Elements of geometry, containing the first two (third and fourth) books of Euclid, with exercises and notes, by J.H. Smith, Μέρος 11871 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 8
... Problems , though Euclid himself makes no such distinction . By the name Theorem we understand a truth , capable of ... Problem easily deduced from , or effected by means of , a Proposition to which it is attached . .We shall divide the ...
... Problems , though Euclid himself makes no such distinction . By the name Theorem we understand a truth , capable of ... Problem easily deduced from , or effected by means of , a Proposition to which it is attached . .We shall divide the ...
Σελίδα 9
... Problem , and what has to be proved in a Theorem . The last line in the proof of every Proposition states , that what had to be done or proved has been done or proved . The letters Q. E. F. at the end of a Problem stand for Quod erat ...
... Problem , and what has to be proved in a Theorem . The last line in the proof of every Proposition states , that what had to be done or proved has been done or proved . The letters Q. E. F. at the end of a Problem stand for Quod erat ...
Σελίδα 10
... PROBLEM . To describe an equilateral triangle on a given straight B E Let AB be the given st . line . It is required to describe an equilat . △ on AB . With centre A and distance AB describe BCD . Post . 3 . With centre B and distance ...
... PROBLEM . To describe an equilateral triangle on a given straight B E Let AB be the given st . line . It is required to describe an equilat . △ on AB . With centre A and distance AB describe BCD . Post . 3 . With centre B and distance ...
Σελίδα 11
Euclides James Hamblin Smith. PROPOSITION II . PROBLEM . From a given point to draw a straight line equal to a given straight line . H D B Let A be the given pt . , and BC the given ... PROBLEM . From the greater of two BOOK I. PROP . II .
Euclides James Hamblin Smith. PROPOSITION II . PROBLEM . From a given point to draw a straight line equal to a given straight line . H D B Let A be the given pt . , and BC the given ... PROBLEM . From the greater of two BOOK I. PROP . II .
Σελίδα 12
Euclides James Hamblin Smith. PROPOSITION III . PROBLEM . From the greater of two given straight lines to cut off a part equal to the less . D H E B Let AB be the greater of the two given st . lines AB , CD . It is required to cut off ...
Euclides James Hamblin Smith. PROPOSITION III . PROBLEM . From the greater of two given straight lines to cut off a part equal to the less . D H E B Let AB be the greater of the two given st . lines AB , CD . It is required to cut off ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Containing the First Two (Third and Fourth) Books of ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Containing the First Two (Third and Fourth) Books of ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Elements of Geometry, Containing the First Two (Third and Fourth) Books of ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB=DE ABCD acute adjacent alternate angles equal angular points applied base bisected Book called centre circle coincide common construction describe diagonal difference distance divided double draw equal equidistant Euclid Exercises extremities fall figure four Geometry given point given straight line greater half Hence interior angles intersect isosceles triangle join length less Let ABC line joining magnitude measure meet method NOTE obtuse opposite sides parallel parallelogram perpendicular placed polygon position Post Postulate PROBLEM produced proof Prop PROPOSITION proved Q. E. D. Ex quadrilateral rectangle contained respects right angles Shew shewn sides square sum of sqq suppose Surface Take taken THEOREM triangle ABC triangles are equal unequal vertex vertical whole
Δημοφιλή αποσπάσματα
Σελίδα 52 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 69 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Σελίδα 83 - 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 of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Σελίδα 17 - 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 48 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Σελίδα 26 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 86 - 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 90 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Σελίδα 106 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Σελίδα 82 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.