The First Six Books of the Elements of Euclid, with a Commentary and Geometrical Exercises: To which are Annexed a Treatise on Solid Geometry, and a Short Essay on the Ancient Geometrical AnalysisJohn Taylor, 30 Upper Gower Street, Bookseller and Publisher to the University: and sold, 1828 - 324 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 56.
Σελίδα 27
... circumscribed about the triangle . ( 79 ) In a quadrilateral formed by two isosceles triangles ACB and AD B constructed on different sides of the same base , the diagonals intersect at right angles , and that which is the common base of ...
... circumscribed about the triangle . ( 79 ) In a quadrilateral formed by two isosceles triangles ACB and AD B constructed on different sides of the same base , the diagonals intersect at right angles , and that which is the common base of ...
Σελίδα 27
... circumscribed about the triangle . ( 79 ) In a quadrilateral formed by two isosceles triangles ACB and AD B constructed on different sides of the same base , the diagonals intersect at right angles , and that which is the common base of ...
... circumscribed about the triangle . ( 79 ) In a quadrilateral formed by two isosceles triangles ACB and AD B constructed on different sides of the same base , the diagonals intersect at right angles , and that which is the common base of ...
Σελίδα 99
... points . The problem to describe a circle through three given points is the same as to circumscribe a circle round a triangle , and has been solved in ( 77 ) . PROPOSITION XI . THEOREM . " ( 340 ) If H 2 BOOK THE THIRD , 99.
... points . The problem to describe a circle through three given points is the same as to circumscribe a circle round a triangle , and has been solved in ( 77 ) . PROPOSITION XI . THEOREM . " ( 340 ) If H 2 BOOK THE THIRD , 99.
Σελίδα 107
... The problem to describe a circle through three given points is the same as to circumscribe a circle round a triangle , and has been solved in ( 77 ) . PROPOSITION XI . THEOREM . ( 340 ) If two H 2 BOOK THE THIRD , 99.
... The problem to describe a circle through three given points is the same as to circumscribe a circle round a triangle , and has been solved in ( 77 ) . PROPOSITION XI . THEOREM . ( 340 ) If two H 2 BOOK THE THIRD , 99.
Σελίδα 107
... The problem to describe a circle through three given points is the same as to circumscribe a circle round a triangle , and has been solved in ( 77 ) . PROPOSITION XI . THEOREM . " ( 340 ) If H 2 BOOK THE THIRD , 99 .
... The problem to describe a circle through three given points is the same as to circumscribe a circle round a triangle , and has been solved in ( 77 ) . PROPOSITION XI . THEOREM . " ( 340 ) If H 2 BOOK THE THIRD , 99 .
Άλλες εκδόσεις - Προβολή όλων
The First Six Books of the Elements of Euclid: With a Commentary and ... Dionysius Lardner Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and B C A B D altitude angles A B C arcs Book centre circumference circumscribed coincide conical surface constructed demonstration diagonal diameter difference draw equal angles equal hyp equal sides equi equiangular equilateral triangle equimultiples Euclid external angle extremities geometry given circle given line given point given right line Hence homologous sides hypotenuse inscribed intersect isosceles triangle less magnitudes multiple opposite parallel parallelogram parallelopiped pentagon perpendicular plane polygon prism problem produced PROPOSITION proved pyramid radii radius rectangle rectilinear figure respectively equal right line A B segments sides A B similar solid angle square of A B surface tangent THEOREM third tiples triangles A B C vertex
Δημοφιλή αποσπάσματα
Σελίδα 16 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Σελίδα 24 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 22 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Σελίδα 104 - ... be equimultiples, the one of the second, and the other of the fourth. Let A the first be the same multiple of B the second, that C the third is of D the fourth ; and of A, C let equimultiples EF, GH be taken.
Σελίδα 107 - ... If there be three magnitudes, and other three, which have the same ratio taken two and two, but in a cross order; then if the first magnitude be greater than the third, the fourth shall be greater than the sixth: and if equal, equal; and if less, less.
Σελίδα 107 - N ; and if equal, equal ; and if less, less : but if G be greater than L, it has been shown that L HC K E M F N H is greater than M ; and if equal, equal; and if less, less: therefore, if G be greater than L, K is greater than N ; and if equal, equal ; and if less less : and G, K are any equimultiples whatever of A, E ; and L, N any whatever of B, F : therefore as A is to B, so is E to F (5.
Σελίδα 187 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Σελίδα 107 - IF the first be to the second as the third to the fourth, and if the first be a multiple, or part of the second; the third is the same multiple, or the same part of the fourth...
Σελίδα 107 - THEOR. IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Σελίδα 107 - D (as in fig. 2 and 3), this magnitude can be multiplied, so as to become greater than D, whether it be AC, or CB. Let it be multiplied until it...