Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms; Likewise Another of the Elements of Plain and Spherical Trigonometry; with a Preface...Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 - 397 páginas |
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Página 10
... Perpendicular , which is undoubtedly the short- est and best Method for finding either of these Quæfita , have told us , that the Difference } of the Vertical Angles , or Bafes , fhall be the fought Angle or Side , according as the ...
... Perpendicular , which is undoubtedly the short- est and best Method for finding either of these Quæfita , have told us , that the Difference } of the Vertical Angles , or Bafes , fhall be the fought Angle or Side , according as the ...
Página 10
... Perpendicular within or without . For which see my Directions at Pages 324 , 325 . In the Solution of our 1ft and 5th Cafes , called in other Authors , the 5th and 6th ; where there are given two Angles , and a Side opposite to one of ...
... Perpendicular within or without . For which see my Directions at Pages 324 , 325 . In the Solution of our 1ft and 5th Cafes , called in other Authors , the 5th and 6th ; where there are given two Angles , and a Side opposite to one of ...
Página 10
... Perpendicular falls within or with- out , and thereby whether they are to take the Sum or the Difference of the Vertical Angles or Bases for the fought Angle or Side . But notwithstanding thefe imaginary De- terminations , I affirm ...
... Perpendicular falls within or with- out , and thereby whether they are to take the Sum or the Difference of the Vertical Angles or Bases for the fought Angle or Side . But notwithstanding thefe imaginary De- terminations , I affirm ...
Página 10
... Perpendicular to that whereon it stands . XI . An Obtufe Angle , is that which is greater than a Right one . XII . An Acute Angle is that which is less than a Right one . XIII . A Term ( or Bound ) is that which is the Ex- treme of any ...
... Perpendicular to that whereon it stands . XI . An Obtufe Angle , is that which is greater than a Right one . XII . An Acute Angle is that which is less than a Right one . XIII . A Term ( or Bound ) is that which is the Ex- treme of any ...
Página 11
... perpendicular , upon a given infinite Right Line , from a Point given out of it . ET AB be the given infinite Line , and C the Point given out of it . It is requir'd to draw a Right Line perpendicular upon the given Right Line AB , from ...
... perpendicular , upon a given infinite Right Line , from a Point given out of it . ET AB be the given infinite Line , and C the Point given out of it . It is requir'd to draw a Right Line perpendicular upon the given Right Line AB , from ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Sin vista previa disponible - 2014 |
Términos y frases comunes
adjacent Angles alfo equal alſo Angle ABC Angle BAC Bafe Baſe becauſe bifected Center Circle ABCD Circumference Cofine Cone confequently Coroll Cylinder defcribed demonftrated Diameter Diſtance drawn thro EFGH equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fecond fhall be equal fimilar fince firft firſt folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs leſs likewife Logarithm Magnitudes Meaſure Number Parallelogram perpendicular Polygon Priſms Prop PROPOSITION Pyramid Pyramid ABCG Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line AC Right-lined Figure Segment ſhall Sine Solid Sphere Subtangent themſelves THEOREM theſe thofe thoſe Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whole whoſe Baſe
Pasajes populares
Página 66 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 163 - IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Página 112 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Página 90 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 22 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...
Página 10 - ... equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Página 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Página 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Página 113 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.