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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Resultater 1-5 af 100
Side 1
... line . IV . A straight line is that which lies evenly between its extreme points . " A straight line is " more clearly defined to be " that in which , if any two points be taken , the part intercepted between them is the shortest that can ...
... line . IV . A straight line is that which lies evenly between its extreme points . " A straight line is " more clearly defined to be " that in which , if any two points be taken , the part intercepted between them is the shortest that can ...
Side 3
... straight lines drawn from a certain point within the figure to the circumference , are equal to one another . The ... line drawn from the centre to the circumference , is called the radius . XVII . A diameter of a circle is a straight ...
... straight lines drawn from a certain point within the figure to the circumference , are equal to one another . The ... line drawn from the centre to the circumference , is called the radius . XVII . A diameter of a circle is a straight ...
Side 5
Euclides Robert Wallace. XXXV . Parallel straight lines are such as are in the same plane , and which being produced ... line may be drawn from any one point to any other point . When a straight line is drawn from one point to another ...
Euclides Robert Wallace. XXXV . Parallel straight lines are such as are in the same plane , and which being produced ... line may be drawn from any one point to any other point . When a straight line is drawn from one point to another ...
Side 7
... straight line . Let AB be the given straight line . It is required to describe an equilateral triangle upon AB ... drawn equal to the given straight line B C. K TT D G F equal to the a straight line Q. E. F. The construction of this ...
... straight line . Let AB be the given straight line . It is required to describe an equilateral triangle upon AB ... drawn equal to the given straight line B C. K TT D G F equal to the a straight line Q. E. F. The construction of this ...
Side 8
... Draw the figures , and show the application of the construction and demonstration to different positions of the point and the straight line ... lines to cut off a part equal to the less . Let AB and C be the two given straight lines , of ...
... Draw the figures , and show the application of the construction and demonstration to different positions of the point and the straight line ... lines to cut off a part equal to the less . Let AB and C be the two given straight lines , of ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Ingen forhåndsvisning - 2016 |
Almindelige termer og sætninger
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
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Side 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.
Side 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.
Side 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.
Side 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.
Side 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 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.
Side 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Side 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.
Side 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...