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 77.
Σελίδα 11
... Parallels are fuch Right Lines , in the fame Plane , which , if infinitely produc'd both Ways , would never meet . POSTULATE S. IGRANT RANT that a Right Line may be drawn from any one Point to another . II . That a finite Right Line may ...
... Parallels are fuch Right Lines , in the fame Plane , which , if infinitely produc'd both Ways , would never meet . POSTULATE S. IGRANT RANT that a Right Line may be drawn from any one Point to another . II . That a finite Right Line may ...
Σελίδα xxvii
... parallel to C D. For if it be not parallel , A B and CD , produced towards B and D , or towards A and C , will meet : Now let them be produced towards B and D , and meet in the Point G. * Then the outward Angle A EF of the Triangle GEF ...
... parallel to C D. For if it be not parallel , A B and CD , produced towards B and D , or towards A and C , will meet : Now let them be produced towards B and D , and meet in the Point G. * Then the outward Angle A EF of the Triangle GEF ...
Σελίδα xxviii
... parallel between themselves . L ET the Right Line EF falling upon two Right Lines A B , CD , make the outward Angle EGB equal to the inward and oppofite Angle GHD ; or the inward Angles BGH , GHD , on the fame Side together equal to two ...
... parallel between themselves . L ET the Right Line EF falling upon two Right Lines A B , CD , make the outward Angle EGB equal to the inward and oppofite Angle GHD ; or the inward Angles BGH , GHD , on the fame Side together equal to two ...
Σελίδα xxix
... parallel Right Lines AB , CD . I fay , the alternate An- gles AGH , GHD , are equal between themselves ; the outward Angle E G B is equal to the inward one GHD , on the fame Side ; and the two inward ones , BGH , GHD , on the fame Side ...
... parallel Right Lines AB , CD . I fay , the alternate An- gles AGH , GHD , are equal between themselves ; the outward Angle E G B is equal to the inward one GHD , on the fame Side ; and the two inward ones , BGH , GHD , on the fame Side ...
Σελίδα xxx
... parallel to one and the fame Right Line , are alfo parallel between themselves . LET ET AB and CD be Right Lines , each of which is parallel to the Right Line EF . I fay , A B is alfo parallel to CD . For let the Right Line GK fall upon ...
... parallel to one and the fame Right Line , are alfo parallel between themselves . LET ET AB and CD be Right Lines , each of which is parallel to the Right Line EF . I fay , A B is alfo parallel to CD . For let the Right Line GK fall upon ...
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
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 169 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 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.
Σελίδα 161 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Σελίδα 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...