The Elements of Geometry, Symbolically Arranged |
Inni boken
Resultat 1-5 av 14
Side 16
... equilateral is also equiangular . PROP . V. THEOR . OTHERWISE DEMONSTRATED . The angles at the base of an isosceles triangle are equal to one another . Let ABC be an isosc . , having the side AB = side AC ; then will △ ABC = △ ACB . A ...
... equilateral is also equiangular . PROP . V. THEOR . OTHERWISE DEMONSTRATED . The angles at the base of an isosceles triangle are equal to one another . Let ABC be an isosc . , having the side AB = side AC ; then will △ ABC = △ ACB . A ...
Side 18
... equiangular triangle is equilateral . PROP . VII . THEOR . If two triangles have three sides of the one re- spectively equal to the three sides of the other , each to each , the triangles are equal , and the angles are equal which are ...
... equiangular triangle is equilateral . PROP . VII . THEOR . If two triangles have three sides of the one re- spectively equal to the three sides of the other , each to each , the triangles are equal , and the angles are equal which are ...
Side 95
... Equiangular triangles have their correspond- ing sides about the equal angles in the same proportion . Let ABC , DEF be equiangular As , having Zs A , B , C , respectively equal to s D , E , F , ea . to ea .; then shall AB : AC :: DE ...
... Equiangular triangles have their correspond- ing sides about the equal angles in the same proportion . Let ABC , DEF be equiangular As , having Zs A , B , C , respectively equal to s D , E , F , ea . to ea .; then shall AB : AC :: DE ...
Side 96
... equiangular triangles , & c . COR . - Equiangular triangles are similar . PROP . LXXIV . THEOR . 6. 6 Eu . Two triangles are equiangular , when an angle in the one is equal to an angle in the other , and the sides about the equal angles ...
... equiangular triangles , & c . COR . - Equiangular triangles are similar . PROP . LXXIV . THEOR . 6. 6 Eu . Two triangles are equiangular , when an angle in the one is equal to an angle in the other , and the sides about the equal angles ...
Side 97
... equiangular . Wherefore if two triangles , & c . PROP . LXXV . THEOR . 8. 6 Eu . In a right angled triangle , if a perpendicu- lar be drawn from the right angle to the opposite side , the triangles on each side of the perpendicular are ...
... equiangular . Wherefore if two triangles , & c . PROP . LXXV . THEOR . 8. 6 Eu . In a right angled triangle , if a perpendicu- lar be drawn from the right angle to the opposite side , the triangles on each side of the perpendicular are ...
Andre utgaver - Vis alle
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.