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
... Whence the Right Line AL is put at the given Point A , equal to the given Right Line B C , which was to be done . PROPOSITION III . PROBLEM . Two unequal Right Lines being given , to cut off a Part from the greater Equal to the Leffer ...
... Whence the Right Line AL is put at the given Point A , equal to the given Right Line B C , which was to be done . PROPOSITION III . PROBLEM . Two unequal Right Lines being given , to cut off a Part from the greater Equal to the Leffer ...
Página 23
... Whence BC is likewife greater than EF . Therefore if two Triangles have two Sides of the one , equal to two Sides of the other , each to each , and the Angle of the one , contained under the equal Right Lines , greater than the ...
... Whence BC is likewife greater than EF . Therefore if two Triangles have two Sides of the one , equal to two Sides of the other , each to each , and the Angle of the one , contained under the equal Right Lines , greater than the ...
Página 25
... Triangle AHC , is equal to the inward and oppofite Angle BCA ; which is impoffible : 16 of this Whence BC is not unequal to EF , therefore it is Ç 4 equal equal to it . But AB is alfo equal to Book I. Euclid's ELEMENTS . 25.
... Triangle AHC , is equal to the inward and oppofite Angle BCA ; which is impoffible : 16 of this Whence BC is not unequal to EF , therefore it is Ç 4 equal equal to it . But AB is alfo equal to Book I. Euclid's ELEMENTS . 25.
Página 29
... whence AB is parallel to CDt . And fo Right Lines parallel to one and the † 27 of this fame Right Line , are parallel between themselves ; which was to be demonftrated . PROPOSITION XXXI . PROBLEM . To draw a Right Line thro ' a given ...
... whence AB is parallel to CDt . And fo Right Lines parallel to one and the † 27 of this fame Right Line , are parallel between themselves ; which was to be demonftrated . PROPOSITION XXXI . PROBLEM . To draw a Right Line thro ' a given ...
Página 136
... Whence , as C is to F , fo fhall A B be to DE . Therefore , Parts have the fame Proportion as their like Multi- ples , if taken correfpendently ; which was to be demon- ftrated . PRO- PROPOSITION XVI . THEORE M. If four Magnitudes of ...
... Whence , as C is to F , fo fhall A B be to DE . Therefore , Parts have the fame Proportion as their like Multi- ples , if taken correfpendently ; which was to be demon- ftrated . PRO- PROPOSITION XVI . THEORE M. If four Magnitudes of ...
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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.