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 42.
Σελίδα 10
... adjacent internal are to two right an- gles . this internal with either of the other internal angles are less than two right angles . Thus any two an- gles of a triangle can be proved less than two right angles . Cor . 1. If any angle ...
... adjacent internal are to two right an- gles . this internal with either of the other internal angles are less than two right angles . Thus any two an- gles of a triangle can be proved less than two right angles . Cor . 1. If any angle ...
Σελίδα 14
... adjacent to the each , the sides opposite to either of the angles shall be , for if not cut off from the greater , a part = to the less and conterminous with the given side ; and draw a right line from the extremity of that part , to ...
... adjacent to the each , the sides opposite to either of the angles shall be , for if not cut off from the greater , a part = to the less and conterminous with the given side ; and draw a right line from the extremity of that part , to ...
Σελίδα 15
... adjacent internal with the other internal , also to two right angles ... & c . PROP . 29 , THEOR . If a right line intersect two parallel right lines , it makes the alternate angles equal ; and the external angle equal to the internal ...
... adjacent internal with the other internal , also to two right angles ... & c . PROP . 29 , THEOR . If a right line intersect two parallel right lines , it makes the alternate angles equal ; and the external angle equal to the internal ...
Σελίδα 16
... adjacent i ternal angle ; ) it di- vides the external angle into two parts respectively = to the internal and remote angles , ( by the 29th , ) there- fore , & c . And since the external angle is to the two internal and remote angles ...
... adjacent i ternal angle ; ) it di- vides the external angle into two parts respectively = to the internal and remote angles , ( by the 29th , ) there- fore , & c . And since the external angle is to the two internal and remote angles ...
Σελίδα 17
... adjacent ones , then the figure will be divided into as many trian- gles as it has sides 2 and the angles of each of the trian- gles into which it is divided are to 2. right angles , & c . - Cor . 7. The external angles of any ...
... adjacent ones , then the figure will be divided into as many trian- gles as it has sides 2 and the angles of each of the trian- gles into which it is divided are to 2. right angles , & c . - Cor . 7. The external angles of any ...
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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.