The Elements of Geometry, Symbolically Arranged |
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Resultat 1-5 av 9
Side 89
... proportional between a and b . - DEF . 3. Similar rectilineal figures are those which have their respective angles equal to each other , and the sides about the equal angles proportional . Hyp . Hyp . PROP . LXV . THEOR . DEFINITIONS . 89.
... proportional between a and b . - DEF . 3. Similar rectilineal figures are those which have their respective angles equal to each other , and the sides about the equal angles proportional . Hyp . Hyp . PROP . LXV . THEOR . DEFINITIONS . 89.
Side 91
... proportional quantities , represented numerically as a : b :: c : d :: e : f , & c .; then will one antecedent be to its consequent , as the sum of all the antece- dents to the sum of all the consequents ; or a : b :: a + c + e , & c ...
... proportional quantities , represented numerically as a : b :: c : d :: e : f , & c .; then will one antecedent be to its consequent , as the sum of all the antece- dents to the sum of all the consequents ; or a : b :: a + c + e , & c ...
Side 93
... proportionally : and if the sides be cut proportionally , the straight line which joins the points of section shall be parallel to the remaining side of the triangle . 1st . Draw DE || BC one of the sides of the ABC ; then shall DB : AD ...
... proportionally : and if the sides be cut proportionally , the straight line which joins the points of section shall be parallel to the remaining side of the triangle . 1st . Draw DE || BC one of the sides of the ABC ; then shall DB : AD ...
Side 94
... proportionally in pts . D , E , so that DB : AD :: EC : AE , or AB : AC :: AD : AE ; join DE : then shall DE || BC . ABDE ΔΑΡΕ AD ᎠᏴ As before ACDE EC - Hyp . and since ADE DB AD AE AE EC - ABDE ACDE = ADE ADE ' ABDE = ACDE , 94 ...
... proportionally in pts . D , E , so that DB : AD :: EC : AE , or AB : AC :: AD : AE ; join DE : then shall DE || BC . ABDE ΔΑΡΕ AD ᎠᏴ As before ACDE EC - Hyp . and since ADE DB AD AE AE EC - ABDE ACDE = ADE ADE ' ABDE = ACDE , 94 ...
Side 98
... 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 , ABC ...
... 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 , ABC ...
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The Elements of Geometry, Symbolically Arranged Great Britain. Admiralty Uten tilgangsbegrensning - 1846 |
The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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...
Side 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...
Side 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.
Side 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.
Side 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...
Side 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.
Side 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.
Side 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.