The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 4
... less than . ... , therefore . Z , angle . , angles . Ils , parallels . ☐ , parallelogram . [ 5 ] , parallelograms . O , circle . circles . The following abbreviations will also be used : Ax . , Axiom . Sup . , Supplementary . Def ...
... less than . ... , therefore . Z , angle . , angles . Ils , parallels . ☐ , parallelogram . [ 5 ] , parallelograms . O , circle . circles . The following abbreviations will also be used : Ax . , Axiom . Sup . , Supplementary . Def ...
Σελίδα 7
... less than angle ACD ; and let line CD be turned about point C as a pivot towards the position CA. Then , angle BCD will constantly increase ; and angle ACD will constantly diminish , until it becomes less than angle BCD ; and it is ...
... less than angle ACD ; and let line CD be turned about point C as a pivot towards the position CA. Then , angle BCD will constantly increase ; and angle ACD will constantly diminish , until it becomes less than angle BCD ; and it is ...
Σελίδα 9
... less by 37 ° . How many degrees are there in each angle ? PROP . II . THEOREM . 32. If two adjacent angles have their exterior sides in the same straight line , their sum is equal to two right angles . A C B Let angles ACD and BCD have ...
... less by 37 ° . How many degrees are there in each angle ? PROP . II . THEOREM . 32. If two adjacent angles have their exterior sides in the same straight line , their sum is equal to two right angles . A C B Let angles ACD and BCD have ...
Σελίδα 13
... less . How many degrees are there in each angle ? PROP . V. THEOREM . 41. If a perpendicular be erected at the middle point of a straight line , I. Any point in the perpendicular is equally distant from the extremities of the line . II ...
... less . How many degrees are there in each angle ? PROP . V. THEOREM . 41. If a perpendicular be erected at the middle point of a straight line , I. Any point in the perpendicular is equally distant from the extremities of the line . II ...
Σελίδα 24
... less than the sum of the other two sides . PROP . XIV . THEOREM . 62. Any side of a triangle is greater than the difference of the other two sides . A B Given AB , any side of △ ABC ; and side BC > side AC . To Prove AB > BC - AC ...
... less than the sum of the other two sides . PROP . XIV . THEOREM . 62. Any side of a triangle is greater than the difference of the other two sides . A B Given AB , any side of △ ABC ; and side BC > side AC . To Prove AB > BC - AC ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equal respectively equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism Prove pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.