Elements of geometry, containing the first two (third and fourth) books of Euclid, with exercises and notes, by J.H. Smith, Μέρος 11871 |
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Σελίδα 9
... parallelogram ..... perpendicular equilat ...... equilateral rt ................ right extr .. .... exterior sq . ..square intr . ... interior sqq . ..squares pt ............ point st ... ...... straight rectil ....... rectilinear It is ...
... parallelogram ..... perpendicular equilat ...... equilateral rt ................ right extr .. .... exterior sq . ..square intr . ... interior sqq . ..squares pt ............ point st ... ...... straight rectil ....... rectilinear It is ...
Σελίδα 57
... Propositions included in this Section , we must complete the list of Definitions required in Book I , continuing the numbers prefixed to the definitions in page 6 . DEFINITIONS . XXVII . A PARALLELOGRAM is a four - SECTION III. ...
... Propositions included in this Section , we must complete the list of Definitions required in Book I , continuing the numbers prefixed to the definitions in page 6 . DEFINITIONS . XXVII . A PARALLELOGRAM is a four - SECTION III. ...
Σελίδα 58
... parallelogram by two letters only , which mark opposite angles . Thus we call the figure in the margin the parallelogram AC . XXVIII . A RECTANGLE is a parallelogram , having one of its angles a right angle . XXIX . A RHOMBUS is a ...
... parallelogram by two letters only , which mark opposite angles . Thus we call the figure in the margin the parallelogram AC . XXVIII . A RECTANGLE is a parallelogram , having one of its angles a right angle . XXIX . A RHOMBUS is a ...
Σελίδα 59
... parallelogram , and AE a perpen- dicular let fall from A to CD , AE is the altitude of the paral- lelogram , and also of the triangle ACD . B D E If a perpendicular be let fall from B to DC produced , meet- ing DC in F , BF is the ...
... parallelogram , and AE a perpen- dicular let fall from A to CD , AE is the altitude of the paral- lelogram , and also of the triangle ACD . B D E If a perpendicular be let fall from B to DC produced , meet- ing DC in F , BF is the ...
Σελίδα 61
Euclides James Hamblin Smith. PROPOSITION XXXV . THEOREM . Parallelograms on the same base and between the same parallels are equal . DE F B Let the s ABCD , EBCF be on the same base BC , and between the same s AF , BC . Then must ABCD ...
Euclides James Hamblin Smith. PROPOSITION XXXV . THEOREM . Parallelograms on the same base and between the same parallels are equal . DE F B Let the s ABCD , EBCF be on the same base BC , and between the same s AF , BC . Then must ABCD ...
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.