The Practical Teacher, Volume 1, Issue 1T. Nelson, 1882 - Education |
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Page 30
... angles contained by those sides equal to each other ; they shall likewise have their bases or third sides equal , and ... angle . Point out where the demonstration begins . Music . A quarter of an hour allowed for this paper . 1. Write ...
... angles contained by those sides equal to each other ; they shall likewise have their bases or third sides equal , and ... angle . Point out where the demonstration begins . Music . A quarter of an hour allowed for this paper . 1. Write ...
Page 31
... angle DBA = angle FBC . To each add angle ABC ; then the whole angle DBC = whole angle ABF , and the sides containing these angles are equal , each to each , viz . DB , BA respectively equal to AB , BF , and therefore by Prop . 4 the ...
... angle DBA = angle FBC . To each add angle ABC ; then the whole angle DBC = whole angle ABF , and the sides containing these angles are equal , each to each , viz . DB , BA respectively equal to AB , BF , and therefore by Prop . 4 the ...
Page 32
interior angles of every triangle are together equal to two right angles . The difference of the angles at the base of any triangle is double the angle contained by two lines drawn from the vertex , one bisecting the vertical angle ...
interior angles of every triangle are together equal to two right angles . The difference of the angles at the base of any triangle is double the angle contained by two lines drawn from the vertex , one bisecting the vertical angle ...
Page 33
... angles DCB , CBE , and twice angle DBE . But ABD , DBE together = half angle ABC = CBE ; .. the remaining angle DAB = angle DCB and twice DBE- that is , the angle DAB is greater than DCB by twice the angle DBE . Q.E.D. 2. Prop . 39 ...
... angles DCB , CBE , and twice angle DBE . But ABD , DBE together = half angle ABC = CBE ; .. the remaining angle DAB = angle DCB and twice DBE- that is , the angle DAB is greater than DCB by twice the angle DBE . Q.E.D. 2. Prop . 39 ...
Page 34
... angle of a right - angled triangle lines be drawn to the opposite angles of the square described on the hypotenuse , the difference of the squares on these lines is equal to the difference of the squares on the two sides of the triangle ...
... angle of a right - angled triangle lines be drawn to the opposite angles of the square described on the hypotenuse , the difference of the squares on these lines is equal to the difference of the squares on the two sides of the triangle ...
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Popular passages
Page 236 - The Bank undertakes for its Customers, free of charge, the custody of Deeds, Writings, and other Securities and Valuables ; the collection of Bills of Exchange, Dividends, and Coupons: and the purchase and sale of Stocks, Shares, and Annuities.
Page 322 - If two triangles have two sides of the one equal to two sides of the...
Page 197 - ... describe, who see all the operation but feel not the knife. This singular condition was not the result of any mental process. The shake annihilated fear, and allowed no sense of horror in looking round at the beast. This peculiar state is probably produced in all animals killed by the carnivora; and, if so, is a merciful provision by our benevolent Creator for lessening the pain of death.
Page 75 - THE Assyrian came down like the wolf on the fold, And his cohorts were gleaming in purple and gold; And the sheen of their spears was like stars on the sea, When the blue wave rolls nightly on deep Galilee.
Page 292 - The Bank also receives money on Deposit at Three per cent. Interest, repayable on demand. The Bank undertakes for its Customers, free of charge, the Custody of Deeds, Writings, and other Securities and...
Page ccxi - MAY I join the choir invisible Of those immortal dead who live again In minds made better by their presence : live In pulses stirred to generosity, In deeds of daring rectitude, in scorn For miserable aims that end with self. In thoughts sublime that pierce the night like stars, And with their mild persistence urge man's search To vaster issues.
Page 379 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Page 199 - The lions do lack, and suffer hunger: but they who seek the Lord, shall want no manner of thing that is good.
Page 32 - Whoever wishes to attain an English style, familiar but not coarse, and elegant but not ostentatious, must give his days and nights to the volumes of Addison...
Page 278 - The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal.