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

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Página 7

Starting from the proposition that , if two quantities are equal , their square

must also be equal , and disregarding the fact that every number has two different

square

Starting from the proposition that , if two quantities are equal , their square

**roots**must also be equal , and disregarding the fact that every number has two different

square

**roots**, they proceed as though either square**root**of the first member of ... Página 17

... and three , p = the sum of their products taken four and four , r = the sum of their

products taken five and five , etc . , etc . ; then the quantities themselves will be

the

... and three , p = the sum of their products taken four and four , r = the sum of their

products taken five and five , etc . , etc . ; then the quantities themselves will be

the

**roots**of the general equation , X " – sXm - 1 + mXm - 2 - nXm - 3 + pXm - 4 — . Página 19

Hence , the values of the five unknown quantities are the

X5 — 35X4 + 470X3 — 3010X2 + 9129X = 10395 . . . 2 = 3 , y = 5 , 237 , w = 9 , v

= 11 . II . ( 203 + 73 + z3 = 415423 = “ Given , 35 + 45 + 25 = 1876049407 = d ?

Hence , the values of the five unknown quantities are the

**roots**of the equation ,X5 — 35X4 + 470X3 — 3010X2 + 9129X = 10395 . . . 2 = 3 , y = 5 , 237 , w = 9 , v

= 11 . II . ( 203 + 73 + z3 = 415423 = “ Given , 35 + 45 + 25 = 1876049407 = d ?

Página 20

Hence , the coefficients of the following equation are known whose

values of x , y , z , and w : X4 _ sX3 + mXnX = - p . IV . “ Given : atytxtw = s = 100 .

( xyz + rywtxzw + yzw ) ( xy + xz + xw + zytwy + xw ) = b = 201010896 . ( x + y + 2

...

Hence , the coefficients of the following equation are known whose

**roots**are thevalues of x , y , z , and w : X4 _ sX3 + mXnX = - p . IV . “ Given : atytxtw = s = 100 .

( xyz + rywtxzw + yzw ) ( xy + xz + xw + zytwy + xw ) = b = 201010896 . ( x + y + 2

...

Página 21

Hence , the values , of a , b , and c , are the

+ 77047100X = 119956200000 . . . . a = 3250 inches , b = 5070 inches , c = 7280

inches . VI . “ In the triangle , A B C , we have given : the product of the sides ...

Hence , the values , of a , b , and c , are the

**roots**of the equation , X3 — 15600X2+ 77047100X = 119956200000 . . . . a = 3250 inches , b = 5070 inches , c = 7280

inches . VI . “ In the triangle , A B C , we have given : the product of the sides ...

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Página 245 - To gild refined gold, to paint the lily, To throw a perfume on the violet, To smooth the ice, or add another hue Unto the rainbow, or with taper-light To seek the beauteous eye of heaven to garnish, Is wasteful, and ridiculous excess.

Página 336 - When lovely woman stoops to folly. And finds, too late, that men betray. What charm can soothe her melancholy, What art can wash her guilt away? The only art her guilt to cover. To hide her shame from every eye, To give repentance to her lover, And wring his bosom, — is to die.

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.