The Elements of geometry [Euclid book 1-3] in general terms, with notes &c. &c. Also a variety of problems & theorems. [Ed. by J. Luby. With] The elements of plane geometry, comprising the definitions of the fifth book, and the sixth book in general terms, with notes [&c.] by J. Luby [described as] Pt. 31821 |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 18
... parallelogram are equal to one another , as are also the opposite angles , and the pa- rallelogram itself is bisected by the diagonal . = For in the two triangles formed by the diagonal ; the alternate angles are respectively to one ...
... parallelogram are equal to one another , as are also the opposite angles , and the pa- rallelogram itself is bisected by the diagonal . = For in the two triangles formed by the diagonal ; the alternate angles are respectively to one ...
Σελίδα 19
... parallelogram , ) having two sides of one respectively to two sides of the other , and the contained angles since they are the differences of angles ( two of which are formed by producing the common base ) .. the triangles are ; if one ...
... parallelogram , ) having two sides of one respectively to two sides of the other , and the contained angles since they are the differences of angles ( two of which are formed by producing the common base ) .. the triangles are ; if one ...
Σελίδα 20
... parallelogram is double of the triangle . For by drawing a diagonal you divide the parallelogram , into two triangles , either of which is to the given triangle , .. the parellelogram is double of the triangle . Schol . Hence it is ...
... parallelogram is double of the triangle . For by drawing a diagonal you divide the parallelogram , into two triangles , either of which is to the given triangle , .. the parellelogram is double of the triangle . Schol . Hence it is ...
Σελίδα 21
... parallelogram , the parallelogram is to the triangle . For if the base of the triangle be bisected and the point of bisection be connected with the vertex , it is di vided into triangles , either of which is half the pa- rallelogram ...
... parallelogram , the parallelogram is to the triangle . For if the base of the triangle be bisected and the point of bisection be connected with the vertex , it is di vided into triangles , either of which is half the pa- rallelogram ...
Σελίδα 22
... parallelogram of which the given line and side of first parallelogram are sides , draw the diagonal of it thro ' the angle contained by those sides , and produce it to meet the opposite side of the first formed parm , produced ; thro ...
... parallelogram of which the given line and side of first parallelogram are sides , draw the diagonal of it thro ' the angle contained by those sides , and produce it to meet the opposite side of the first formed parm , produced ; thro ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent ANALYSIS angle ABC angle contained arches bisecting line chord circumference connecting line conterminous dedu describe a circle diagonal diameter directum divided draw a right drawn line equiangular equilateral triangle evident external angle extremity given angle given circle given in position given line given point given ratio given right line given side gonal half the given hypothenuse inscribed intercept intersect isosceles triangle less lesser let fall line bisecting lines be drawn magnitude mean proportional meet middle point opposite angle opposite side parallelogram pass pendicular perpen perpendicular point of bisection point of contact point of section polygons PORISMS PROB PROP radii radius rect rectangle required triangle right angled triangle right line drawn segts semicircle semiperimeter side subtending square Suppose tangent THEOR triangle ABC vertex vertical angle whole line
Δημοφιλή αποσπάσματα
Σελίδα 128 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Σελίδα 26 - IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.
Σελίδα 111 - In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the...
Σελίδα 4 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.
Σελίδα 98 - 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.
Σελίδα 2 - Convertendo ; when it is .concluded, that if there be four magnitudes proportional, the first is to the sum or difference of the first and second, as the third is to the sum or difference of the third and fourth.
Σελίδα 20 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Σελίδα 116 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Σελίδα 156 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.
Σελίδα 28 - Similar triangles are to one another in the duplicate ratio of their homologous sides.