Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes; together with a selection of geometrical exercises. To which is prefixed an intr., containing a brief outline of the history of geometry. By R. Potts. [With] Appendix1845 |
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Side viii
... positions . This is the oldest specimen of the principles auxiliary to the Geometrical Analysis . The object of the several propositions of this book is to shew that , in cases where certain properties or ratios are given , other ...
... positions . This is the oldest specimen of the principles auxiliary to the Geometrical Analysis . The object of the several propositions of this book is to shew that , in cases where certain properties or ratios are given , other ...
Side xii
... only varying the inclination and position of the cutting plane . It may be remarked that Apollonius first gave the names of ellipse and hyperbola to two of the curves : the name of parabola had been already applied xii INTRODUCTION . "
... only varying the inclination and position of the cutting plane . It may be remarked that Apollonius first gave the names of ellipse and hyperbola to two of the curves : the name of parabola had been already applied xii INTRODUCTION . "
Side xiv
... position of places on the earth , as he did in the heavens by means of their latitude and longitude . He pursued his astronomical studies at Rhodes , whence he obtained the name of Rhodius , and afterwards in Bithynia , and at ...
... position of places on the earth , as he did in the heavens by means of their latitude and longitude . He pursued his astronomical studies at Rhodes , whence he obtained the name of Rhodius , and afterwards in Bithynia , and at ...
Side xxviii
... position he inferred the motion of the sun on its axis . By his telescope he also discovered that the whiteness of the Milky Way is caused by innumerable stars apparently more close together than in the other parts of the heavens . His ...
... position he inferred the motion of the sun on its axis . By his telescope he also discovered that the whiteness of the Milky Way is caused by innumerable stars apparently more close together than in the other parts of the heavens . His ...
Side xxxviii
... position among men of science . He was the person selected to observe at Hudson's Bay the transit of Venus over the Sun in 1769 , and afterwards accompanied , as astronomer , the celebrated Captain Cook on his first voyage in the years ...
... position among men of science . He was the person selected to observe at Hudson's Bay the transit of Venus over the Sun in 1769 , and afterwards accompanied , as astronomer , the celebrated Captain Cook on his first voyage in the years ...
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Euclid's Elements of Geometry [Book 1-6, 11,12] with Explanatory Notes ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
AC is equal altitude angle ABC angle BAC angle equal base BC chord circle ABCD circumference cone cylinder describe a circle diagonals diameter divided draw EFGH equal angles equiangular equilateral triangle equimultiples Euclid Euclid's Elements Geometry given angle given circle given line given point given straight line given triangle gnomon greater hypothenuse inscribed interior angles intersection isosceles triangle less Let ABC lines be drawn magnitudes meet the circumference multiple opposite sides parallel parallelogram pentagon perpendicular polygon prism problem Proclus produced Prop proportional proved pyramid Q.E.D. PROPOSITION radius rectangle contained rectilineal figure remaining angle right angles right-angled triangle segment semicircle shew shewn similar triangles solid angle solid parallelopipeds square of AC tangent THEOREM touches the circle trapezium triangle ABC vertex vertical angle wherefore
Populære avsnitt
Side 56 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Side 29 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Side 26 - Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal...
Side 99 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 15 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For...
Side 58 - If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 22 - IF two triangles have two sides of the one equal to two sides of the...
Side vi - The sluggard is wiser in his own conceit than seven men that can render a reason.
Side 54 - If there be imo 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 26 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.