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 75.
Σελίδα 11
... equal between themselves , each of these equal Angles is a Right one ; and that Right Line , which stands upon the other , is called a Per- pendicular to that whereon it stands . XI . An Obtuse Angle is that which is greater than a ...
... equal between themselves , each of these equal Angles is a Right one ; and that Right Line , which stands upon the other , is called a Per- pendicular to that whereon it stands . XI . An Obtuse Angle is that which is greater than a ...
Σελίδα 11
... equal thereto ; and the remaining + Ax . 8. Angles will co - incide with the remaining Angles † , and will be 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 ...
... equal thereto ; and the remaining + Ax . 8. Angles will co - incide with the remaining Angles † , and will be 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 ...
Σελίδα 11
... equal to the remaining Angles of the other , each to each , which fubtend the equal Sides . And so 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 so 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 ...
Σελίδα 13
... equal * to CD ; and_upon DE make † the Equilateral * 3 of this . Triangle FDE , and join FC . I fay , the Right Line FC is drawn from the Point C , given in the Right Line A B , at Right Angles to A B. 1 1 For , because D C is equal to ...
... equal * to CD ; and_upon DE make † the Equilateral * 3 of this . Triangle FDE , and join FC . I fay , the Right Line FC is drawn from the Point C , given in the Right Line A B , at Right Angles to A B. 1 1 For , because D C is equal to ...
Σελίδα 14
... equal to HE , and HC is com- mon , GH and HC are each equal to EH and HC , and the Bafe CG is equal to the Base CE . Therefore $ 8 of this , the Angle CHG is equal to the Angle CHE ; and they are adjacent Angles . But when a Right Line ...
... equal to HE , and HC is com- mon , GH and HC are each equal to EH and HC , and the Bafe CG is equal to the Base CE . Therefore $ 8 of this , the Angle CHG is equal to the Angle CHE ; and they are adjacent Angles . But when a Right Line ...
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...