## Proceedings of the American Academy of Arts and Sciences, Volumen1 |

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Página 130

Hence the angle C of the triangle ACE equals the sum of the two angles B and C

of the

ACE is equal to the angle A of the

...

Hence the angle C of the triangle ACE equals the sum of the two angles B and C

of the

**given**triangle ( A B C ) , and the sum of the angles A and E of the triangleACE is equal to the angle A of the

**given**triangle ( ABC ) ; . . the sum of the angles...

Página 131

And proceeding in the same way from triangle to triangle , until we obtain the

men derived triangle , then the sum of its angles will equal that of the

triangle A B C , and one of its angles will not be greater than 2m ; where m is of

course a ...

And proceeding in the same way from triangle to triangle , until we obtain the

men derived 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 2m ; where m is of

course a ...

Página 134

No triangle can exist such that the sum of its angles shall be less than any

angle ; or such that the sum of its angles shall equal an infinitesimal angle . For ,

if possible , let A B C be such a triangle ; then , since the sum A of its angles is ...

No triangle can exist such that the sum of its angles shall be less than any

**given**angle ; or such that the sum of its angles shall equal an infinitesimal angle . For ,

if possible , let A B C be such a triangle ; then , since the sum A of its angles is ...

Página 135

any

sides A C and A B must coincide very nearly with the side C B , and .. since AC

and A B lie in opposite directions they cannot possibly come near to coincidence

...

any

**given**angle . Hence , since the angles C and B are infinitesimal angles , thesides A C and A B must coincide very nearly with the side C B , and .. since AC

and A B lie in opposite directions they cannot possibly come near to coincidence

...

Página 301

400 , which , for the sake of wider dissemination , is herewith

subjoined note . * A gold medal of 20 ducats ' value was offered by the

predecessor of the late king of Denmark to the discoverer of a telescopic comet .

This foundation ...

400 , which , for the sake of wider dissemination , is herewith

**given**in thesubjoined note . * A gold medal of 20 ducats ' value was offered by the

predecessor of the late king of Denmark to the discoverer of a telescopic comet .

This foundation ...

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### Términos y frases comunes

Academy alpine angle apoth Apothecia appears Aquarii Aquilæ Arctic America Arietis Author base becoming blast Bond branches breezes Cancri Capricorni Ceti comet common cone crust D's 1st Limb D's 2d Limb Date diameter Diff direction disk distance districts earth elevated England entire equal exciple fertile Geminorum given greater Halsey Herb Hook inches initial laciniæ language length Leonis less Libræ Lich Lichen Lichenogr light lobes margin mean Meeting Meridian Passage motion Muhl naked Name of Object nearly Neptune observations Ophiuchi orbit Orionis pale Pegasi Pennsylvania Piscium planet plate podetia present produced Professor rain referred represent Rich Rocks rounded Sagittarii Schær Scorpii side smooth sounds species star stones Tabu Tauri thalline thallus thin tion triangle Trunks tube Tuckerm Uranus ver's Virginis York

### Pasajes populares

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 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 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 194 - Regents is a sufficient warrant for the prudence and good judgment which will watch over the general interests of the foundation; while the reputation of the Secretary and his assistant, the Librarian, is so well established in their respective departments, as to render any tribute from the committee entirely superfluous. All which is respectfully submitted by the committee. JAKED SPARKS. EDWAED EVERETT, (Chairman.) BENJAMIN PEIBCK. HENRY "W. LONGFELLOW. ABA GRAY. December 4th, 1847.

Página 188 - Each memoir presented to the Institution to be submitted for examination to a commission of persons of reputation for learning in the branch to which the memoir pertains; and to be accepted for publication only in case the report of this commission is favorable.

Página 33 - Etymologies are at present very uncertain; but such as they are, the old books would still preserve them, and etymologists would there find them. Words in the course of time change their meanings, as well as their spelling and pronunciation, and we do not look to etymology for their present meanings. If I should call a man a knave and a villain, he would hardly be satisfied with my telling him, that one of the words originally signified only a lad or servant; and the other an under-ploughman, or...

Página 29 - It is really deplorable,' as Sir William Jones, speaking of our alphabet, says, ' that our first step from total ignorance should be into gross inaccuracy, and that we should begin our education in English with learning to read the five vowels, two of which, as we are taught to pronounce them, are clearly diphthongs.'— Works, 1st ed., Vol.