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
... Circumference , and divides the Circle into two equal Parts . XVIII . A Semicircle , is a Figure contain❜d under a Diameter , and that Part of the Circumference of a Circle , cut off by that Diameter . XIX . A Segment of a Circle , is ...
... Circumference , and divides the Circle into two equal Parts . XVIII . A Semicircle , is a Figure contain❜d under a Diameter , and that Part of the Circumference of a Circle , cut off by that Diameter . XIX . A Segment of a Circle , is ...
Página 63
... Figure contained under a Right Line , and a Part of the Cir- cumference of a Circle . VII . An Angle of a Segment is that which is con- tained by a Right Line , and the Circumference of a Circle . VIII . An 63 # 10. I. † 11. 1 . VIII . An.
... Figure contained under a Right Line , and a Part of the Cir- cumference of a Circle . VII . An Angle of a Segment is that which is con- tained by a Right Line , and the Circumference of a Circle . VIII . An 63 # 10. I. † 11. 1 . VIII . An.
Página 64
... Circumference of the Circle , then the Angle is faid to stand upon that Cir cumference . X. A Sector of a Circle , is that Figure comprehended between the Right Lines drawn from the Center , and the Circumference contained between them ...
... Circumference of the Circle , then the Angle is faid to stand upon that Cir cumference . X. A Sector of a Circle , is that Figure comprehended between the Right Lines drawn from the Center , and the Circumference contained between them ...
Página 65
... Circumference of a Circle , the Right Line joining those two Points fball fall within the Circle . awo ET ABC be a Circle ; in the Circumference of which let any two Points A , B , be affumed . I fay , a Right Line drawn from the Point ...
... Circumference of a Circle , the Right Line joining those two Points fball fall within the Circle . awo ET ABC be a Circle ; in the Circumference of which let any two Points A , B , be affumed . I fay , a Right Line drawn from the Point ...
Página 69
... Circumference , on each Side of the leaft or greatest Lines . ET ABCD be a Circle , whofe Diameter is AD , Center of the Circle . Let the Center of the Circle be E ; and from the Point F let certain Right Lines FB , FC , FG , fall on ...
... Circumference , on each Side of the leaft or greatest Lines . ET ABCD be a Circle , whofe Diameter is AD , Center of the Circle . Let the Center of the Circle be E ; and from the Point F let certain Right Lines FB , FC , FG , fall on ...
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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.