An introduction to geometry, consisting of Euclid's Elements, book i, accompanied by numerous explanations, questions, and exercises, by J. Walmsley. [With] Answers, Volumen11884 |
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... hence teachers may use it with the assurance that it will meet with little or no alteration in future . In reference to the changes which have been made , it may be noted that the extracts from the London University Matriculation papers ...
... hence teachers may use it with the assurance that it will meet with little or no alteration in future . In reference to the changes which have been made , it may be noted that the extracts from the London University Matriculation papers ...
Página iii
... hence teachers may use it with the assurance that it will meet with little or no alteration in future . In reference to the changes which have been made , it may be noted that the extracts from the London University Matriculation papers ...
... hence teachers may use it with the assurance that it will meet with little or no alteration in future . In reference to the changes which have been made , it may be noted that the extracts from the London University Matriculation papers ...
Página 2
... hence some writers prefer to say on this subject , — “ A point is that which has position but no parts . " A point , as imagined by Euclid , is called a geometrical point ; such a dot as we must make in order to represent it , is called ...
... hence some writers prefer to say on this subject , — “ A point is that which has position but no parts . " A point , as imagined by Euclid , is called a geometrical point ; such a dot as we must make in order to represent it , is called ...
Página 19
... hence OA , OC , and AC are all equal to one another . Therefore the triangle OAC is equilateral . ( Ax . 1 ) ( Def . 15 ) ( Ax . 1 ) ( Def . 24 ) 6. Given that PQ is equal to OR ; prove that the triangle OFQ is equi- lateral . 7. Given ...
... hence OA , OC , and AC are all equal to one another . Therefore the triangle OAC is equilateral . ( Ax . 1 ) ( Def . 15 ) ( Ax . 1 ) ( Def . 24 ) 6. Given that PQ is equal to OR ; prove that the triangle OFQ is equi- lateral . 7. Given ...
Página 23
... Hence The data of a problem are the things which are given . The quaesita of a problem are the things which are to be done or made . The three postulates ( Art . 15 ) are sometimes spoken of as ' self - evident ' problems . ' Solving ...
... Hence The data of a problem are the things which are given . The quaesita of a problem are the things which are to be done or made . The three postulates ( Art . 15 ) are sometimes spoken of as ' self - evident ' problems . ' Solving ...
Otras ediciones - Ver todas
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Sin vista previa disponible - 2013 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Sin vista previa disponible - 2023 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Sin vista previa disponible - 2018 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 133 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Página 134 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Página 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.
Página 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.
Página 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.
Página 96 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Página 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.