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 Seiten |
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Seite 9
... given us only parti- cular ones of their own . The firft of these which was omitted is here fupplied : And that which was corrupted is here restored * . And fince feveral Perfons to whom the Ele- ments of Geometry are of vast Use ...
... given us only parti- cular ones of their own . The firft of these which was omitted is here fupplied : And that which was corrupted is here restored * . And fince feveral Perfons to whom the Ele- ments of Geometry are of vast Use ...
Seite 10
... given and fought oppofite Parts , not only the aforementioned Authors , but all others that I have met with , have ... given without a juft Diftinction of these Va- rieties . For the Solution of these Cases fee my Directions at Pages 321 ...
... given and fought oppofite Parts , not only the aforementioned Authors , but all others that I have met with , have ... given without a juft Diftinction of these Va- rieties . For the Solution of these Cases fee my Directions at Pages 321 ...
Seite 10
... given Side ; or which is the fame thing , the falling of the 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 ...
... given Side ; or which is the fame thing , the falling of the 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 ...
Seite 10
... given Angles . Here they feem to have spoken as tho ' the Quæfitum was always determined , and never ambiguous ; for they have here determined whether the Perpendicular falls within or with- out , and thereby whether they are to take ...
... given Angles . Here they feem to have spoken as tho ' the Quæfitum was always determined , and never ambiguous ; for they have here determined whether the Perpendicular falls within or with- out , and thereby whether they are to take ...
Seite 10
... given finite Right Line A B ; which was to be done . PROPOSITION II . PROBLEM . At a given Point , to put a Right Line equal to a Right Line given . L ET the Point given be A , and the given Right Line BC ; it is required to put a Right ...
... given finite Right Line A B ; which was to be done . PROPOSITION II . PROBLEM . At a given Point , to put a Right Line equal to a Right Line given . L ET the Point given be A , and the given Right Line BC ; it is required to put a Right ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2014 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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...
Seite 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.
Seite 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Seite 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.
Seite 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.