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 100.
Σελίδα 8
... right angles to the given line . For thus there are formed two triangles having the three sides of one respectively to those of the other , ... , & c . Schol . In the same manner a ... right angles . PROP . 14 , THEOR . If two right lines 8.
... right angles to the given line . For thus there are formed two triangles having the three sides of one respectively to those of the other , ... , & c . Schol . In the same manner a ... right angles . PROP . 14 , THEOR . If two right lines 8.
Σελίδα 9
... angles with it , which are together equal to two right angles , those two right lines form one continued right line . For let it be supposed that one of them be produced beyond the vertex of the angles so as that the produced part shall ...
... angles with it , which are together equal to two right angles , those two right lines form one continued right line . For let it be supposed that one of them be produced beyond the vertex of the angles so as that the produced part shall ...
Σελίδα 10
Euclides James Luby. nal angle is proved greater than the other internal remote angle ... right lines be drawn to the same right line , one of them perpendicular to ... angles of a triangle are together less than two right angles . Produce any ...
Euclides James Luby. nal angle is proved greater than the other internal remote angle ... right lines be drawn to the same right line , one of them perpendicular to ... angles of a triangle are together less than two right angles . Produce any ...
Σελίδα 15
... right lines and makes the ex- ternal angle equal to the internal and opposite on the same side of the line , or makes the internal angles on the same side together , equal to two right angles , the two right lines are parallel to one ...
... right lines and makes the ex- ternal angle equal to the internal and opposite on the same side of the line , or makes the internal angles on the same side together , equal to two right angles , the two right lines are parallel to one ...
Σελίδα 16
... right line , they are parallel to one another . Let a right line be drawn cutting the three given lines , this drawn line makes with each pair of parallel lines an external ... right angles . Cor . 1. Hence in a triangle if one angle 16.
... right line , they are parallel to one another . Let a right line be drawn cutting the three given lines , this drawn line makes with each pair of parallel lines an external ... right angles . Cor . 1. Hence in a triangle if one angle 16.
Άλλες εκδόσεις - Προβολή όλων
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.