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 93.
Σελίδα 7
... the side DF , and the side BC equal to the side EF , the angle C equal to the an- gle F , then will the two tri- angles be identical , or equal B in all respects . CE For , conceive the triangle ABC to be applied to AXIOMS .
... the side DF , and the side BC equal to the side EF , the angle C equal to the an- gle F , then will the two tri- angles be identical , or equal B in all respects . CE For , conceive the triangle ABC to be applied to AXIOMS .
Σελίδα 8
... triangle ABC to be applied to , or placed on , the triangle DEF , in such a manner that the point C may coincide with the point F , and the side AC with the side DF , which is equal to it . Then , since the angle F is equal to the angle ...
... triangle ABC to be applied to , or placed on , the triangle DEF , in such a manner that the point C may coincide with the point F , and the side AC with the side DF , which is equal to it . Then , since the angle F is equal to the angle ...
Σελίδα 9
... ABC have the side AC equal to the side AB , then will the angle B be equal to the angle C. For , conceive the angle A to be bisected , or divided into two equal parts , by the line AD , making ... triangle ABC ( th . 1 ) . A 2 THEOREMS . 9.
... ABC have the side AC equal to the side AB , then will the angle B be equal to the angle C. For , conceive the angle A to be bisected , or divided into two equal parts , by the line AD , making ... triangle ABC ( th . 1 ) . A 2 THEOREMS . 9.
Σελίδα 10
... triangle ABC ( th . 1 ) . That is , a part is equal to the whole , which is impossible ( ax . 8 ) . Hence there is no inequality of the sides AB and AC ; that is , they are equal , and the triangle is isosceles . Q. E. D. Corollary ...
... triangle ABC ( th . 1 ) . That is , a part is equal to the whole , which is impossible ( ax . 8 ) . Hence there is no inequality of the sides AB and AC ; that is , they are equal , and the triangle is isosceles . Q. E. D. Corollary ...
Σελίδα 12
... angle AED is equal to the opposite angle BEC . THEOREM VIII . When one side of a triangle is produced , the exterior angle is greater than either of the two interior opposite angles . Let ABC be a triangle , having the side AB produced ...
... angle AED is equal to the opposite angle BEC . THEOREM VIII . When one side of a triangle is produced , the exterior angle is greater than either of the two interior opposite angles . Let ABC be a triangle , having the side AB produced ...
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.