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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Página vi
... letters . In the further exercises which accompany the propositions , every proposition , except some of the very easiest of the later ones , meets with analytical consideration before it is entered upon . By means of a series of ...
... letters . In the further exercises which accompany the propositions , every proposition , except some of the very easiest of the later ones , meets with analytical consideration before it is entered upon . By means of a series of ...
Página 3
... letters to it ; A thus , A or BC . We usually require two letters placed at the two ends . B EXAMINATION II , 1. Explain the difference between a mathematical ' and a ' physical ' line . 2. Are the extremities the only points in a line ...
... letters to it ; A thus , A or BC . We usually require two letters placed at the two ends . B EXAMINATION II , 1. Explain the difference between a mathematical ' and a ' physical ' line . 2. Are the extremities the only points in a line ...
Página 5
... letter placed at the corner , as A ; or , also , by the three letters which are on the two lines , but keeping A in the middle , as BAC or CAB . LXV L B E B When two straight lines intersect or cut one another , as BD , EC inter- sect ...
... letter placed at the corner , as A ; or , also , by the three letters which are on the two lines , but keeping A in the middle , as BAC or CAB . LXV L B E B When two straight lines intersect or cut one another , as BD , EC inter- sect ...
Página 6
... letters , as just shown , Thus , the angle between AC and AD is CAD or DAC . We might also sometimes denote the angle by one letter placed within the corner , as BAE in the same figure by A. When more than two lines meet at a point , we ...
... letters , as just shown , Thus , the angle between AC and AD is CAD or DAC . We might also sometimes denote the angle by one letter placed within the corner , as BAE in the same figure by A. When more than two lines meet at a point , we ...
Página 8
... letters along its boundary or boundaries , more especially at the corners , if there are any , and use three or more of these letters , taking care to use just enough to distinguish the figure from any other which may have some of the ...
... letters along its boundary or boundaries , more especially at the corners , if there are any , and use three or more of these letters , taking care to use just enough to distinguish the figure from any other which may have some of the ...
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 Corollary deduce definition diagonal Diagram drawn enunciation equal and parallel equal angles equal sides equal to BC equiangular EQUIANGULAR POLYGONS equilateral triangle Euclid Euclid's Elements exterior four right angles Geometry given point given rectilineal given straight line hypotenuse hypothesis inference isosceles triangle join less Let ABC magnitude meet opposite interior angle opposite sides pair of equal parallel to BC parallelogram perpendicular Playfair's Axiom Postulate produced proof Prop proposition prove quadrilateral rectilineal figure respectively equal rhombus right-angled triangle side BC sides equal square supplementary angles theorems thesis trapezium triangle ABC unequal vertex Wherefore XXVIII
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.