and one part may be twice the square on ...
Página 61
... rectangle contained by the whole line and one part , shall be equal to twice the square on the other part . A B ... together with the square on BC ( II . 3 ) ; but AC is equal to CB ( con . ) ; therefore the rectangle AB , BC is equal to ...
... rectangle contained by the whole line and one part , shall be equal to twice the square on the other part . A B ... together with the square on BC ( II . 3 ) ; but AC is equal to CB ( con . ) ; therefore the rectangle AB , BC is equal to ...
Página 61
Pupil teachers. therefore twice the square on CB , that is , the sum of the ... whole line and one part are equal to three times the square on the other part . Let AB be divided in the point H , so that the rectangle ... together with the ...
Pupil teachers. therefore twice the square on CB , that is , the sum of the ... whole line and one part are equal to three times the square on the other part . Let AB be divided in the point H , so that the rectangle ... together with the ...
Página 63
... squares on AB , AC are double of the squares on AD , BD . Q.E.D. 5. Show that if a straight line be divided into two parts , so that the rectangle contained by the whole and the first part is equal to the square of the second part , then ...
... squares on AB , AC are double of the squares on AD , BD . Q.E.D. 5. Show that if a straight line be divided into two parts , so that the rectangle contained by the whole and the first part is equal to the square of the second part , then ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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...
Página 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...
Página 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...
Página 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.
Página 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.
Página 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 ?
Página 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.
Página 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.