The Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson].1814 |
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... Definitions and Demonstrations as they are in the Greek editions we now have , I found that Theon , or whoever was ... Definition of the 6th Book , which neither Euclid , Archi- medes , Apollonius , nor any geometer before Theon's time ...
... Definitions and Demonstrations as they are in the Greek editions we now have , I found that Theon , or whoever was ... Definition of the 6th Book , which neither Euclid , Archi- medes , Apollonius , nor any geometer before Theon's time ...
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... Definition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But indeed , this Proposition , which makes the ...
... Definition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But indeed , this Proposition , which makes the ...
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... Definition of Book 11th ; besides , the Translation is much amended by the friendly assistance of a learned gentleman . To which are also added , the Elements of Plane and Spherical Trigonometry , which are commonly taught after the ...
... Definition of Book 11th ; besides , the Translation is much amended by the friendly assistance of a learned gentleman . To which are also added , the Elements of Plane and Spherical Trigonometry , which are commonly taught after the ...
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... the University of Oxford . * Dr. Robert Simson was born 14th October , 1687 , Q. S. and died on the first of October , 1768 , when his eighty - first year was almost completed . THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I.
... the University of Oxford . * Dr. Robert Simson was born 14th October , 1687 , Q. S. and died on the first of October , 1768 , when his eighty - first year was almost completed . THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I.
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Euclides Robert Simson. THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A ...
Euclides Robert Simson. THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I. A POINT is that which hath no parts , or which hath no magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A ...
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Términos y frases comunes
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected BOOK XI centre circle ABCD circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm meet multiple opposite parallel parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius rectangle CB rectangle contained rectilineal figure remaining angle right angles segment side BC similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore
Pasajes populares
Página 3-7 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Página 16 - Any two sides of a triangle are together greater than the third side.
Página 26 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 16 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Página 304 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.
Página 4 - DL is equal to DG, and DA, DB, parts of them, are equal ; therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC.
Página 147 - 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 3-16 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Página 159 - SIMILAR triangles are to one another in the duplicate ratio of their homologous sides.