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 |
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Σελίδα
... proposition , and especially in the demon- stration , has been adopted , which , it is believed , will be found of the greatest advantage to the student . This advantage will be discovered by comparison with other editions , and its ...
... proposition , and especially in the demon- stration , has been adopted , which , it is believed , will be found of the greatest advantage to the student . This advantage will be discovered by comparison with other editions , and its ...
Σελίδα 9
... proposition might have been conducted by beginning the application of the one triangle to the other at the points B and E , and then going round the figure as above . This proposition holds equally true , when the angles contained by ...
... proposition might have been conducted by beginning the application of the one triangle to the other at the points B and E , and then going round the figure as above . This proposition holds equally true , when the angles contained by ...
Σελίδα 10
... proposition is more clearly expressed thus : " If two sides of a triangle be equal to one another , the angles which ... proposition is called the converse of Prop . V. , because the hypothesis of that proposition is the predicate of ...
... proposition is more clearly expressed thus : " If two sides of a triangle be equal to one another , the angles which ... proposition is called the converse of Prop . V. , because the hypothesis of that proposition is the predicate of ...
Σελίδα 12
... proposition without the aid of Prop . VII . , by applying the base of the one triangle to the base of the other , and inverting the former , so that they shall correspond exactly to the terms of the proposition contained in the exercise ...
... proposition without the aid of Prop . VII . , by applying the base of the one triangle to the base of the other , and inverting the former , so that they shall correspond exactly to the terms of the proposition contained in the exercise ...
Σελίδα 13
Euclides Robert Wallace. By means of this proposition , an augle may be divided into any number of equal parts denoted by the successive powers of the number 2 ; that is , into 2 , 4 , 8 , 16 , 32 , 64 , & c . , equal parts ; but to ...
Euclides Robert Wallace. By means of this proposition , an augle may be divided into any number of equal parts denoted by the successive powers of the number 2 ; that is , into 2 , 4 , 8 , 16 , 32 , 64 , & c . , equal parts ; but to ...
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...