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 |
From inside the book
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Page 5
... cone? An ice-Cream Cone, an ice-Cream Cone? Oh do you want an ice-cream cone, To eat on a summer's day? Oh, yes I want a strawberry cone, A strawberry Cone, a strawberry cone Oh, yes I want a strawberry cone To eat on a summer's day ...
... cone? An ice-Cream Cone, an ice-Cream Cone? Oh do you want an ice-cream cone, To eat on a summer's day? Oh, yes I want a strawberry cone, A strawberry Cone, a strawberry cone Oh, yes I want a strawberry cone To eat on a summer's day ...
Page 1
... cone collection methods tested , correspondence , early project reports , and minutes of meetings of the ad hoc group established to over- see the wildland cone collection project . Wildland Cone Collection - High Priority Need In 1976 ...
... cone collection methods tested , correspondence , early project reports , and minutes of meetings of the ad hoc group established to over- see the wildland cone collection project . Wildland Cone Collection - High Priority Need In 1976 ...
Page 5
... cone model , oc 5 ° , are not included because of the very poor quality of the measurements ) . Since the technique as used in the helium facility was not capable of displaying accurately the surface flow details in the transitional ...
... cone model , oc 5 ° , are not included because of the very poor quality of the measurements ) . Since the technique as used in the helium facility was not capable of displaying accurately the surface flow details in the transitional ...
Page 4
... cone can be significant com- pared to the local radius of the cone . Under these conditions an interaction between the thick boundary layer and the inviscid flow field can exist . Two predominate viscous interaction effects are induced ...
... cone can be significant com- pared to the local radius of the cone . Under these conditions an interaction between the thick boundary layer and the inviscid flow field can exist . Two predominate viscous interaction effects are induced ...
Page 7
... cone crops on conifers in Arizona and New Mexico No cones on any seed tree . Few cones on less than one - fourth of the seed trees . Few cones on one - fourth to one - half of the seed trees . Few cones on more than one - half of the ...
... cone crops on conifers in Arizona and New Mexico No cones on any seed tree . Few cones on less than one - fourth of the seed trees . Few cones on one - fourth to one - half of the seed trees . Few cones on more than one - half of the ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 16 - Any two sides of a triangle are together greater than the third side.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.
Page 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.
Page 159 - SIMILAR triangles are to one another in the duplicate ratio of their homologous sides.