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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 11
... leffer . LET AB and C be the two unequal Right Lines given , the greater whereof is AB ; it is required to cut off a Line from the greater A B equal to the lefler C. Put * * 2 of this . + Pot . 3 . a Right Line AD at the Point A , equal ...
... leffer . LET AB and C be the two unequal Right Lines given , the greater whereof is AB ; it is required to cut off a Line from the greater A B equal to the lefler C. Put * * 2 of this . + Pot . 3 . a Right Line AD at the Point A , equal ...
Σελίδα 18
... leffer ; for if it should , the Base B C would be f less than the Base EF ; but it is not . Therefore the Angle BAC is not less than the Angle EDF ; but it has likewife been proved not to be equal to it . Where- fore the Angle BAC is ...
... leffer ; for if it should , the Base B C would be f less than the Base EF ; but it is not . Therefore the Angle BAC is not less than the Angle EDF ; but it has likewife been proved not to be equal to it . Where- fore the Angle BAC is ...
Σελίδα 90
... leffer , equal to the leffer . LET ABC , DEF , be equal Circles , in which are the equal Right Lines BC , EF , which cut off the greater Circumferences BAC , EDF , and the leffer Circumferences BGC , EHF . I fay , the greater ...
... leffer , equal to the leffer . LET ABC , DEF , be equal Circles , in which are the equal Right Lines BC , EF , which cut off the greater Circumferences BAC , EDF , and the leffer Circumferences BGC , EHF . I fay , the greater ...
Σελίδα 92
... leffer Segment , greater than a Right Angle : Moreover , the Angle of a greater Segment is greater than a Right Angle ; ond the Angle of a leffer Segment is less than a Right Angle .. ** LET there be a Circle A B DC , whose Diameter is ...
... leffer Segment , greater than a Right Angle : Moreover , the Angle of a greater Segment is greater than a Right Angle ; ond the Angle of a leffer Segment is less than a Right Angle .. ** LET there be a Circle A B DC , whose Diameter is ...
Σελίδα 93
... leffer Segment , greater than a Right Angle : Moreover , the Angle of a greater Segment is greater than a Right Angle ; and the Angle of a leffer Segment is less than a Right An- gle ; which was to be demonftrated . PROPOSITION XXXII ...
... leffer Segment , greater than a Right Angle : Moreover , the Angle of a greater Segment is greater than a Right Angle ; and the Angle of a leffer Segment is less than a Right An- gle ; which was to be demonftrated . PROPOSITION XXXII ...
Άλλες εκδόσεις - Προβολή όλων
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 168 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 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.
Σελίδα 159 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Σελίδα 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...