An introduction to geometry, consisting of Euclid's Elements, book i, accompanied by numerous explanations, questions, and exercises, by J. Walmsley. [With] Answers, Band 11884 |
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Seite
... less useful questions , and by adding one new paper . In place of the portions of Matriculation papers referred to , those of the Science and Art Department have been brought up to date , and now form a most useful series of ten . In ...
... less useful questions , and by adding one new paper . In place of the portions of Matriculation papers referred to , those of the Science and Art Department have been brought up to date , and now form a most useful series of ten . In ...
Seite iii
... less useful questions , and by adding one new paper . In place of the portions of Matriculation papers referred to , those of the Science and Art Department have been brought up to date , and now form a most useful series of ten . In ...
... less useful questions , and by adding one new paper . In place of the portions of Matriculation papers referred to , those of the Science and Art Department have been brought up to date , and now form a most useful series of ten . In ...
Seite v
... less of a true Geometer . Among the most distinctive features of this work are the number and the position of the explanations , questions , and exercises . But the nature of all these , which will not be so readily obvious , is ...
... less of a true Geometer . Among the most distinctive features of this work are the number and the position of the explanations , questions , and exercises . But the nature of all these , which will not be so readily obvious , is ...
Seite vii
... less than would be estimated . means . On the other hand , it is quite possible to under - estimate the time required to arrive at an equal result by the usual By the method described above , a natural and con- tinuous training may be ...
... less than would be estimated . means . On the other hand , it is quite possible to under - estimate the time required to arrive at an equal result by the usual By the method described above , a natural and con- tinuous training may be ...
Seite 5
... less ; while to make two lines diverge more , is to make the angle between them more also . We shall find another argument to urge against the same definition on coming to Definition 10 . It is important to notice the different ways in ...
... less ; while to make two lines diverge more , is to make the angle between them more also . We shall find another argument to urge against the same definition on coming to Definition 10 . It is important to notice the different ways in ...
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An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Keine Leseprobe verfügbar - 2013 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Keine Leseprobe verfügbar - 2023 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
AB is equal AC is equal adjacent angles alternate angle angle ABC angle ACB angle AGH angle BAC angle BCD angle equal angles CBA axiom base BC bisects the angle centre circle circumference Constr construction definition describe diagonal Diagram diameter enunciation equal and parallel equal angles equal sides equal to BC EQUIANGULAR POLYGONS equilateral triangle Euclid Euclid's Elements exterior four right angles Geometry given angle given point given straight line greater hypotenuse hypothesis inference isosceles triangle join less Let ABC magnitude meet middle point opposite angles opposite interior angle opposite sides pair of equal parallel to BC parallelogram perpendicular Postulate produced proof Prop proposition prove quadrilateral rectilineal figure respectively equal rhombus right angles right-angled triangle sides equal square supplementary angles theorems thesis trapezium triangle ABC triangles are equal unequal vertex Wherefore
Beliebte Passagen
Seite 132 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Seite 86 - 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.
Seite 139 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Seite 133 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Seite 134 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Seite 134 - 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.
Seite 50 - if two straight lines" &c. QED COR. 1. From this it is manifest, that if two straight lines cut one another, the angles which they make at the point where they cut, are together equal to four right angles.
Seite 20 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Seite 96 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Seite 49 - 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 ; then these two straight lines shall be in one and the same straight line.