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 Seiten |
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Seite 11
... Angle BAC is equal to the Angle EDF . For , if the Triangle ABC be applied to the Tri- angle DEF , so that the Point B may co - incide with E , and the Right Line BC with EF , then the Point C will co - incide with F , because BC is ...
... Angle BAC is equal to the Angle EDF . For , if the Triangle ABC be applied to the Tri- angle DEF , so that the Point B may co - incide with E , and the Right Line BC with EF , then the Point C will co - incide with F , because BC is ...
Seite 14
... Angle CHG is equal to the Angle CHE ; and they are adjacent Angles . But when a Right Line , standing upon another ... ABC , and the two Angles DBA , ABC , are equal to the three Angles DBE , EBA , ABC , toge- ther . But it has ...
... Angle CHG is equal to the Angle CHE ; and they are adjacent Angles . But when a Right Line , standing upon another ... ABC , and the two Angles DBA , ABC , are equal to the three Angles DBE , EBA , ABC , toge- ther . But it has ...
Seite 15
... Angles D BA , ABC , together ; but CBE , EBD , are two Right Angles . Therefore the Angles DBA , ABC , are both together equal to two Right Angles . Wherefore , when a Right Line , standing upon another Right Line , makes Angles , these ...
... Angles D BA , ABC , together ; but CBE , EBD , are two Right Angles . Therefore the Angles DBA , ABC , are both together equal to two Right Angles . Wherefore , when a Right Line , standing upon another Right Line , makes Angles , these ...
Seite 17
... Triangle be produced , the out- ward Angle is greater than either of the inward opposite Angles . LET ABC be a Triangle , and one of its Sides BC be produced to D. I fay , the outward An gle ACD is greater than either of the inward Angles ...
... Triangle be produced , the out- ward Angle is greater than either of the inward opposite Angles . LET ABC be a Triangle , and one of its Sides BC be produced to D. I fay , the outward An gle ACD is greater than either of the inward Angles ...
Seite 18
... Angle ACD of the * 16 of this . Triangle A B C is greater * than the inward oppofite Angle A BC ; if the common Angle ACB be added , the Angles ACD , ACB , together , will be greater than the Angles ABC , ACB , together : But ACD , † 13 ...
... Angle ACD of the * 16 of this . Triangle A B C is greater * than the inward oppofite Angle A BC ; if the common Angle ACB be added , the Angles ACD , ACB , together , will be greater than the Angles ABC , ACB , together : But ACD , † 13 ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
alfo alſo equal Altitude Angle ABC Angle BAC Bafe becauſe biſected Centre Circle ABCD Circle EFGH Circumference Cofine Cone conſequently Coroll Cylinder demonftrated deſcribed Diameter Diſtance drawn thro equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fimilar fince firſt folid Parallelepipedon fore fubtending given Right Line greater join leſs likewiſe Logarithm Magnitudes Meaſure Number oppofite parallel Parallelogram perpendicular Polygon Priſm Prop PROPOSITION Pyramid Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line A B Right-lined Figure ſame ſay ſecond Segment Semicircle ſhall be equal Sides ſince Sine ſome Sphere Square ſtand Subtangent THEOREM thereof theſe thoſe three Right Lines tiple Triangle ABC Unity Vertex the Point Wherefore whole whoſe Baſe
Beliebte Passagen
Seite 193 - 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.
Seite 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.
Seite 168 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Seite 18 - ... 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...
Seite 52 - 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.
Seite 121 - 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...
Seite 213 - 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...
Seite 194 - 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.
Seite 159 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Seite 205 - 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...