The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored. Also, The Book of Euclid's Data, in Like Manner Corrected. viz. The first six books, together with the eleventh and twelfth |
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Σελίδα 162
EQUAL parallelograms which have one angle of the one equal to one angle of
the other , have their fides about the equal angles ... Complete the parallelogram
FE ; and because the parallelogram AB is equal to BC , and that A T FE is
another ...
EQUAL parallelograms which have one angle of the one equal to one angle of
the other , have their fides about the equal angles ... Complete the parallelogram
FE ; and because the parallelogram AB is equal to BC , and that A T FE is
another ...
Σελίδα 173
Sv gram AC to the parallelogram CF. but K has to M the ratio which is
compounded of the ratios of the sides ; therefore also ... HE parallelograms about
the diameter of any pa- sec N. rallelogram , are similar to the whole , and to one
another .
Sv gram AC to the parallelogram CF. but K has to M the ratio which is
compounded of the ratios of the sides ; therefore also ... HE parallelograms about
the diameter of any pa- sec N. rallelogram , are similar to the whole , and to one
another .
Σελίδα 176
That a parallelogram is said to be applied to a straight line , when it is described
upon it as one of its sides . Ex . gr . the pa• rallelogram AC is said to be applied to
the straight line AB . “ 2. But a parallelogram AE is said to be applied to a ...
That a parallelogram is said to be applied to a straight line , when it is described
upon it as one of its sides . Ex . gr . the pa• rallelogram AC is said to be applied to
the straight line AB . “ 2. But a parallelogram AE is said to be applied to a ...
Σελίδα 178
See N. To " O a given straight line to apply a parallelogrami equal to a given
rectilineal figure , and deficient by a parallelogram similar to a given
parallelogram . but the given rectilineal figure to which the parallelogram to be
applied is to be ...
See N. To " O a given straight line to apply a parallelogrami equal to a given
rectilineal figure , and deficient by a parallelogram similar to a given
parallelogram . but the given rectilineal figure to which the parallelogram to be
applied is to be ...
Σελίδα 434
If a parallelogram given in species be applied to a given straight line , exceeding
by a parallelogram equal to a given ... line AB excceding by the parallelogram
BDCG equal to a given space ; the sides AD , DC of the parallelogram are given .
If a parallelogram given in species be applied to a given straight line , exceeding
by a parallelogram equal to a given ... line AB excceding by the parallelogram
BDCG equal to a given space ; the sides AD , DC of the parallelogram are given .
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
added alſo altitude angle ABC angle BAC baſe becauſe Book caſe circle circle ABCD circumference common cone cylinder Definition demonſtrated deſcribed diameter divided double draw drawn equal equal angles equiangular equimultiples exceſs fame fides figure firſt folid angle fore four fourth given angle given in poſition given magnitude given ratio given ſtraight line greater half join leſs likewiſe magnitude manner meet multiple muſt oppoſite parallel parallelogram perpendicular plane produced PROP proportionals Propoſition pyramid radius reaſon rectangle rectangle contained rectilineal remaining right angles ſame ſecond ſegment ſhall ſides ſimilar ſolid ſphere ſquare ſquare of AC taken THEOR theſe third thro triangle ABC wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 156 - 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.
Σελίδα 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.
Σελίδα 323 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 92 - If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square- of the line which meets it, the line which meets shall touch the circle.
Σελίδα 80 - EA : and because AD is equal to DC, and DE common to the triangles ADE, CDE, the two sides AD, DE are equal to the two CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; therefore the base AE is equal (4.
Σελίδα 52 - If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced.
Σελίδα 36 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 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.
Σελίδα 54 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 74 - The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored. Also, The Book of Euclid's Data, in Like Manner Corrected. viz. The first six books, together with the eleventh and twelfth |
| Συγγραφέας | Robert Simson |
| Εκδότης | A. Foulis, 1781 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 11 Ιουν. 2007 |
| Μέγεθος | 466 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |