Selected quad for the lemma: earth_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
earth_n account_v circle_n zone_n 16 3 14.2387 5 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A64224 Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor. Taylor, John, mathematician. 1687 (1687) Wing T534; ESTC R23734 190,995 514

There are 2 snippets containing the selected quad. | View lemmatised text

Horary Distance from the Meridian PROP. XXXII By knowing the Poles Altitude to find the Elevation of any fixed Star above the Horizon being due East or West This is the Analogy or Proportion As S. of the Poles Altitude To Radius or S. 90° So is S. of the Stars Declination To S. of the Stars Elevation above the Horizon at due East or West PROP. XXXIII To find out the Horizontal Parallax of the Moon The Analogy or Proportion As the Moons Distance from the Center of the Earth To the Earth's Semidiameter So is Radius or S. 90° So S. of the Moon 's Horizontal Parallax in that Distance PROP. XXXIV The Horizontal Parallax of the Moon being known to find her Parallax in any apparent Latitude This is the Analogy or Proportion As Radius or S. 90° To S. of the Moon 's Altitude So is S. of the Moon 's Horizontal Parallax To S. of the Parallax in that Altitude PROP. XXXV By knowing the Moon 's Place in the Ecliptick having little or no Latitude and her Parallax of Altitude to find the Parallaxes of her Longitude and Latitude First If the Moon be in the 90° of the Ecliptick she hath then no Parallax of Longitude and the Parallax of the Latitude is the very Parallax in that Altitude Secondly But if the Moon be not in the 90th Degree of the Ecliptick to find the Parallaxes of the Latitude and Longitude the Analogy or Proportion is 1. As Radius or S. 90° To T. of the V. of the Ecliptick and Horizon So is Sc. of the Moon 's Distance from the Ascendent or Descendent deg of the Ecliptick To Tc. of the Ecliptick's V with the Azimuth of the Moon AGAIN say 2. As the Radius or S. 90° To S. of that V. found So is the Parallax of the Moon 's Altitude To the Parallax of her Latitude sought LASTLY say 3. As the Radius or S. 90° 00 ' To Sc. of the former V. found So is the Parallax of the Moon 's Altitude To the Parallax of his Longitude sought which being added to the true Motion of the Moon if she be on the East part of the 90° of the Ecliptick Or from it to be deducted if she be on the West part of the 90° of the Ecliptick PROP. XXXVI How by knowing the Refraction of a Star to find his true Altitude For the speedy performance of which I have annexed this Table of Refractions of the Stars observed by Tycho Brabe a Nobleman of Denmark and a most famous Astronomer A Table of the Refraction of the Stars observed by Tycho Brabe Altitude Refraction o° 30 ' 00 1 21 30 2 15 30 3 12 30 4 11 00 5 10 00 6 9 00 7 8 15 8 6 45 9 6 00 10 5 30 11 5 00 12 4 30 13 4 00 14 3 30 15 3 00 16 2 30 17 2 00 18 1 15 19 0 30 20 0 00 The USE of which Table is thus EXAMPLE Suppose the Altitude of a Star were found by Observation to be 13° the correspondent Refraction is 4 ' 00 which substracted from 13° leaves 12° 56 ' which is the true Altitude CHAP. VII Of GEOGRAPHY GEOGRAPHY is an art Mathematical which sheweth how the Situations of Kingdoms Provinces Cities Towns Villages Forts Castles Mountains Woods Havens Rivers Creeks c. being on the Surface of the Terrestrial Globe may be described and designed in commensuration Analogical to Nature and Verity and most aptly to our view may be represented Ptolomy saith of Geography 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 That it is a description of all the known Earth imitated by writing and delineation with all other things belonging thereunto Of all which I shall say somewhat as to its Situation Commodity Customs c. concerning which Ovid saith Met. lib. 2. Terra viros Urbesque gerit frugesque ferasque Fluminaque haec super est Caeli fulgentis imago In English Thus. The Earth Men Towers Fruits Beasts and Rivers bears And over these are place'd the Heavenly Spheres SECT I. Of GEOGRAPHICAL Definitions 1. THE Globe of the Earth is a Spherical Body composed of Earth and Water and is divided into Continents Islands and Seas 2. A Continent is a great Quantity of Land not separated interlaced or divided by the Sea wherein are Kingdoms Principalities and Nations as EUROPE ASIA and AFRICA are one Continent and AMERICA is another 3. An Island is such a part of the Earth that is