## Proceedings of the American Academy of Arts and Sciences, Volumen1Vol. 12 (from May 1876 to May 1877) includes: Researches in telephony / by A. Graham Bell. |

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Página 129

I . “ An attempt to prove that the sum of the three angles of any rectilineal

is equal to two right angles . " Def . Two quantities are said to be of the same kind

, when the less can be multiplied by some positive integer , so as to exceed the ...

I . “ An attempt to prove that the sum of the three angles of any rectilineal

**triangle**is equal to two right angles . " Def . Two quantities are said to be of the same kind

, when the less can be multiplied by some positive integer , so as to exceed the ...

Página 130

4 ) the

and their angles A B D , EC D are ... Hence the angle C of the

equals the sum of the two angles B and C of the given

sum ...

4 ) the

**triangles**A DB , CDE are identical ; so that their bases A B , C E are equal ,and their angles A B D , EC D are ... Hence the angle C of the

**triangle**ACEequals the sum of the two angles B and C of the given

**triangle**( A B C ) , and thesum ...

Página 131

And proceeding in the same way from

derived

A B C , and one of its angles will not be greater than am ; where m is of course a ...

And proceeding in the same way from

**triangle**to**triangle**, until we obtain the mihderived

**triangle**, then the sum of its angles will equal that of the given**triangle**A B C , and one of its angles will not be greater than am ; where m is of course a ...

Página 132

Since AB = DC , AC = CF , and the angle BAC equals the angle DCF , the

angles of any

angles at C ...

Since AB = DC , AC = CF , and the angle BAC equals the angle DCF , the

**triangles**A B C , C D F are identical ( Sim . , B . I ... 2 , since the sum of the threeangles of any

**triangle**is not greater than two right angles , and that the threeangles at C ...

Página 133

R ; consequently the angle D of the

= 2 R + m , which is impossible ; hence the sum of the angles of any

A B C , is greater than R + ER , as required . “ Prop . 4 . The sum of the angles of ...

R ; consequently the angle D of the

**triangle**EDG is not less than 4 R — R = 4 . R= 2 R + m , which is impossible ; hence the sum of the angles of any

**triangle**,A B C , is greater than R + ER , as required . “ Prop . 4 . The sum of the angles of ...

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Página 187 - To INCREASE KNOWLEDGE. It is proposed — 1. To stimulate men of talent to make original researches, by offering suitable rewards for memoirs containing new truths; and, — 2. To appropriate annually a portion of the income for particular researches, under the direction of suitable persons.

Página 188 - The volumes of the memoirs to be exchanged for the transactions of literary and scientific societies, and copies to be given to all the colleges and principal libraries in this country. One part of the remaining copies may be offered for sale ; and the other carefully preserved, to form complete sets of the work, to supply the demand from new institutions.

Página 191 - The emphasis upon publications as a means of diffusing knowledge was expressed by the first Secretary of the Smithsonian Institution. In his formal plan for the Institution, Joseph Henry articulated a program that included the following statement: "It is proposed to publish a series of reports, giving an account of the new discoveries in science, and of the changes made from year to year in all branches of knowledge not strictly professional.

Página 188 - ... 3. The results obtained from these appropriations to be published: with the memoirs before mentioned, in the volumes of the Smithsonian Contributions to Knowledge.

Página 345 - Map of the Mineral Lands adjacent to Lake Superior, ceded to the United States by the Treaty of 1842 with the Chippewas.

Página 191 - LITERATURE AND THE FINE ARTS. 9. Modern literature. 10. The fine arts, and their application to the useful arts. 11. Bibliography. 12. Obituary notices of distinguished individuals.

Página 29 - Such is the state of our language,' says Sheridan, a man certainly not prejudiced against his native tongue, ' that the darkest hieroglyphics, or most difficult ciphers that the art of man has hitherto invented, were not better calculated to conceal the sentiments of those...

Página 156 - On three several Hurricanes of the Atlantic, and their Relations to the Northers of Mexico and Central America, with Notices of other Storms.

Página 189 - Solution of experimental problems, such as a new determination of the weight of the earth, of the velocity of electricity and of light; chemical analyses of soils and plants; collection and publication of articles of science, accumulated in the offices of government.

Página 157 - FLS On the Growth of Plants in closely glazed Cases. 8vo. London, 1842. From the Author. Two hundred and ninety-sixth Meeting. May 25, 1847. — ANNUAL MEETING. The PRESIDENT in the chair. A communication was received, through Mr. Bowen, from Mr. John B. Williams, US Consul at Russell, Bay of Islands, New Zealand, being a meteorological register kept at that place, by Mr. Williams, as follows : — METEOROLOGICAL REGISTER Kept at Russell, New Zealand, from April 24/A, 1843, to Aug.