Spherical trigonometryJ. Noon, 1736 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 10
... then afterwards more remote in D ; By 21 Prop . 1 Lib . Euclid . the Angle AC B , is greater than the Angle ADB ; confequently , the Angles САВ , СВА , E F are are less than the Angles DAB , DBA ; Wherefore 10 Theorems ferving to the.
... then afterwards more remote in D ; By 21 Prop . 1 Lib . Euclid . the Angle AC B , is greater than the Angle ADB ; confequently , the Angles САВ , СВА , E F are are less than the Angles DAB , DBA ; Wherefore 10 Theorems ferving to the.
Σελίδα 11
Benjamin Martin. are less than the Angles DAB , DBA ; Wherefore the Rays of Light DA , DB , approach nearer the Perpendiculars E A , FB , than do the first Rays CA , C B. Suppose at an infinite Distance be removed the Point , or Eye D ...
Benjamin Martin. are less than the Angles DAB , DBA ; Wherefore the Rays of Light DA , DB , approach nearer the Perpendiculars E A , FB , than do the first Rays CA , C B. Suppose at an infinite Distance be removed the Point , or Eye D ...
Σελίδα 17
... less than it self ; except , laftly , when the longer Dia- meter is so far short'ned by the Projection , that it be equal to the fhorter Diameter , and then ' tis projected into a Circle . ' C. Demonftration . 1 Self - evidence is the ...
... less than it self ; except , laftly , when the longer Dia- meter is so far short'ned by the Projection , that it be equal to the fhorter Diameter , and then ' tis projected into a Circle . ' C. Demonftration . 1 Self - evidence is the ...
Σελίδα 31
... less than it . In the contiguous Semicircle F EG , let the given Right Line be CD , draw out the Rays Ec , Ed , paffing through the Extremities of the Lines , viz . C , D , and meet the Section of the Plane , produced each way , in c ...
... less than it . In the contiguous Semicircle F EG , let the given Right Line be CD , draw out the Rays Ec , Ed , paffing through the Extremities of the Lines , viz . C , D , and meet the Section of the Plane , produced each way , in c ...
Σελίδα 33
... less than it felf . Q , E. D. In the fame manner it is proved , that a Circle in the Contiguous Hemifphere , parallel to the Plane of Pro- jection , is projected into a Circle greater than it self . VOL . II . F THEO THEOREM V. Any ...
... less than it felf . Q , E. D. In the fame manner it is proved , that a Circle in the Contiguous Hemifphere , parallel to the Plane of Pro- jection , is projected into a Circle greater than it self . VOL . II . F THEO THEOREM V. Any ...
Περιεχόμενα
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 | |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Σελίδα 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.
Σελίδα 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Σελίδα 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Σελίδα 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.