A Familiar Introduction to the Arts Sciences: With Original Introductory Essays Upon the Subject of Each Lesson. For the Use of Schools and Young Persons. Containing a General Explication of the Fundamental Principles and Facts of the Sciences, Divided Into Lessons, with Questions Subjoined to Each, for the Examination of Pupils |
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Page 169
... centre , " & c . & c . 10. An axiom is a manifest truth not requiring any demonstration : as the following 66 Examples . " Things equal to the same thing are equal to one another . " " The whole is greater than any of its parts , and ...
... centre , " & c . & c . 10. An axiom is a manifest truth not requiring any demonstration : as the following 66 Examples . " Things equal to the same thing are equal to one another . " " The whole is greater than any of its parts , and ...
Page 170
... centre . " line may be " Or that a " Or that a 2. A proposition is when something is proposed either to be done , or ... centres , and with any opening of the compasses greater B than half A B , describe arcs cutting each other in c and ...
... centre . " line may be " Or that a " Or that a 2. A proposition is when something is proposed either to be done , or ... centres , and with any opening of the compasses greater B than half A B , describe arcs cutting each other in c and ...
Page 172
... centre C of any circle . Fig . 10 . D E Draw a chord , A B , at pleasure , bisect it in d , with the diameter DE , which diameter being bi- sected give C as the centre . B Fig . 10 . Example 9. - To inscribe a square in a given circle ...
... centre C of any circle . Fig . 10 . D E Draw a chord , A B , at pleasure , bisect it in d , with the diameter DE , which diameter being bi- sected give C as the centre . B Fig . 10 . Example 9. - To inscribe a square in a given circle ...
Page 174
... centre of a circle ? How do you inscribe a square in a circle ? How do you inscribe a regular polygon in a circle ? 4. What is a theorem ? 5. What is a corollary ? What is proved respecting one line standing upon another ? What is the ...
... centre of a circle ? How do you inscribe a square in a circle ? How do you inscribe a regular polygon in a circle ? 4. What is a theorem ? 5. What is a corollary ? What is proved respecting one line standing upon another ? What is the ...
Page 179
... centre . 4. Every circle is supposed to be divided into 360 equal parts called degrees ; each degree into 60 equal parts , called minutes ; and each minute into 60 equal parts , called seconds . Degrees , minutes , and seconds are ...
... centre . 4. Every circle is supposed to be divided into 360 equal parts called degrees ; each degree into 60 equal parts , called minutes ; and each minute into 60 equal parts , called seconds . Degrees , minutes , and seconds are ...
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acid algebra ancient angle animals architecture arithmetic atmosphere body bounded called centre character chief towns circle colour common conic sections consist denominated diameter distinguished divided earth electricity ellipse eloquence equal feet figure fluid geometry Give the example Give the illustration glass Gothic architecture gravity Greeks heat human ideas inches Ionic order Isaac Newton islands Julian period Julius Cæsar Jupiter kind length LESSON THE SECOND letters light magnet means meant measured metals method metonomy miles mind moon motion mountains mythology Nabonassar nature nouns object oxygen perfect philosophical plane principal produced properties proportion proposition quantity QUESTIONS FOR EXAMINATION rays rivers Romans Russia shews sides sine solid sound specific gravities square stamens subjunctive mood substances supposed surface syllogism things tion triangle trigonometry tropes truth verb weight worship
Popular passages
Page 114 - If I beheld the sun when it shined, Or the moon walking in brightness ; And my heart hath been secretly enticed, Or my mouth hath kissed my hand : This also were an iniquity to be punished by the judge : For I should have denied the God that is above.
Page 364 - See through this air, this ocean, and this earth, All matter quick, and bursting into birth! Above, how high progressive life may go ! Around, how wide ! how deep extend below ! Vast chain of being! which from God began; Natures...
Page 179 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 4 - So far have I been from any care to grace my pages with modern decorations, that I have studiously endeavoured to collect examples and authorities from the writers before the restoration, whose works I regard as the wells of English undefiled, as> the pure sources of genuine diction.
Page 104 - Lighter than air, Hope's summer-visions die, If but a fleeting cloud obscure the sky ; If but a beam of sober Reason play, Lo, Fancy's fairy frost-work melts away ! But can the wiles of Art, the grasp of Power, Snatch the rich relics of a well-spent hour? These, when the trembling spirit wings her flight, Pour round her path a stream of living light, And gild those pure and perfect realms of rest Where Virtue triumphs and her sons are blest ! FROM 'HUMAN LIFE.
Page 4 - ... admitting among the additions of later times, only such as may supply real deficiencies, such as are readily adopted by the genius of our tongue, and incorporate easily with our native idioms.
Page 114 - Professing themselves to be wise, they became fools, and CHANGED the glory of the uncorruptible God into AN IMAGE made like to corruptible man, and to birds, and fourfooted beasts, and creeping things.
Page 276 - As home he goes beneath the joyous moon. Ye that keep watch in heaven, as earth asleep Unconscious lies, effuse your mildest beams, Ye constellations, while your angels strike, Amid the spangled sky, the silver lyre. Great source of day ! best image here below Of thy Creator, ever pouring wide, From world to world, the vital ocean round, On nature write with every beam His praise.
Page 137 - For the principal and proper work of history, being to instruct and enable men, by the knowledge of actions past to bear themselves prudently in the present, and providently towards the future...
Page 121 - That, chang'd thro' all, and yet in all the same, Great in the earth, as in th' ethereal frame, Warms in the sun, refreshes in the breeze, Glows in the stars, and blossoms in the trees, Lives thro