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 100.
Σελίδα 11
... equal to one and the fame Thing , are equal to one another . II . If to equal Things are added equal Things , the Wholes will be equal . III . If from equal Things equal Things be taken away , the Remainders will be equal . IV . If equal ...
... equal to one and the fame Thing , are equal to one another . II . If to equal Things are added equal Things , the Wholes will be equal . III . If from equal Things equal Things be taken away , the Remainders will be equal . IV . If equal ...
Σελίδα 11
... equal to the Whole DG , the Parts whereof DA and DC are equal ; therefore the Remainders Ax . 3. AL , CG , are alfo equal t . But it has been demon- ftrated , that BC is equal to CG ; wherefore both A L and BC are each of them equal to ...
... equal to the Whole DG , the Parts whereof DA and DC are equal ; therefore the Remainders Ax . 3. AL , CG , are alfo equal t . But it has been demon- ftrated , that BC is equal to CG ; wherefore both A L and BC are each of them equal to ...
Σελίδα 11
... equal to two Sides of the other , each to each , and the Angle contained by thofe equal Sides in one Triangle equal to the Angle contained by the correfpondent Sides in the other Triangle ; then the Bafe of one of the Triangles fhall be ...
... equal to two Sides of the other , each to each , and the Angle contained by thofe equal Sides in one Triangle equal to the Angle contained by the correfpondent Sides in the other Triangle ; then the Bafe of one of the Triangles fhall be ...
Σελίδα 11
... equal to them , viz . the Angle ABC equal to the Angle DEF , and the Angle ACB equal to the Angle DFE ; which was to be demonftrated . PROPOSITION V. THEOREM . The Angles at the Bafe of an Ifofceles Triangle are equal between themselves ...
... equal to them , viz . the Angle ABC equal to the Angle DEF , and the Angle ACB equal to the Angle DFE ; which was to be demonftrated . PROPOSITION V. THEOREM . The Angles at the Bafe of an Ifofceles Triangle are equal between themselves ...
Σελίδα 11
... equal to the remaining Angles of the other , each to each , which fubtend the equal Sides . And fo the An- gle FBC is equal to the Angle GCB ; and the Angle BCF equal to the Angle CBG . Therefore , because the whole Angle ABG has been ...
... equal to the remaining Angles of the other , each to each , which fubtend the equal Sides . And fo the An- gle FBC is equal to the Angle GCB ; and the Angle BCF equal to the Angle CBG . Therefore , because the whole Angle ABG has been ...
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...