environed round with Water on every Side as the Isle of Great Britain Java Wight c. 4. A Peninsula is such a Tract of Land which being almost cut off from the Main Land and encompassed round with Water yet nevertheless is joyned unto the firm Land by some little Isthmus as Peloponesus Peruviana Taurica Cymtryca and Morea in the Levant 5. An Isthmus is a little narrow Neck of Land which joyneth the Peninsula unto the Continent 6. A Promontory is some high Mountain which shooteth it self into the Sea the utmost end of which is called a Cape as Cape-boon Esperance Cape d'Verde and Cape d'Coquibocao 7. The Ocean is a general Collection of Waters which environeth the World on every side and produceth Seas Straits Bays Lakes and Rivers Of which and other Waters Ovid thus speaks in his Metamorphosis Tum Freta diffudīt rapidisque tumescere ventis Jussit ambitae circundare littora terrae He spread the Seas which then he did command To swell with Winds and compass round the Land. 8. The Sea is part of the Ocean to which we cannot come but through some Strait as the Mediterranean or Baltick Sea. 9. A Strait is a part of the Ocean restrained within narrow bounds yet openeth a way to the Sea as the Straits of Gibralter Helespont c 10. A Creek is a crooked Shoar thrusting as it were two Armes forth to hold the Sea as the Adriatick Persian and Corinthian Creeks from whence are produced Rivers Brooks and Fountains which are engendred of Congealed Air in the Earths Concavity and seconded by Sea-water creeping through the hidden Cranies of the Earth 11. A Bay is a great Inlet of Land as the Bay of Mexico and Biscay 12. A Gulph is a greater Inlet of Land and deeper than a Bay as the Gulph of Venice and Florida 13. A Climate is a certain space of Earth and Sea included within the space of two Parallels and there have been anciently accounted these seven viz. 1. Dia Meros 2. Dia Syenes 3. Dia Alexandria 4. Dia Rhodes 5. Dia Rhomes 6. Dia Boristhenes and 7. Dia Ripheos 14. A Zone is a certain space of Earth contained betwixt certain Circles of the Sphere of which there are five viz. The Torrid or Burning Zone two Temperate and two Frigid or Frozen Zones The Torrid Zone is that which lieth on each side the Equinoctial whose bounds are the two Tropicks of ♋ and ♑ The two Temperate Zones are those which lieth betwixt the two Tropicks of ♋ and ♑ and the Palar Circles
opposite points Aries and Libra and maketh an Angle therewith called its Obliquity of 23° 30 ' represented by ♋ ♎ ♑ This Circle is divided into 12 Sines each containing 30° 00 ' As Aries ♈ Taurus ♉ Gemini ♊ Cancer ♋ Leo ♌ Virgo ♍ which are called Northern Sines Libra ♎ Scorpio ♏ Sagitarius ♐ Capricornus ♑ Aquarius ♒ and Pisces ♓ these are called Southern Sines 7. The Zodiack is a Zone or Girdle having 8 deg of Latitude on either side the Ecliptick in which space the Planets make their revolution This Circle is a Circle which regulates the Years Months and Seasons and is distinguished in the Scheme by the 12 Sines 8. The Colures are two Meridians dividing the Ecliptick and the Equinoctial into four equal parts one of which passeth by the Equinoctial points Aries and Libra and is called the Equinoctial Colure as P ♎ S. The other by the beginning of Cancer and Capricorn and is called the Solstitial Colure as P ♋ S ♑ 9. The Poles of the Ecliptick are two points 23° 30 ' distant from the Poles of the World as I and K. 10. The Tropicks are two small Circles Parallel unto the Equinoctial and distant therefrom 23° 30 ' limiting the Sun's greatest declination The Northern Tropick passeth by the beginning of Cancer and is therefore called the Tropick of Cancer as ♋ a D. The Southern Tropick passeth by the beginning of Capricorn and is therefore called the Tropick of Capricorn as B b ♑ 11. The Polar Circles are two small Circles parrallel to the Equinoctial and distant therefrom 66° 30 ' and from the Poles of the World 23° 30 ' That which is adjacent unto the North Pole is called the Artick Circle as G d I. and the other the Antartick Circle as Kd M. 12. The Zenith and the Nadir are two points Diametrically opposite the one to the other the Zenith is the Vertical point or the point over our heads as Z The Nadir is opposite thereto as the point N. 13. The Azimuths or Vertical Circles are great Circles of the Sphere concurring and intersecting each other in the Zenith and Nadir as Z f N. 14 The Horizon is a great Circle 90 deg distant from the Zenith and