Spherical trigonometryJ. Noon, 1736 |
Dentro del libro
Resultados 1-5 de 48
Página 2
... Right Lines , on the faid Plane . See the Schemes in the Orthographic Projection . V. The Stereographic Projection ... Line , in which the Plane of the Circle to be projected interfects the Plane of the Pro- jection , is called the Common ...
... Right Lines , on the faid Plane . See the Schemes in the Orthographic Projection . V. The Stereographic Projection ... Line , in which the Plane of the Circle to be projected interfects the Plane of the Pro- jection , is called the Common ...
Página 11
... right one : Confequently the Rays DA , DB , will differ infinitely little from E A , FB , the two Parallel Rays . Q , E.D. THEOREM II . A Point in the Surface of the Sphere ... Right Line , perpendicular to the Orthographic Projection . II.
... right one : Confequently the Rays DA , DB , will differ infinitely little from E A , FB , the two Parallel Rays . Q , E.D. THEOREM II . A Point in the Surface of the Sphere ... Right Line , perpendicular to the Orthographic Projection . II.
Página 12
... Right Line be C D , ' Tis evident , an Eye placed in R precisely over the Right Line CD , D B will perceive no more thereof , than what covers the Point D in the common Section AB ; Into which Point it is therefore projected . 2.E.D. ...
... Right Line be C D , ' Tis evident , an Eye placed in R precisely over the Right Line CD , D B will perceive no more thereof , than what covers the Point D in the common Section AB ; Into which Point it is therefore projected . 2.E.D. ...
Página 13
... right Line CD , will be projected into the right Line E F in the Plane of the Projection . 2 , E. D. THEOREM V. The Projection of any right Line is then greatest , when ' tis parallel to the Plane of the Projection . Demonftration . Let ...
... right Line CD , will be projected into the right Line E F in the Plane of the Projection . 2 , E. D. THEOREM V. The Projection of any right Line is then greatest , when ' tis parallel to the Plane of the Projection . Demonftration . Let ...
Página 14
Benjamin Martin. THEOREM VI . A Semicircle ftanding at right Angles with the Plane of the Projection , is projected into that right Line ( viz . its Diameter ) in which it cuts the faid Plane . Demonftration . Let the Semicircle be Ao B ...
Benjamin Martin. THEOREM VI . A Semicircle ftanding at right Angles with the Plane of the Projection , is projected into that right Line ( viz . its Diameter ) in which it cuts the faid Plane . Demonftration . Let the Semicircle be Ao B ...
Contenido
1 | |
2 | |
19 | |
25 | |
43 | |
49 | |
55 | |
103 | |
240 | |
246 | |
252 | |
258 | |
264 | |
275 | |
281 | |
294 | |
112 | |
124 | |
131 | |
138 | |
161 | |
166 | |
200 | |
208 | |
213 | |
221 | |
234 | |
297 | |
305 | |
316 | |
322 | |
325 | |
334 | |
341 | |
347 | |
353 | |
359 | |
366 | |
Términos y frases comunes
adjacent Angle alfo Altitude Analemma Analogy Arch Azimuth Bafe Baſe becauſe BIFH Cafe Center Chords Circles of Latitude Co-fine Co-tangent Colure Complement confequently Cufp Declination defcribe Degrees Demonftration Dial Diameter Diſtance draw E. D. THEOREM Eaft Ecliptic equal Equinoctial faid fame fhall fhew find the Angle find the Hypothenufe find the Leg find the Side firft firſt folving fuch fuppofe given the Side Globe greateſt half Sum Half-Tangent Horizon Hour-Lines Houſes Interfection laft Latitude leffer lefs Longitude meaſured Meridian muſt North Numbers Oblique Circle oppofite paffeth Parallel Perpendicular Plane recline Pofition Point Pole Prime Vertical Prob PROBLEM Projection Quadrant Radius Reclining Plane Right Afcenfion Right Line Right-angled Spherical Triangles Scheme Semicircle Sine Sine of half Sphere Spherical Angle Spherical Trigonometry Sun's Tangent of half thefe theſe thofe thoſe Tropic of Capricorn Weft Wherefore whofe
Pasajes populares
Página 75 - The three angles of a spherical triangle are together greater than two right angles and less than six right angles. Let A, B, C be the angles of a spherical triangle ; let a', b', o' be the sides of the polar triangle. Then by Art. 30, a...
Página 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 186 - The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles.
Página 186 - The cosine of half the sum of two angles of a spherical triangle is to the cosine of half their difference as the tangent of half the included side is to the tangent of half the sum of the other two sides.
Página 186 - The sine of half the sum of two angles of a spherical triangle is 'to the sine of half their difference as the tangent of half the included side is to the tangent of half the difference of the other two sides.
Página 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Página 5 - Equinoctial (counted from the beginning of Aries) which cometh to the Meridian with the Sun or Stars, or with any portion of the Eclyptick.
Página 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Página 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Página 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.