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 39.
Σελίδα 5
... isosceles triangle and cut off seg . in one , respectively = to a side of isosceles triangle and cut off seg in the other ,. ( by the 4th , ) the bases , ( viz . the trans . lines ) are , and also the angles at the bases , ( viz . those ...
... isosceles triangle and cut off seg . in one , respectively = to a side of isosceles triangle and cut off seg in the other ,. ( by the 4th , ) the bases , ( viz . the trans . lines ) are , and also the angles at the bases , ( viz . those ...
Σελίδα 6
... isosceles triangle are = ( by the 5th ; ) and of the angles above the base of the other isosceles triangle , one of them is much greater than the other , but they are also , which is absurd . 3dly , If the vertex of one triangle be ...
... isosceles triangle are = ( by the 5th ; ) and of the angles above the base of the other isosceles triangle , one of them is much greater than the other , but they are also , which is absurd . 3dly , If the vertex of one triangle be ...
Σελίδα 13
... isosceles tri- angle , whilst the side subtending the greater angle , is op posite to an angle greater than the other angle of the isosceles triangle at the same base . ) The reason why the angle is made with the side which is not the ...
... isosceles tri- angle , whilst the side subtending the greater angle , is op posite to an angle greater than the other angle of the isosceles triangle at the same base . ) The reason why the angle is made with the side which is not the ...
Σελίδα 14
... isosceles triangle , the right line drawn from the vertex perpendicular to the base , bisects the base and vertical angle . For , the triangles thus formed have two angles , and one side in each respectively . the other sides and angles ...
... isosceles triangle , the right line drawn from the vertex perpendicular to the base , bisects the base and vertical angle . For , the triangles thus formed have two angles , and one side in each respectively . the other sides and angles ...
Σελίδα 17
... isosceles triangle , each angle at the base is half a right angle . Cor . 4. Each angle of an equilateral triangle is to a third part of two right angles . Cor . 5 Hence can be derived a method of trisecting a right angle ; by assuming ...
... isosceles triangle , each angle at the base is half a right angle . Cor . 4. Each angle of an equilateral triangle is to a third part of two right angles . Cor . 5 Hence can be derived a method of trisecting a right angle ; by assuming ...
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.