Nadir cutting all the Azimuths at Rightangles and dividing the World into two equal parts the upper and visible Hemisphere and the lower and invisible Hemisphere represented by H ♎ R. 15. The Meridian of a Place is that Meridian which passeth by the Zenith and Nadir of the place as P Z S N. 16. The Alinicanthars or Parallels of Altitude are small Circles parrallel unto the Horizon imagined to ●pass through every degree and minute of the Meridian between the Zenith and Horizon B a F. 17. Parallels of Latitude or Declination are small Circles parallel unto the Equinoctial they are called Parallels of Latitude in respect to any place on the Earth and Parallels of Declination in respect of the Sun or Stars in the Heavens 18. The Latitude of a place is the height of the Pole above the Horizon or the distance between the Zenith and the Equinoctial 19. The Latitude of a Star is the Arch of a Circle contained betwixt the Center of a Star and the Ecliptick line this Circle making Right-angles with the Ecliptick is accounted either Northward or Southward according to the Scituation of the Star. 20. Longitude on Earth is measured by an Arch of the Equinoctial contained between the Primary Meridian or Meridian of that place where Longitude is assigned to begin and the Meridian of any other place counted always Easterly 21. The Longitude of a Star is that part of the Ecliptick which is contained between the Star's place in the Ecliptick and the beginning of Aries counting them according unto the succession of Sines 22. The Altitude of the Sun or Stars is the Arch of an Azimuth contained betwixt the Center of the Sun or Star and the Horizon 23. Ascension is the rising of any Star or part of the Equinoctial to any degree above the Horizon and Descension is the setting of it 24. Right Ascension is the number of Degrees and Minutes of the Equinoctial i. e. from the beginning of Aries which cometh unto the Meridian with the Sun or Stars or with any portion of the Ecliptick 25. Oblique-Ascension is an Arch of the Equinoctial between the beginning of Aries and that part of the Equinoctial which riseth with the Center of a Star or with any portion of the Ecliptick in an Oblique Sphere and Oblique Descention is that part of the Equinoctial tha● setteth therewith 26. The Ascentional difference is an Arch of the Equinoctial being the difference betwixt the Right and Oblique-Ascension 27. The Amplitude of the Sun or Stars is the distance of the rising or setting thereof from the East or West point of the Horizon 28. The Parallax is the difference between the true and apparent place of the Sun or Star so the true place in respect of Altitude is in the line ACE or ADG the Sun or Star being at C or D and the apparent place in the Line BCF and BDH so likewise the Angles of the Parallax are ACB or ECF and ADB or GDB also in the said Scheme ABK representeth a Quadrent of the Globe or Earth on the Earth's Superficies A the Center of the Earth and B any point of the Earth's Surface 29. The Refraction of a Star is caused by the Atmosphere or Vapourous thickness of the Air near the Earth's Superficies whereby the Sun and Stars seem always to rise sooner and and set later than really they do SECT II. Of Astronomical Propositions PROP. I. The Distance of the Sun from the next Equinoctial point either Aries or Libra being known to find his Declination THE Analogy or Proportion As Radius or S. 90° To S. of the Sun's distance from the next Equinoctial point So it S. of the Sun 's greatest Declination To the S. of the Sun 's present Declination sought PROP. II. The Sun's place given to find his Right-Ascension This is the Analogy or Proportion As Radius or S. 90° To T. of the Sun's Longitude from the next Equinoctial point So is the Sc. of his greatest Declination To T. of his Right-Ascension from the next Equinoctial point PROP. III. To find the Sun's place or longitude from Aries his Declination being given This is the Analogy or Proportion As S. of the Suns greatest Declination To Radius or S. 90° 00 ' So is S. of his present Declination To S. of the Suns Place or Longitude from Aries PROP. IV. By knowing the Suns Declination to find his Right Ascension This is the Analogy or Proportion As Radius or S. 90° To Tc. of the Suns greatest Declination So is T. of the Declination given To S. of the Suns right Ascension required PROP. V. By knowing the Latitude of a Place and the Suns Declination to find the Ascensional