The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed1855 |
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Página 3
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . The circumference of a circle is its boundary . The space con- tained within the boundary ...
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . The circumference of a circle is its boundary . The space con- tained within the boundary ...
Página 8
... circumference in G. From the centre D , at the distance DG , describe the circle G KL . Produce DA to meet the circumference in L. Then AL is equal to B C. stration of this construction will be the same as that above . Exercise . Draw ...
... circumference in G. From the centre D , at the distance DG , describe the circle G KL . Produce DA to meet the circumference in L. Then AL is equal to B C. stration of this construction will be the same as that above . Exercise . Draw ...
Página 54
... circumferences meet in any point , but do not cut one another . The point in the circumference of a circle , where a straight line or another circle touches it , is called the point of contact ( touch ) . IV . Straight lines are said to ...
... circumferences meet in any point , but do not cut one another . The point in the circumference of a circle , where a straight line or another circle touches it , is called the point of contact ( touch ) . IV . Straight lines are said to ...
Página 55
... circumference . ] This definition appears to be an interpolation . It is not used and need not be remembered . VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the ...
... circumference . ] This definition appears to be an interpolation . It is not used and need not be remembered . VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the ...
Página 56
... circumference , and join AB . Biscct the straight line AB ( I. 10 ) at D. From the point D , draw DC at right angles ( I. 11 ) to AB . Let CD meet the circumference in C and E ; and bisect CE in F. The point F is the centre of the ...
... circumference , and join AB . Biscct the straight line AB ( I. 10 ) at D. From the point D , draw DC at right angles ( I. 11 ) to AB . Let CD meet the circumference in C and E ; and bisect CE in F. The point F is the centre of the ...
Otras ediciones - Ver todas
The Elements of geometry; or, The first six books, with the eleventh and ... Euclides Vista completa - 1881 |
The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Sin vista previa disponible - 2016 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angle DEF angle EDF base BC bisected centre circle ABC circumference cone cylinder described diagonal diameter draw duplicate ratio equal angles equal Ax equal Const equiangular equimultiples Euclid ex æquali Exercise exterior angle fore given straight line gnomon homologous sides inscribed join less meet multiple opposite angle parallelogram parallelogram AC parallelopiped pentagon perpendicular polygon prism produced proposition Q. E. D. PROP reciprocally proportional rectangle contained rectilineal figure remaining angle right angles segment similar triangles solid angle sphere squares of AC straight line drawn straight lines A B THEOREM third three plane angles three straight lines triangle ABC triangle DEF triplicate ratio twice the rectangle vertex Wherefore whole angle
Pasajes populares
Página 23 - 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.
Página 34 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Página 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 135 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.
Página 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Página 147 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Página 37 - 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...