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 |
Dentro del libro
Resultados 1-5 de 50
Página 10
... Equi- angular . PROPOSITION VI . THEOREM . If two Angles of a Triangle be equal , then the Sides fubtending the equal Angles will be equal be- tween themselves . ET ... Equiangular Triangle is alfo E- quilateral Book I. Euclid's ELEMENTS . 9.
... Equi- angular . PROPOSITION VI . THEOREM . If two Angles of a Triangle be equal , then the Sides fubtending the equal Angles will be equal be- tween themselves . ET ... Equiangular Triangle is alfo E- quilateral Book I. Euclid's ELEMENTS . 9.
Página 10
... Equiangular Triangle is alfo E- quilateral . PROPOSITION VII . THEOREM . On the fame Right Line cannot be constituted two Right Lines equal to two other Right Lines , each to each , at different Points , on the fame Side , and having ...
... Equiangular Triangle is alfo E- quilateral . PROPOSITION VII . THEOREM . On the fame Right Line cannot be constituted two Right Lines equal to two other Right Lines , each to each , at different Points , on the fame Side , and having ...
Página 42
... equiangular , For because the Right Line AD falls upon the Parallels AB , DE , the An- † 29 of this gles BAD , ADE , are + equal to two Right Angles . But BAD is a Right Angle : Wherefore ADE is also a Right Angle ; but the oppofite ...
... equiangular , For because the Right Line AD falls upon the Parallels AB , DE , the An- † 29 of this gles BAD , ADE , are + equal to two Right Angles . But BAD is a Right Angle : Wherefore ADE is also a Right Angle ; but the oppofite ...
Página 102
... equiangular to the Triangle DEF , and is defcribed in the Circle ABC ; which was to be done . PROPOSITION III . PROBLEM . About a given Circle to defcribe a Triangle , equi- angular to a Triangle given . ET ABC be the given Circle , and ...
... equiangular to the Triangle DEF , and is defcribed in the Circle ABC ; which was to be done . PROPOSITION III . PROBLEM . About a given Circle to defcribe a Triangle , equi- angular to a Triangle given . ET ABC be the given Circle , and ...
Página 106
... equiangular . For because GBEA is * Parallelogram , and AEB is a Right Angle , then AGB fhall be alfo a Right Angle . In like manner we demonstrate , that the Angles at the Points H , K , F , are Right Angles . Therefore the ...
... equiangular . For because GBEA is * Parallelogram , and AEB is a Right Angle , then AGB fhall be alfo a Right Angle . In like manner we demonstrate , that the Angles at the Points H , K , F , are Right Angles . Therefore the ...
Otras ediciones - Ver todas
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.