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
... Right Angles are equal between themselves . XII . If a Right Line , falling upon two other Right Lines , makes the inward Angles on the fame Side thereof , both together , less than two Right Angles , thofe two Right Lines , infinitely ...
... Right Angles are equal between themselves . XII . If a Right Line , falling upon two other Right Lines , makes the inward Angles on the fame Side thereof , both together , less than two Right Angles , thofe two Right Lines , infinitely ...
Página 11
... Right Angles to a given Right Line , from a given Point in the fame . L ' ET AB be the given Right Line , and C the given Point . It is required to draw a Right Line from the Point C , at Right Angles to AB . * Affume any Point D in AC ...
... Right Angles to a given Right Line , from a given Point in the fame . L ' ET AB be the given Right Line , and C the given Point . It is required to draw a Right Line from the Point C , at Right Angles to AB . * Affume any Point D in AC ...
Página 12
... Angle CHE ; and they are adjacent Angles . But when a Right Line , ftanding upon another Right Line , makes the Angles equal between themselves , each of the equal Angles * Def . 10. is a Right one * , and the said standing Right Line ...
... Angle CHE ; and they are adjacent Angles . But when a Right Line , ftanding upon another Right Line , makes the Angles equal between themselves , each of the equal Angles * Def . 10. is a Right one * , and the said standing Right Line ...
Página 13
... Right Angles . Therefore the Angles DBA , ABC , are both together equal to two Right Angles . Wherefore when a Right Line , ftanding upon another Right Line , makes Angles , thefe fhall be either two Right Angles , or together equal to ...
... Right Angles . Therefore the Angles DBA , ABC , are both together equal to two Right Angles . Wherefore when a Right Line , ftanding upon another Right Line , makes Angles , thefe fhall be either two Right Angles , or together equal to ...
Página 14
... Right Lines mutually cut each other , the oppofite Angles are equal . LET the two Right Lines AB , CD mutually cut each other in the Point E. I say , the Angle AEC is equal to the Angle DEB ; and the Angle CEB equal to the Angle Ă ED ...
... Right Lines mutually cut each other , the oppofite Angles are equal . LET the two Right Lines AB , CD mutually cut each other in the Point E. I say , the Angle AEC is equal to the Angle DEB ; and the Angle CEB equal to the Angle Ă ED ...
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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.