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 10
... of the Vertical Angles , or Bafes , according as the Perpendicular falls { within shall be the fought Angle or Side ; without and that it is known whether the Perpendicu- lar I falls within o the given Angl 1re they fo Mr. CUNN'S PREFACE .
... of the Vertical Angles , or Bafes , according as the Perpendicular falls { within shall be the fought Angle or Side ; without and that it is known whether the Perpendicu- lar I falls within o the given Angl 1re they fo Mr. CUNN'S PREFACE .
Seite 10
... shall be equal to BA : but CA hath been proved to be equal to AB ; there- fore both CA and CB are each equal to AB . But Things equal to one and the fame Thing , are equal between themselves , and confequently CA is equal to CB ...
... shall be equal to BA : but CA hath been proved to be equal to AB ; there- fore both CA and CB are each equal to AB . But Things equal to one and the fame Thing , are equal between themselves , and confequently CA is equal to CB ...
Seite 10
... shall be equal to the Bafe of the other , the whole Triangle equal to the whole Triangle , and the remaining Angles of one equal to the remaining Angles of the other , each to each , which fubtend the equal Sides . ET the two Triangles ...
... shall be equal to the Bafe of the other , the whole Triangle equal to the whole Triangle , and the remaining Angles of one equal to the remaining Angles of the other , each to each , which fubtend the equal Sides . ET the two Triangles ...
Seite 24
... shall be alfo equal to the remaining Sides of the other , each to his correfpondent Side , and the remaining Angle of the one equal to the remaining Angle of the other . ET there be two Triangles A B C , DEF , hav- ing two Angles ABC ...
... shall be alfo equal to the remaining Sides of the other , each to his correfpondent Side , and the remaining Angle of the one equal to the remaining Angle of the other . ET there be two Triangles A B C , DEF , hav- ing two Angles ABC ...
Seite 38
... shall be double to the Triangle EBC . If , therefore , a Parallelogram and Triangle have both the fame Bafe , and are between the fame Parallels , the Parallelogram will be double to the Triangle ; which was to be demonftrated ...
... shall be double to the Triangle EBC . If , therefore , a Parallelogram and Triangle have both the fame Bafe , and are between the fame Parallels , the Parallelogram will be double to the Triangle ; which was to be demonftrated ...
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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.