Encyclopædia metropolitana; or, Universal dictionary of knowledge, ed. by E. Smedley, Hugh J. Rose and Henry J. Rose. [With] Plates, Том 11845 |
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Сторінка 305
... equal to the sum of the squares described upon the other two sides ; a proposition equally curious from the peculiarity of the result , and important for the numerous applications it finds in every branch of mathematical science . This ...
... equal to the sum of the squares described upon the other two sides ; a proposition equally curious from the peculiarity of the result , and important for the numerous applications it finds in every branch of mathematical science . This ...
Сторінка 306
... equal , and on the relation of their surfaces . He was the first to discover the elegant deduction , that the solidity of the sphere is to that of the cylinder as 2 to 3 ; and that their curvilinear surfaces are equal , or , which is ...
... equal , and on the relation of their surfaces . He was the first to discover the elegant deduction , that the solidity of the sphere is to that of the cylinder as 2 to 3 ; and that their curvilinear surfaces are equal , or , which is ...
Сторінка 314
... equal to each other , is called an equilateral triangle , fig . 7 ; when only two of its sides are equal , it is an isosceles tri- angle , fig . 8 ; and when they are all unequal , it is called a scalene triangle , fig . 9 . Triangles ...
... equal to each other , is called an equilateral triangle , fig . 7 ; when only two of its sides are equal , it is an isosceles tri- angle , fig . 8 ; and when they are all unequal , it is called a scalene triangle , fig . 9 . Triangles ...
Сторінка 315
... equal to the same thing , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. The whole is greater than its part . 4. The whole is equal to the sum of all its parts . 5. A right line may be drawn from ...
... equal to the same thing , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. The whole is greater than its part . 4. The whole is equal to the sum of all its parts . 5. A right line may be drawn from ...
Сторінка 316
... equal to each other , ( ax . 6 ; ) that is , the side A C = DF , BC = E F , and the angle C = F. PROPOSITION VI . - Theorem . If two of the sides of a triangle are equal to each other , the angles opposite those sides will also be equal ...
... equal to each other , ( ax . 6 ; ) that is , the side A C = DF , BC = E F , and the angle C = F. PROPOSITION VI . - Theorem . If two of the sides of a triangle are equal to each other , the angles opposite those sides will also be equal ...
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adjective adverb Alamannic altitude ancient Anglo-Saxon applied argument Aristotle assertion base Cæsar called Chap CHAUCER Cicero circ circle circumference common conception conjunction connected consequently considered derived dialect distinct employed equal existence expressed Fallacy former Frankish French Geometry German given Gothic Grammar grammarians Greek hearers hence idea ignoratio elenchi instance interjection kind Kyng language Latin latter less Logic manner meaning mind mode nature noun noun substantive object observed old English origin parallel parallelogram participle perpendicular person phrase plane polygon predicate Premiss principles Priscian prism pronoun prop PROPOSITION radius reason regular polygon relation remark respect Rhetoric right angles Scholium Scottish sense sentence SHAKSPEARE sides signifies similar solid solid angle speaking speech square substantive supposed surface Syllogism term thing thought tion triangle truth Universal Grammar verb word writers
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Сторінка 260 - to acknowledge our sins before God,|| yet ought we most chiefly so to do,|| when we assemble and meet together—to render thanks for the great benefits that we have received at his hands, — to .set forth his most worthy praise, to hear his most holy word, and to ask those things which are requisite and
Сторінка 250 - like one of these. If then God so clothe the grass which to-day is in the field, and to-morrow is cast into the oven, how much more will he clothe you' 1 * Let us here adopt a little of the tasteless manner of modern
Сторінка 128 - spur that the clear spirit doth raise, (That last infirmity of noble mind; To scorn delights, and live laborious days ; But the fair guerdon when we hope to find, Comes the blind fury, with th* abhorred
Сторінка 267 - here present, to accompany me with a pure heart and humble voice to the throne of the heavenly grace, saying after me.' " In the latter part of the first period, * but confess them with an humble lowly penitent and obedient heart, to the end that we may obtain, forgiveness of the same, by his infinite goodness and
Сторінка 249 - any risk of its meaning being mistaken. The passage cited by Dr. Campbell,f from one of our Lord's discourses, (which are in general of this character,) together with the remarks made upon it, will serve to illustrate what has been just said : "'Consider,' says our Lord, ' the lilies how they grow : they toil not, they spin not ; and yet 1 say
Сторінка 150 - statesman, JACK CADE, thus reproaches his prisoner LORD SAY, " It will be proved to thy face, that thou hast men about thee, that usually talk of a noun and a verb, and such abominable words, as no Christian ear can endure to hear.
Сторінка 255 - Burke, as an instance of Energetic brevity, is in this manner brought in at the close of a more expanded exhibition of the sentiment, as a condensed conclusion of the whole. " Power, of some kind or other, will survive the shock in which manners and opinions perish ; and it will find other
Сторінка 267 - his infinite goodness and mercy. And although we ought at all times humbly to acknowledge our sins before God, yet ought we most chiefly so to do, wlien we assemble and meet together. To render thanks for the great benefits
Сторінка 78 - I would have in the heath some thickets made only of sweet-briar, and honeysuckle, and some wild vine amongst; and the ground set with violets ; for these are sweet, and prosper in the shade ; and these to be in the heath here and there, not in
Сторінка 307 - and whereas, before, our forefathers had no other books but the scure and the tally, thou hast caused printing to be used : and contrary to the king, his crown and dignity, thou hast built a paper mill.