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 10
... common Solution of the 12th Cafe of Oblique Spherics is falfe , I have demonftrated , and given a true one . Page 318 . See In the Solution of our 9th and 10th Cafes , by our Authors called the 1ft and 2d , where are given and fought ...
... common Solution of the 12th Cafe of Oblique Spherics is falfe , I have demonftrated , and given a true one . Page 318 . See In the Solution of our 9th and 10th Cafes , by our Authors called the 1ft and 2d , where are given and fought ...
Σελίδα 11
... common , DB , BC , will be equal to AC , CB , each to each , and the Angle DBC equal to the Angle ACB , from the Hypothefis ; therefore the Bafe DC is equal to the Bafe A B , and 1 4 of this . the Triangle DBC equal to the Triangle ...
... common , DB , BC , will be equal to AC , CB , each to each , and the Angle DBC equal to the Angle ACB , from the Hypothefis ; therefore the Bafe DC is equal to the Bafe A B , and 1 4 of this . the Triangle DBC equal to the Triangle ...
Σελίδα 14
... common ; and Ax . 2. the two Angles CBE , EBD , together , are equal to the three Angles CBA , A BE , EBD , together . Again , because the Angle DBA is equal to the two . Angles D BE , E B A , together , add the common An- gle ABC , and ...
... common ; and Ax . 2. the two Angles CBE , EBD , together , are equal to the three Angles CBA , A BE , EBD , together . Again , because the Angle DBA is equal to the two . Angles D BE , E B A , together , add the common An- gle ABC , and ...
Σελίδα 15
... common Angle ABC , the remaining Angle ABE is equal to the remain- ing Angle ABD , the lefs to the greater , which is impoffible . Therefore BE , BC , are not one ftrait Line . And in the fame manner it is demonstrated , that no other ...
... common Angle ABC , the remaining Angle ABE is equal to the remain- ing Angle ABD , the lefs to the greater , which is impoffible . Therefore BE , BC , are not one ftrait Line . And in the fame manner it is demonstrated , that no other ...
Σελίδα 18
... common Angle A C B be added , the Angles ACD , ACB , together , will be greater than the Angles ABC , ACB , together : But ACD , +13 of this . A CB , are † equal to two Right Angles . Therefore ABC , BCA , are lefs than two Right Angles ...
... common Angle A C B be added , the Angles ACD , ACB , together , will be greater than the Angles ABC , ACB , together : But ACD , +13 of this . A CB , are † equal to two Right Angles . Therefore ABC , BCA , are lefs than two Right Angles ...
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...