Elements of Euclid Adapted to Modern Methods in GeometryWilliam Collins, Sons,, 1874 - 216 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 4
... Third , and Sixth Books , more especially in the Third and Sixth . Several of the changes made in this direc- tion are in conformity with hints first thrown out by Pro- fessor De Morgan in the article already quoted . In carrying out ...
... Third , and Sixth Books , more especially in the Third and Sixth . Several of the changes made in this direc- tion are in conformity with hints first thrown out by Pro- fessor De Morgan in the article already quoted . In carrying out ...
Σελίδα 5
... Third and Fourth Books , some important extra Propositions have been introduced into the text , as they are very closely connected with those of Euclid , and were considered of too much importance to place in an Appendix . The subject ...
... Third and Fourth Books , some important extra Propositions have been introduced into the text , as they are very closely connected with those of Euclid , and were considered of too much importance to place in an Appendix . The subject ...
Σελίδα 6
... third Proposition . The Editors have to express their acknowledgments to Prof. EVERETT , and to the Rev. Dr. BRYCE for some valuable suggestions regarding the definitions of the First and Fifth Books ; and to Mr. J. J. BLACK and Mr ...
... third Proposition . The Editors have to express their acknowledgments to Prof. EVERETT , and to the Rev. Dr. BRYCE for some valuable suggestions regarding the definitions of the First and Fifth Books ; and to Mr. J. J. BLACK and Mr ...
Σελίδα 16
... third postulate , as stated by Euclid , does not authorise the transference of distances by the compasses , but merely the description of a circle from one end of a given line , and so that the circumference shall pass through the other ...
... third postulate , as stated by Euclid , does not authorise the transference of distances by the compasses , but merely the description of a circle from one end of a given line , and so that the circumference shall pass through the other ...
Σελίδα 30
... third side . Let ABC be a triangle ; it is required to prove that any two sides , AB and BC , are together greater than AC . Produce AB to D , mak- ing BD equal to BC ; join DC . the angle D is equal to BCD . But ACD 30 ELEMENTS OF EUCLID .
... third side . Let ABC be a triangle ; it is required to prove that any two sides , AB and BC , are together greater than AC . Produce AB to D , mak- ing BD equal to BC ; join DC . the angle D is equal to BCD . But ACD 30 ELEMENTS OF EUCLID .
Άλλες εκδόσεις - Προβολή όλων
Elements of Euclid Adapted to Modern Methods in Geometry Euclid,James Bryce,David Munn (F.R.S.E.) Δεν υπάρχει διαθέσιμη προεπισκόπηση - 1874 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AC and CB altitude angle AOB BA and AC bisecting the angle centre chord circles touch circumference cloth coincide Const conv Cor.-Hence diagonal diameter divided draw equal angles equal to BC equal to twice equiangular equilateral triangle Euclid exterior angle Fcap GEOGRAPHY geometrical given circle given line given point given straight line greater half the perimeter Hence hypotenuse inscribed intersecting isosceles triangle less Let ABC LL.D meet middle point multiple opposite sides parallel to BC parallelogram perpendicular polygon produced Proposition Q. E. D. Cor Q. E. D. PROP radius ratio rectangle contained rectilineal figure reflex angle remaining angles required to prove right angles right-angled triangle schol segments shew shewn side BC square on AC tangent THEOREM triangle ABC twice the rectangle twice the square whole line
Δημοφιλή αποσπάσματα
Σελίδα 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 77 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 50 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle.
Σελίδα 87 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Σελίδα 30 - Any two sides of a triangle are together greater than the third side.
Σελίδα 204 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Σελίδα 89 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Σελίδα 98 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.