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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Side 1
Euclides Robert Wallace. EUCLID'S ELEMENTS OF GEOMETRY . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts ... Def . I. Book XI . VI . The extremities of a superficies are lines . By the ... angle is the inclination of EUCLID'S ...
Euclides Robert Wallace. EUCLID'S ELEMENTS OF GEOMETRY . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts ... Def . I. Book XI . VI . The extremities of a superficies are lines . By the ... angle is the inclination of EUCLID'S ...
Side 2
... definition is put in brackets , as useless , and unnecessary to be remembered . IX . A plane rectilineal angle is the ... angle . D N.B. " When several angles are at one point B , any one of them is expressed by three letters , of which ...
... definition is put in brackets , as useless , and unnecessary to be remembered . IX . A plane rectilineal angle is the ... angle . D N.B. " When several angles are at one point B , any one of them is expressed by three letters , of which ...
Side 4
... angles right angles . This definition is redundant . If the general definition annexed to the 34th Prop . of this book be considered , the square is only a species of parallelogram , viz . that which has one angle a right angle and the ...
... angles right angles . This definition is redundant . If the general definition annexed to the 34th Prop . of this book be considered , the square is only a species of parallelogram , viz . that which has one angle a right angle and the ...
Side 5
... meaning of this definition is , that the space between the lines is always of the same breadth . POSTULATES . I. Let ... angle may be applied to another , for the purpose of comparison . See Prop . IV . of this book . AXIOMS . I. Things ...
... meaning of this definition is , that the space between the lines is always of the same breadth . POSTULATES . I. Let ... angle may be applied to another , for the purpose of comparison . See Prop . IV . of this book . AXIOMS . I. Things ...
Side 8
... DEF . Then the part AE shall be equal to C. D C E A F B Because A is the centre of the circle DEF , AE is equal ( Def . 15 ) to AD . But the straight line C is likewise ... angle BAC is equal ( Hyp . ) to the angle 8 EUCLID'S ELEMENTS .
... DEF . Then the part AE shall be equal to C. D C E A F B Because A is the centre of the circle DEF , AE is equal ( Def . 15 ) to AD . But the straight line C is likewise ... angle BAC is equal ( Hyp . ) to the angle 8 EUCLID'S ELEMENTS .
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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...