Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 9
... unequal , and that difference will be greater which is obtained from the greater magnitude . 8. The whole is greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. A straight line is the shortest ...
... unequal , and that difference will be greater which is obtained from the greater magnitude . 8. The whole is greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. A straight line is the shortest ...
Σελίδα 15
... unequal , draw BM to A D , at B. LABC + Z CB D H PROP . I. ARTS . 17 , 18 . A B D. ) 2 rt . Zs . ART . 22 . Ax . 1 . LABM + Z MBD . ( Because each sum equals the st . But LABM + Z MB D Hence , A B C + Z CB D - = 2 rt . Zs . 48 ...
... unequal , draw BM to A D , at B. LABC + Z CB D H PROP . I. ARTS . 17 , 18 . A B D. ) 2 rt . Zs . ART . 22 . Ax . 1 . LABM + Z MBD . ( Because each sum equals the st . But LABM + Z MB D Hence , A B C + Z CB D - = 2 rt . Zs . 48 ...
Σελίδα 26
... unequal . B M Let B C represent a straight line , M its middle point , O M , a perpendicular to B C , at the point M , A , a point not in the perpendicular , and A B and A C lines drawn from A to the extremities of the line B C. To ...
... unequal . B M Let B C represent a straight line , M its middle point , O M , a perpendicular to B C , at the point M , A , a point not in the perpendicular , and A B and A C lines drawn from A to the extremities of the line B C. To ...
Σελίδα 53
... unequal , the sides opposite them are unequal , the greater side being opposite the greater angle . B M A C Let A B C represent a triangle in which the angle C is eater than the angle B. To prove that the side B A is greater than the ...
... unequal , the sides opposite them are unequal , the greater side being opposite the greater angle . B M A C Let A B C represent a triangle in which the angle C is eater than the angle B. To prove that the side B A is greater than the ...
Σελίδα 53
... unequal , the des opposite them are unequal , the greater side being pposite the greater angle . M B Let A B C represent a triangle in which the angle C is reater than the angle B. To prove that the side B A is greater than the side C A ...
... unequal , the des opposite them are unequal , the greater side being pposite the greater angle . M B Let A B C represent a triangle in which the angle C is reater than the angle B. To prove that the side B A is greater than the side C A ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D A B C and D E F A B sustain A C equals adjacent angles altitude angles are equal apothem arc A B bisects chord circumference circumscribed Compare the ratios Compare Zs construct COROLLARY cylinder diagonal diameter dihedral angles distance draw drawn equal circles equal in area equally distant equals the ratio frustum Give auth given line given point Hence hypotenuse inscribed angle intersect isosceles triangle lateral area lateral edges Let A B C represent line A B locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane M N polyhedron prism Prop PROPOSITION XVIII pyramid radii radius rectangle regular polygon respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle subtended tangent THEOREM triangles A B C trihedral unit of measure vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 137 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 48 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 138 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 59 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Σελίδα 292 - ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Σελίδα 211 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection of AB upon plane MN.
Σελίδα 119 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 96 - It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d.
Σελίδα 254 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three...
Σελίδα 263 - That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of the radii of their bases.