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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Σελίδα 9
... second Demon- stration of the 9th Proposition of the third Book ; and the other a Demonftration of that Property of Proportionals called Con- verfions ( contained in a Corollary to the 19th Propofition of the fifth Book ; ) where ...
... second Demon- stration of the 9th Proposition of the third Book ; and the other a Demonftration of that Property of Proportionals called Con- verfions ( contained in a Corollary to the 19th Propofition of the fifth Book ; ) where ...
Σελίδα 11
... Second Edition ; but probably , prevented from fo being , either by his Death , or some other Accident : All these Alterations have been carefully made , in this Edition , and several more Errors , even in that Edition which had escaped ...
... Second Edition ; but probably , prevented from fo being , either by his Death , or some other Accident : All these Alterations have been carefully made , in this Edition , and several more Errors , even in that Edition which had escaped ...
Σελίδα 63
... , viz . the Square of EН ; which was to be done . 1 : The END of the SECOND BOOK . EUCLI D's 1 EUCLID's ELEMENTS . BOOK III . DEFINITIONS . I. EQUAL Book II . Euclid's ELEMENTS . 63 E F, together with the Square of GE, ...
... , viz . the Square of EН ; which was to be done . 1 : The END of the SECOND BOOK . EUCLI D's 1 EUCLID's ELEMENTS . BOOK III . DEFINITIONS . I. EQUAL Book II . Euclid's ELEMENTS . 63 E F, together with the Square of GE, ...
Σελίδα 106
... second Figure ; and join A F. Then we prove , as before , that the Point F is the Centre of a Circle described about the Tri- angle ABC . Lastly , Let the Right Lines DF , EF , meet one another again in the Point F , without the ...
... second Figure ; and join A F. Then we prove , as before , that the Point F is the Centre of a Circle described about the Tri- angle ABC . Lastly , Let the Right Lines DF , EF , meet one another again in the Point F , without the ...
Σελίδα 118
... second , and the third to the fourth , when the Equimultiples of the first and third , compared with the Equimultiples of the Second and fourth , according to any Multipli- cation whatsoever , are either both together , greater , equal ...
... second , and the third to the fourth , when the Equimultiples of the first and third , compared with the Equimultiples of the Second and fourth , according to any Multipli- cation whatsoever , are either both together , greater , equal ...
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...