The popular educator, Volume 4; Volume 71852 |
From inside the book
Results 1-5 of 100
Page 45
... angle between the vertical lines must not be neglected . Thus , in the English measurement of an arc of the meridian , the angle between the vertical lines at Dunnose , in the Isle of Wight , and at Clifton near Doncaster , was found to ...
... angle between the vertical lines must not be neglected . Thus , in the English measurement of an arc of the meridian , the angle between the vertical lines at Dunnose , in the Isle of Wight , and at Clifton near Doncaster , was found to ...
Page 49
... angle A C D is greater than either of the interior opposite angles C B A and B AC . Bisect ( I. 10 ) AC in E , join ... angle A E B is equal ( I. 15 ) to the angle CEF , because they are vertical angles . Therefore the base AB is equal ...
... angle A C D is greater than either of the interior opposite angles C B A and B AC . Bisect ( I. 10 ) AC in E , join ... angle A E B is equal ( I. 15 ) to the angle CEF , because they are vertical angles . Therefore the base AB is equal ...
Page 50
... angle equal to the interior and opposite angle ; but by Prop . XVI . the exterior angle is greater than the interior and opposite angle ; therefore , the angle A E B is both equal to , and greater than , the angle A DE , which is ...
... angle equal to the interior and opposite angle ; but by Prop . XVI . the exterior angle is greater than the interior and opposite angle ; therefore , the angle A E B is both equal to , and greater than , the angle A DE , which is ...
Page 61
... angle less than a right angle . In proportion to the smallness of the angle between these planes , so is the decrease of the velocity of a body which descends along the inclined plane . Thus , let A B , fig . 12 , represent an inclined ...
... angle less than a right angle . In proportion to the smallness of the angle between these planes , so is the decrease of the velocity of a body which descends along the inclined plane . Thus , let A B , fig . 12 , represent an inclined ...
Page 89
... angle has been given in the Lessons on Geometry ; but in Trigonometry this definition is greatly altered and extended . Angular mag- nitude in general is the space generated by the revolution of a straight line about one of its ...
... angle has been given in the Lessons on Geometry ; but in Trigonometry this definition is greatly altered and extended . Angular mag- nitude in general is the space generated by the revolution of a straight line about one of its ...
Common terms and phrases
acid adjectives adverbs ammonia antimony aorist apparatus arsenic atmosphere barometer body bottle called Cash Account CASSELL'S compound contains copula Cotton Account dative denotes density direction employed English equal example EXERCISE Florence flask force fraction French German given glass grave accent gravity greater Greek hence hydrogen inch Italian Italian language language Latin latter LESSONS liquid London and Westminster manganese marked means mercury metal motion nitric acid noun object orifice oxygen pá-dre participle particles Perfect Tense piston Pluperfect Tense PLUR plural preceding precipitate preposition present pressure pronounced quantity qué-sto remark right angles rocks scale sentence side solution sound straight line student sulphur sulphuret surface syllable Tense thou tion triangle tube ú-na University of Pavia velocity verb vessel vibrations vowel weight Westminster Bank words zinc ας εν εστιν Οἱ ον ου
Popular passages
Page 173 - It is true, that a little philosophy inclineth man's mind to atheism, but depth in philosophy bringeth men's minds about to religion ;* for while the mind of man looketh upon second causes scattered...
Page 366 - If I have seen any perish for want of clothing, or any poor without covering; If his loins have not blessed me, and if he were not warmed with the fleece of my sheep...
Page 367 - Sometimes a distant sail gliding along the edge of the ocean would be another theme of idle speculation. How interesting this fragment of a world hastening to rejoin the great mass of existence! What a glorious monument of human invention, that has thus triumphed over wind and wave ; has brought the ends of the earth in communion ; has established an interchange of blessings, pouring...
Page 174 - For, after a long and manly, but vain struggle with his distemper, he dismissed his physicians, and with them all hopes of life : but with his hopes of life he dismissed not his concern for the living, but sent for a youth nearly related, and finely accomplished, yet not above being the better for good impressions from a dying friend.
Page 367 - Is this a dagger which I see before me, The handle toward my hand ? Come, let me clutch thee. I have thee not, and yet I see thee still. Art thou not, fatal vision, sensible To feeling as to sight ? or art thou but A dagger of the mind, a false creation, Proceeding from the heat-oppressed brain ? I see thee yet, in form as palpable As this which now I draw.
Page 219 - If two triangles have two sides of the one equal to two sides of the...
Page 366 - O'er the dark trees a yellower verdure shed, And tip with silver every mountain's head ; Then shine the vales, the rocks in prospect rise, A flood of glory bursts from all the skies ; The conscious swains, rejoicing in the sight, Eye the blue vault, and bless the useful light.
Page 174 - ... truth. He has dissipated the prejudice that had long connected gaiety with vice, and easiness of manners with laxity of principles. He has restored virtue to its dignity, and taught innocence not to be ashamed. This is an elevation of literary character "above all Greek, above all Roman fame.