Elements of Plane and Solid Geometry: And of Plane and Spherical Trigonometry ; to which is Added Mensuration, Surveying, and NavigationHarper, 1867 - 283 σελίδες |
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Αποτελέσματα 1 - 5 από τα 77.
Σελίδα 14
... difference of any two sides of a triangle is less than the third side . THEOREM XI . If from a point within a triangle two lines be drawn to the extremities of either side , their sum will be less than the sum of the other two sides of ...
... difference of any two sides of a triangle is less than the third side . THEOREM XI . If from a point within a triangle two lines be drawn to the extremities of either side , their sum will be less than the sum of the other two sides of ...
Σελίδα 27
... difference of two lines is less than the sum of their squares by twice the rectangle of the said lines . Let AC , BC , be any two lines , and AB their G difference ; then will the square of AB be less E than the squares of AC , BC , by ...
... difference of two lines is less than the sum of their squares by twice the rectangle of the said lines . Let AC , BC , be any two lines , and AB their G difference ; then will the square of AB be less E than the squares of AC , BC , by ...
Σελίδα 28
... difference of two lines is * equal to the difference of the squares of those lines . * G Let AB , AC , be any two unequal lines ; E then will the difference of the squares of AB , AC , be equal to a rectangle under their sum and difference ...
... difference of two lines is * equal to the difference of the squares of those lines . * G Let AB , AC , be any two unequal lines ; E then will the difference of the squares of AB , AC , be equal to a rectangle under their sum and difference ...
Σελίδα 29
... difference of the squares of the hypothenuse and the other side ( ax . 3 ) , or equal to the rectangle con- tained by the sum and difference of the said hypothenuse and other side ( th . 33 ) . Corol . 2. Hence , also , if two right ...
... difference of the squares of the hypothenuse and the other side ( ax . 3 ) , or equal to the rectangle con- tained by the sum and difference of the said hypothenuse and other side ( th . 33 ) . Corol . 2. Hence , also , if two right ...
Σελίδα 30
... difference of the squares of the two sides is equal to the difference of the squares of the segments of the base , or of the two lines or distances included between the ex- tremes of the base and the perpendicular . Let ABC be any ...
... difference of the squares of the two sides is equal to the difference of the squares of the segments of the base , or of the two lines or distances included between the ex- tremes of the base and the perpendicular . Let ABC be any ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane and Solid Geometry, and of Plane and Spherical Trigonometry Gerardus Beekman Docharty Περιορισμένη προεπισκόπηση - 2022 |
Elements of Plane and Solid Geometry, and of Plane and Spherical Trigonometry Gerardus Beekman Docharty Περιορισμένη προεπισκόπηση - 2022 |
Elements of Plane and Solid Geometry, and of Plane and Spherical ... Gerardus Beekman Docharty Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent allel altitude angles equal bisect centre chord circle circumference cone consequently convex surface cosec cosine cylinder departure diameter diff difference of latitude divided draw drawn equal angles equal th equation equiangular equilateral exterior angle feet figure find the area following RULE formula frustum Geom given angle given line Hence included angle inscribed intersection join latitude Let ABC logarithms longitude measured by half Multiply opposite angles parallel parallelogram perpen perpendicular plane XZ polygon prism Prob PROBLEM produced Prop proportional PROPOSITION pyramid Q. E. D. Corol Q. E. D. THEOREM quadrant quantities radii radius ratio rectangle regular polygon right angles right-angled triangle segment semicircle side BC sine slant height solid angle sphere spherical angle spherical triangle SPHERICAL TRIGONOMETRY square straight line tangent trian triangle ABC versin
Δημοφιλή αποσπάσματα
Σελίδα 15 - THE Angle formed by a Tangent to a Circle, and a Chord drawn from the Point of Contact, is Equal to the Angle in the Alternate Segment.
Σελίδα 2 - If a straight line be divided into any two parts, the square on the whole line is...
Σελίδα 40 - The areas or spaces of circles are to each other as the squares of their diameters or of their radii.
Σελίδα 83 - A cone is a solid figure described by the revolution of a rightangled triangle about one of the sides containing the right angle, which side remains fixed.
Σελίδα 67 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Σελίδα 1 - When a line is mentioned simply, it means a Right Line. 7. A Curve continually changes its direction between its extreme points. 8. Lines are either Parallel, Oblique, Perpendicular, or Tangential. 9. Parallel Lines are always at the same perpendicular distance; and they never meet though ever so far produced. 10. Oblique lines change their distance, and would meet, if produced on the side of the Jeast distance.
Σελίδα 24 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Σελίδα 25 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.