The Elements of Geometry, Symbolically Arranged |
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Σελίδα 88
... means of the number of equal parts or units they each contain ; and ratio is the relation which two such quan- tities have to each other , determined by con- sidering what fractional part one is of the other when both quantities are ...
... means of the number of equal parts or units they each contain ; and ratio is the relation which two such quan- tities have to each other , determined by con- sidering what fractional part one is of the other when both quantities are ...
Σελίδα 89
... means . And in any proportion if the means are equal to each other , i . e . if a : b :: b : c , thén b is said to be a mean proportional between a and b . - DEF . 3. Similar rectilineal figures are those which have their respective ...
... means . And in any proportion if the means are equal to each other , i . e . if a : b :: b : c , thén b is said to be a mean proportional between a and b . - DEF . 3. Similar rectilineal figures are those which have their respective ...
Σελίδα 98
... mean proportional between the segments BD , DC , of the base BC . And each of the sides AB , AC , is a mean proportional between the base BC and the segment adjacent to the side . For in the As , BDA , ADC , BD : DA :: DA : DC ; As ...
... mean proportional between the segments BD , DC , of the base BC . And each of the sides AB , AC , is a mean proportional between the base BC and the segment adjacent to the side . For in the As , BDA , ADC , BD : DA :: DA : DC ; As ...
Σελίδα 100
... mean , be- tween the readings of two opposite Verniers . PROP . LXXVIII . THEOR . If an angle of a triangle be bisected by a straight line which cuts the base ; the rect- angle contained by the sides of the triangle is equal to the ...
... mean , be- tween the readings of two opposite Verniers . PROP . LXXVIII . THEOR . If an angle of a triangle be bisected by a straight line which cuts the base ; the rect- angle contained by the sides of the triangle is equal to the ...
Σελίδα 113
... means of Prop . 39 . 29. One side of a right - angled triangle is 645 , and the hypothenuse 824 ; find the re- maining side by the same Prop . 30. If the sides of a right - angled triangle be a and b , and the hypothenuse h , show alge ...
... means of Prop . 39 . 29. One side of a right - angled triangle is 645 , and the hypothenuse 824 ; find the re- maining side by the same Prop . 30. If the sides of a right - angled triangle be a and b , and the hypothenuse h , show alge ...
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
2ndly ABCD AC² angle contained angle equal base BC CB² centre circle circumference coincides Constr descr diam diameter dist divided equal angles equiangular equilat exterior angle figure given point given str given straight line gnomon greater isosceles triangle join Let ABC Let str Let the str line be drawn meet number of equal oppo opposite angle opposite sides parallel parallelogram perpendicular polygon PROB prod Prop rect rectangle contained rectilineal right angles right-angled triangle semi sides equal square THEOR touch trapezium Wherefore whole fig Нур
Δημοφιλή αποσπάσματα
Σελίδα 60 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 34 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 62 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Σελίδα 38 - Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to...
Σελίδα 63 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Σελίδα 23 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 39 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Σελίδα 5 - 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 : XVI.
Σελίδα 79 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.