Spherical trigonometryJ. Noon, 1736 |
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Resultados 1-5 de 44
Página 10
... C , 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.
... C , 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.
Página 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 ...
Página 13
... Wherefore all other Lines CF , DG , drawn perpendicular to the Line E H , or AB ; will fall within the Perpendiculars A E , and B H , and confequently the Line EH , is greater than the Line FG . 2 , E. D. Corollary . Hence a right Line ...
... Wherefore all other Lines CF , DG , drawn perpendicular to the Line E H , or AB ; will fall within the Perpendiculars A E , and B H , and confequently the Line EH , is greater than the Line FG . 2 , E. D. Corollary . Hence a right Line ...
Página 19
... Wherefore , as the Radius CD , : to the Co - fine of the Inclination CF ; :: fo is the Area of the Quadrant C G B , : to the Area of its Projection C F H. And fo is the Area of the whole Circle to its Pro- jection . 2 , E. D. CHA P. III ...
... Wherefore , as the Radius CD , : to the Co - fine of the Inclination CF ; :: fo is the Area of the Quadrant C G B , : to the Area of its Projection C F H. And fo is the Area of the whole Circle to its Pro- jection . 2 , E. D. CHA P. III ...
Página 34
... wherefore the Angle E NC = EHP . But ( by Euclid's Elements ) the Angle ENC = EDC . bra EDC . EAP Now because the Triangles EFM , ECD , are Equiangular ; therefore the Angles E FMFE HG . And the Angle E being common to both the ...
... wherefore the Angle E NC = EHP . But ( by Euclid's Elements ) the Angle ENC = EDC . bra EDC . EAP Now because the Triangles EFM , ECD , are Equiangular ; therefore the Angles E FMFE HG . And the Angle E being common to both the ...
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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.