Plane Geometry: A Complete Course in the Elements of the ScienceChristopher Sower Company, 1901 - 266 σελίδες |
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Σελίδα 100
... INSCRIBED ANGLE is an angle whose vertex is in the circumference and whose sides are chords ; as ABC in the next figure . 12. An angle is inscribed in a seg- ment when its vertex is in the arc of the segment and its sides pass through ...
... INSCRIBED ANGLE is an angle whose vertex is in the circumference and whose sides are chords ; as ABC in the next figure . 12. An angle is inscribed in a seg- ment when its vertex is in the arc of the segment and its sides pass through ...
Σελίδα 101
... inscribed in the polygon . 15. From the conception of a circle and its parts we per- ceive the following truths to be self - evident . AXIOMS . 1. The radii of a circle , or of equal circles , are equal . 2. Every diameter of a circle ...
... inscribed in the polygon . 15. From the conception of a circle and its parts we per- ceive the following truths to be self - evident . AXIOMS . 1. The radii of a circle , or of equal circles , are equal . 2. Every diameter of a circle ...
Σελίδα 119
... inscribed angle is measured by one - half its intercepted arc . There may be three cases ; the centre of the circle may be in one of the sides of the angle ; it may be within the angle ; or , it may be without the angle . CASE I - Let ...
... inscribed angle is measured by one - half its intercepted arc . There may be three cases ; the centre of the circle may be in one of the sides of the angle ; it may be within the angle ; or , it may be without the angle . CASE I - Let ...
Σελίδα 121
... inscribed in less than a semi - circle , is greater than a right angle . For it is measured by more than one - half of a semi - circumference . COR . 4. - All the angles inscribed in the same segment are equal . E E C For they are ...
... inscribed in less than a semi - circle , is greater than a right angle . For it is measured by more than one - half of a semi - circumference . COR . 4. - All the angles inscribed in the same segment are equal . E E C For they are ...
Σελίδα 125
... inscribed triangle is 45 ° ; what is the value of the angle on the base of the triangle having its vertex in the opposite segment ? 5. The two arcs included between two chords which intersect are respectively 46 ° and 38 ° ; required ...
... inscribed triangle is 45 ° ; what is the value of the angle on the base of the triangle having its vertex in the opposite segment ? 5. The two arcs included between two chords which intersect are respectively 46 ° and 38 ° ; required ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry: A Complete Course in the Elements of the Science Edward Brooks, Jr. Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABC and DEF ABCD AC² acute angle adjacent angles altitude angle equal angles ACD angles are equal apothem base BC² bisector centre chord circumference circumscribed circle construct a square decagon denote diagonals diameter distance divided draw equal angles equally distant equiangular equiangular polygon equilateral triangle exterior angle figure geometry given angle given circle given line given point greater Hence homologous hypotenuse inches inscribed circle inscribed regular intersect isosceles triangle Let ABC line joining mean proportional measured by one-half middle points number of sides obtuse parallel parallelogram perimeter perpendicular Proof PROPOSITION prove quadrilateral quantities radii radius ratio rectangle regular hexagon regular polygon respectively equal rhombus right angles right triangle SCHOLIUM secant segments similar square equivalent suppose tangent theorem trapezoid triangle ABC triangles are equal vertex vertical angle Whence
Δημοφιλή αποσπάσματα
Σελίδα 112 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 244 - 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 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 60 - If two triangles have two sides of the 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 57 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 28 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Σελίδα 48 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.
Σελίδα 53 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Σελίδα 183 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 156 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.
Σελίδα 179 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.