Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; with a Preface, Shewing the Usefulness and Excellency of this WorkW. Strahan, 1772 - 399 sider |
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Resultat 1-5 av 67
Side 11
... less than a Right one . XIII . A Term ( or Bound ) is that which is the Extreme of any Thing . XIV . A Figure is that which is contained under one or more Terms . XV . A Circle is a plain Figure , contained under one Line , called the ...
... less than a Right one . XIII . A Term ( or Bound ) is that which is the Extreme of any Thing . XIV . A Figure is that which is contained under one or more Terms . XV . A Circle is a plain Figure , contained under one Line , called the ...
Side 11
... less than two Right Angles , thofe two Right Lines , infinitely produc'd , will meet each other on that Side where the Angles are less than Right ones . Note , When there are feveral Angles at one Point , any one of them is exprefs'd by ...
... less than two Right Angles , thofe two Right Lines , infinitely produc'd , will meet each other on that Side where the Angles are less than Right ones . Note , When there are feveral Angles at one Point , any one of them is exprefs'd by ...
Side 17
... less than two Right Angles . ET ABC be a Triangle . I fay , two Angles- of it together , howsoever taken , are less than two Right Angles . C. For * For produce BC to D. Then , because the Book I. Euclid's ELEMENTS . 17.
... less than two Right Angles . ET ABC be a Triangle . I fay , two Angles- of it together , howsoever taken , are less than two Right Angles . C. For * For produce BC to D. Then , because the Book I. Euclid's ELEMENTS . 17.
Side 18
... less than two Right Angles . Therefore , two Angles of any Tri- angle together , bowfoever taken , are lefs than two Right Angles ; which was to be demonftrated . 1 PROPOSITION XVIII . THEOREM . The greater Side of every Triangle ...
... less than two Right Angles . Therefore , two Angles of any Tri- angle together , bowfoever taken , are lefs than two Right Angles ; which was to be demonftrated . 1 PROPOSITION XVIII . THEOREM . The greater Side of every Triangle ...
Side xix
... less than it . It is not equal to it , because then the Angle A B C would be equal to the Angle A CB ; 5 of this . but it is not : Therefore AC is not equal to A B. Neither will it be lefs ; for then the Angle ABC would be + less than ...
... less than it . It is not equal to it , because then the Angle A B C would be equal to the Angle A CB ; 5 of this . but it is not : Therefore AC is not equal to A B. Neither will it be lefs ; for then the Angle ABC would be + less than ...
Andre utgaver - Vis alle
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
A B C adjacent Angles alfo equal alſo Angle ABC Baſe becauſe bifected Centre Circle ABCD Circumference Cofine Cone confequently Coroll Cylinder defcribed demonftrated Diameter Diſtance drawn thro equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fecond fhall be equal fimilar fince firft folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs likewife Logarithm Magnitudes Meaſure Number oppofite parallel Parallelogram perpendicular Polygon Prifm Prop PROPOSITION Pyramid Quadrant Ratio Reafon Rectangle Rectangle contained remaining Angle Right Angles Right Line A B Right-lined Figure Segment ſhall Sides A B Sine Square Subtangent thefe THEOREM thofe thoſe tiple Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whoſe
Populære avsnitt
Side 195 - 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.
Side 165 - 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.
Side 169 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Side xxii - ... 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...
Side 54 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 123 - GB is equal to E, and HD to F; GB and HD together are equal to E and F together : wherefore as many magnitudes as...
Side 215 - CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram...
Side 196 - ABC, and they are both in the same plane, which is impossible ; therefore the straight line BC is not above the plane in which are BD and BE: wherefore, the three straight lines BC, BD, BE are in one and the same plane. Therefore, if three straight lines, &c.
Side 161 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Side 207 - A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. V. The inclination of a straight line to a plane...