## The Bizarre Notes and Queries in History, Folk-lore, Mathematics, Mysticism, Art, Science, Etc, Volúmenes5-6 |

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Página x

Professors of Postage free , mathematics , teachers , students , and all

lovSpecimen copies sent free . ers of the bewitching science , are invited to

contribute Problems ,

of cles on ...

Professors of Postage free , mathematics , teachers , students , and all

lovSpecimen copies sent free . ers of the bewitching science , are invited to

contribute Problems ,

**Solutions**, and Artis Catalogues of a complete assortmentof cles on ...

Página 19

= 3010 , p = 9129 , and r = 10395 . Hence , the values of the five unknown

quantities are the roots of the equation , X5 — 35X4 + 470X3 — 3010X2 + 9129X

...

**SOLUTION**: By formulæ , ( 12 ) , ( 13 ) , ( 14 ) , and ( 15 ) , we find that m = 470 , n= 3010 , p = 9129 , and r = 10395 . Hence , the values of the five unknown

quantities are the roots of the equation , X5 — 35X4 + 470X3 — 3010X2 + 9129X

...

Página 20

z ( a + y + w = d [ N . E . Journal of Education , Boston , Mass . ]

may deduce the following equations : m = { ( a + b + c + d ) = 9 . m2 + 18 + 2p =

ab + ac + ad + bc + bd + cd = h . s2p + smn + 2pm - n2 = abc + abd + bcd ...

z ( a + y + w = d [ N . E . Journal of Education , Boston , Mass . ]

**SOLUTION**; Wemay deduce the following equations : m = { ( a + b + c + d ) = 9 . m2 + 18 + 2p =

ab + ac + ad + bc + bd + cd = h . s2p + smn + 2pm - n2 = abc + abd + bcd ...

Página 21

+ 8 82 ) ( 48 , + 852 ) = 77047100 ; and n = ( 48 , 2 52 ) ( 288 , 82 — 83 ) = ) 48 , +

882 ) 2 = 113956200000 . Hence , the values , of a , b , and c , are the roots of ...

**SOLUTION**: We may find by formulæ , ( 21 ) , ( 27 ) , and ( 31 ) , that m = ( 48 , 92+ 8 82 ) ( 48 , + 852 ) = 77047100 ; and n = ( 48 , 2 52 ) ( 288 , 82 — 83 ) = ) 48 , +

882 ) 2 = 113956200000 . Hence , the values , of a , b , and c , are the roots of ...

Página 22

Required , the sides of the quadrilateral . ” [ The Mathematical Messenger , Ada ,

La . ]

Because the quadrilateral is circumscribable , we have by geometry , ate = b + d .

Required , the sides of the quadrilateral . ” [ The Mathematical Messenger , Ada ,

La . ]

**SOLUTION**: Let a = AB , b = BC , c = CD , and d = D A , the sides in order .Because the quadrilateral is circumscribable , we have by geometry , ate = b + d .

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Página 278 - That it might be fulfilled which was spoken by the prophet, saying, I will open my mouth in parables ; I will utter things which have been kept secret from the foundation of the world.

Página 339 - Now there was about this time Jesus, a wise man, if it be lawful to call him a man, for he was a doer of wonderful works, a teacher of such men as receive the truth with pleasure.

Página 236 - He was exactly five feet six inches in height, and six feet five inches in circumference. His head was a perfect sphere, and of such stupendous dimensions, that Dame Nature, with all her sex's ingenuity, would have been puzzled to construct a neck capable of supporting it ; wherefore she wisely declined the attempt, and settled it firmly on the top of his backbone, just between the shoulders.

Página 377 - But of that day and hour knoweth no man ; no, not the angels of heaven, but my Father only.

Página 377 - Watch ye therefore : for ye know not when the master of the house cometh, at even, or at midnight, or at the cockcrowing, or in the morning : lest coming suddenly he find you sleeping. And what I say unto you I say unto all, Watch.

Página 149 - He, whom the mind alone can perceive, whose essence eludes the external organs, who has no visible parts, who exists from eternity, even he, the soul of all beings, whom no being can comprehend, shone forth in person. He, having willed to produce various beings from his own divine substance, first with a thought created the waters, and placed in them a productive seed...

Página 317 - Vol. III. The Sacred Books of China. The Texts of Confucianism.

Página 277 - Enoch also, the seventh from Adam, prophesied of these, saying, Behold, the Lord cometh with ten thousand of his saints, to execute judgment upon all, and to convince, all that are ungodly among them of all their ungodly deeds which they have ungodly committed, and of all their hard speeches which ungodly sinners have spoken against him.