The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed1855 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 55.
Σελίδα 8
... angle BAC equal to the angle EDF . Then the base BC is equal to the base EF ; the triangle ABC is equal to the triangle DEF ; and the remaining angles of the one are equal to the remaining angles of the other , each to each ; viz ...
... angle BAC equal to the angle EDF . Then the base BC is equal to the base EF ; the triangle ABC is equal to the triangle DEF ; and the remaining angles of the one are equal to the remaining angles of the other , each to each ; viz ...
Σελίδα 9
... remaining angles of the other , and are therefore equal to them , each to each ; viz . , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles have two sides , & c . Q. E. D. The ...
... remaining angles of the other , and are therefore equal to them , each to each ; viz . , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles have two sides , & c . Q. E. D. The ...
Σελίδα 10
... angle CG B. Wherefore the two triangles BFC , CGB , are equal ( I. 4 ) , and their remaining angles are equal , each to each , viz . , those to which the equal sides are opposite . Therefore the angle FBC is equal to the angle GCB , and ...
... angle CG B. Wherefore the two triangles BFC , CGB , are equal ( I. 4 ) , and their remaining angles are equal , each to each , viz . , those to which the equal sides are opposite . Therefore the angle FBC is equal to the angle GCB , and ...
Σελίδα 15
Euclides Robert Wallace. For if the angle CBA be equal to the angle ABD , each of them is a right angle ( Def . 10 ) ... remaining angle ABE is equal ( Ax . 3 ) to the remaining angle ABD , the less to the greater , which is impossible ...
Euclides Robert Wallace. For if the angle CBA be equal to the angle ABD , each of them is a right angle ( Def . 10 ) ... remaining angle ABE is equal ( Ax . 3 ) to the remaining angle ABD , the less to the greater , which is impossible ...
Σελίδα 16
... angle with it , these two straight lines shall coincide with each other . PROP . XV . THEOREM . If two straight ... remaining angle CEA is equal ( Ax . 3 ) to the remaining angle DEB . In the same manner , it can be demonstrated , that ...
... angle with it , these two straight lines shall coincide with each other . PROP . XV . THEOREM . If two straight ... remaining angle CEA is equal ( Ax . 3 ) to the remaining angle DEB . In the same manner , it can be demonstrated , that ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of geometry; or, The first six books, with the eleventh and ... Euclides Πλήρης προβολή - 1881 |
The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABC is equal ABCD altitude angle ABC angle BAC base bisected Book centre circle circle ABC circumference common compounded cone Const contained Corollary cylinder definition demonstration described diameter divided double draw drawn equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half homologous inscribed join less magnitudes manner meet multiple opposite parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proposition proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar similarly solid solid angle sphere square Take taken THEOREM third touch triangle ABC vertex Wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 23 - 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 42 - 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 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 130 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 143 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.
Σελίδα 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Σελίδα 115 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Σελίδα 45 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...