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 |
Im Buch
Ergebnisse 1-5 von 49
Seite 37
... since the Diameter A C bisects it . Wherefore likewise it shall be † double to the Tri- † Ax . 6 . angle E BC . If , therefore , a Parallelogram and Tri- angle have both the fame Base , and are between the fame Parallels , the ...
... since the Diameter A C bisects it . Wherefore likewise it shall be † double to the Tri- † Ax . 6 . angle E BC . If , therefore , a Parallelogram and Tri- angle have both the fame Base , and are between the fame Parallels , the ...
Seite 38
... since the Triangle BEK is equal to the Triangle BGK , and the Triangle HDK to DFK , the Triangle BEK , together with the Triangle HD K , is equal to the Triangle BGK , together with the Triangle DFK . But the whole Triangle ABD is ...
... since the Triangle BEK is equal to the Triangle BGK , and the Triangle HDK to DFK , the Triangle BEK , together with the Triangle HD K , is equal to the Triangle BGK , together with the Triangle DFK . But the whole Triangle ABD is ...
Seite 48
... since B E is equal to A B. Where- fore the Rectangle under A B and A C , together with the Rectangle under AB and BC , is equal to the Square of A B. Therefore , if a Right Line be any how divided , the Rectangles contained under the ...
... since B E is equal to A B. Where- fore the Rectangle under A B and A C , together with the Rectangle under AB and BC , is equal to the Square of A B. Therefore , if a Right Line be any how divided , the Rectangles contained under the ...
Seite 49
... since the * Side B A is equal to the Side AD . Wherefore the Angle CGB is equal to the Angle GBC ; and fo the Side BC equal † to the Side CG ; but likewise † 6. 1 . the Side C B is ‡ equal to the Side GK , and the Side 1 34.1 . CG to BK ...
... since the * Side B A is equal to the Side AD . Wherefore the Angle CGB is equal to the Angle GBC ; and fo the Side BC equal † to the Side CG ; but likewise † 6. 1 . the Side C B is ‡ equal to the Side GK , and the Side 1 34.1 . CG to BK ...
Seite 56
... together , are double to the Square of AC ; +47.1 , but the Square of EA is † equal to the Squares of A C , A C , and C E , together , since. $ 5.1 . * Cor . 3 . 32. 1 . † 29. 1 . 16. 1 . of this . 10. 1 . 56 Euclid's ELEMENTS . Book II .
... together , are double to the Square of AC ; +47.1 , but the Square of EA is † equal to the Squares of A C , A C , and C E , together , since. $ 5.1 . * Cor . 3 . 32. 1 . † 29. 1 . 16. 1 . of this . 10. 1 . 56 Euclid's ELEMENTS . Book II .
Andere Ausgaben - Alle anzeigen
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...