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 100.
Σελίδα 8
... manner that the side AB may fall ex- actly on the equal side DE . Then , since the angle A is equal to the angle D ( by hyp . ) , the side AC must fall on the side DF ; and , in like manner , because the angle B is equal to the angle E ...
... manner that the side AB may fall ex- actly on the equal side DE . Then , since the angle A is equal to the angle D ( by hyp . ) , the side AC must fall on the side DF ; and , in like manner , because the angle B is equal to the angle E ...
Σελίδα 10
... manner , in the triangle BCD , the angle BCD is equal to the angle BDC , because the side BC is equal to BD . Hence , then , the angle ACD being equal to the an- gle ADC , and the angle BCD to the angle BDC , by equal additions the sum ...
... manner , in the triangle BCD , the angle BCD is equal to the angle BDC , because the side BC is equal to BD . Hence , then , the angle ACD being equal to the an- gle ADC , and the angle BCD to the angle BDC , by equal additions the sum ...
Σελίδα 12
... manner , the line BE , meeting the line CD , makes the two angles BEC , BED , equal to two right angles . Therefore , the sum of the two angles AEC , BEC , is equal to the sum of the two BEC , BED ( ax . 1 ) . And if the angle BEC ...
... manner , the line BE , meeting the line CD , makes the two angles BEC , BED , equal to two right angles . Therefore , the sum of the two angles AEC , BEC , is equal to the sum of the two BEC , BED ( ax . 1 ) . And if the angle BEC ...
Σελίδα 13
... manner , if CB be produced to G , and AB be bi- sected , it may be shown that the outward angle ABG , or its equal CBD , is greater than the other angle A. THEOREM IX . The greater side of every triangle is opposite to the greater angle ...
... manner , if CB be produced to G , and AB be bi- sected , it may be shown that the outward angle ABG , or its equal CBD , is greater than the other angle A. THEOREM IX . The greater side of every triangle is opposite to the greater angle ...
Σελίδα 29
... manner , the parallelogram CK is double the triangle ACD , on the same base CD , and between the same parallels CD , AK . And since the doubles of equal things are equal ( by ax . 6 ) , therefore the square CG is equal to the ...
... manner , the parallelogram CK is double the triangle ACD , on the same base CD , and between the same parallels CD , AK . And since the doubles of equal things are equal ( by ax . 6 ) , therefore the square CG is equal to the ...
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.