The Modern Preceptor Or a General Course of Education: Containing Introductory Treatises on Language, Arithmetic, Bookkeeping, Algebra, Geometry, Geography, Astronomy, Chronology, Navigation, Drawing, Painting, &c., Agriculture, Geology, Moral Philosophy : for the Use of Schools, المجلد 1Vernor, Hood, and Sharpe, 1810 - 580 من الصفحات |
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الصفحة 262
... ROOTS . When a number is multiplied by itself , it is said to be squared or raised to the second power , the simple value of the number itself being considered as the root or first pow er : if the second power or square be again ...
... ROOTS . When a number is multiplied by itself , it is said to be squared or raised to the second power , the simple value of the number itself being considered as the root or first pow er : if the second power or square be again ...
الصفحة 263
... roots or first powers of any given squares or cubes . 1st . To extract the square root of any given quantity , we divide the given square into periods of two figures cach , beginning at the right hand and counting to the left , if the ...
... roots or first powers of any given squares or cubes . 1st . To extract the square root of any given quantity , we divide the given square into periods of two figures cach , beginning at the right hand and counting to the left , if the ...
الصفحة 264
... square is to be brought down , and the extraction carried on as before . Should it happen that the quotient doubled ... root ; reckoning one place of decimals for every period or pair of noughts employed in the extraction . Required the root ...
... square is to be brought down , and the extraction carried on as before . Should it happen that the quotient doubled ... root ; reckoning one place of decimals for every period or pair of noughts employed in the extraction . Required the root ...
الصفحة 265
... root or number will , when squared , give a product equal to or nearest under the first period on the left hand , which is here 46 : this the preceding Table shows to be 6 , whose square is 36 , for the square of 7 being 49 , would be ...
... root or number will , when squared , give a product equal to or nearest under the first period on the left hand , which is here 46 : this the preceding Table shows to be 6 , whose square is 36 , for the square of 7 being 49 , would be ...
الصفحة 266
... root required : but as part of the given square is a deci- mal fraction consisting of four figures , forming two ... root , which thus is found to be 680,25 . As a proof that the operation is correct , we may square this root , or ...
... root required : but as part of the given square is a deci- mal fraction consisting of four figures , forming two ... root , which thus is found to be 680,25 . As a proof that the operation is correct , we may square this root , or ...
المحتوى
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طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
added Adjective Adverb algebraic quantities altitude arch arithmetical base AC bisected called centre chord circle circumference column consequently contained cube decimal denominator diameter difference distance divided dividend division divisor drawn ellipse English equal equation example expressed farthings feet figure formed fraction Geom give given greater hypothenuse improper fraction inches integers language Ledger logarithm manner means measure multiplied natural number Neuter Nominative nought Noun Objective observed operation opposite angles parallel parallelogram Participle pence perpendicular Person Plate Plural polygon pounds Preposition prism Pronoun Prop proportion quantity quotient radius rectangle remainder Richard Wilson right angles right line segment Sentence shillings side AC sine solid Spect square root Substantive subtracting supposed surface tangent term thing third Thou tion triangle Trigonometry units Verb Active VULGAR FRACTIONS whole words write yards
مقاطع مشهورة
الصفحة 82 - Of law there can be no less acknowledged, than that her seat is the bosom of God, her voice the harmony of the world ; all things in heaven and earth do her homage, the very least as feeling her care, and the greatest as not exempted from her power...
الصفحة 134 - God by faith; that I may know Him and the power of His resurrection and the fellowship of His sufferings, being made conformable unto His death, if by any means I might attain unto the resurrection of the dead.
الصفحة 158 - Now when all the people were baptized, it came to pass, that Jesus also being baptized, and praying, the heaven was opened, "and the Holy Ghost descended in a bodily shape like a dove upon him, and a voice came from heaven, which said, 'Thou art my beloved Son; in thee I am well pleased.
الصفحة 158 - O generation of vipers, who hath warned you to flee from the wrath to come? Bring forth therefore fruits meet for repentance: And think not to say within yourselves, We have Abraham to our father: for I say unto you, that God is able of these stones to raise up children unto Abraham.
الصفحة 130 - This rule arises from the nature and idiom of our language, and from as plain a principle as any on which it is founded; namely, that a word which has the article before it, and the possessive preposition of after it, must be a noun: and, if a noun, it ought to follow the construction of a noun, and not to have the regimen of a verb. It is the participial termination of this sort of words that is apt to deceive us, and make us treat them as if they were of an amphibious species, partly nouns and...
الصفحة 155 - And the men of the city said unto him on the seventh day before the sun went down, What is sweeter than honey ? and what is stronger than a lion...
الصفحة 132 - How think ye? If a man have an hundred sheep, and one of them be gone astray, doth he not leave the ninety and nine, and goeth into the mountains and seeketh that which is gone astray ? And if so be that he find it, verily I say unto you, he rejoiceth more of that sheep than of the ninety and nine which went not astray...
الصفحة 158 - I indeed baptize you with water; but one mightier than I comcth, the latchet of whose shoes I am not worthy to unloose: he shall baptize you with the Holy Ghost and with fire...
الصفحة 144 - Each works its end, to move or govern all: And to their proper operation still Ascribe all good; to their improper, ill. Self-love, the spring of motion, acts the soul; Reason's comparing balance rules the whole. Man, but for that, no action could attend, And but for this, were active to no end...
الصفحة 157 - Annas and Caiaphas being the high priests, the word of God came unto John the son of Zacharias in the wilderness.