Elements of GeometryAmerican Book Company, 1896 - 540 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 68.
Σελίδα 43
... find the third angle . · a AAW B A On any line OA construct angle a ' = a , and on OB at the same vertex O construct b ' = b . Produce OA to D making the angle x with OC . x is the angle required . [ Prove by § 60. ] 88. CONSTRUCTION ...
... find the third angle . · a AAW B A On any line OA construct angle a ' = a , and on OB at the same vertex O construct b ' = b . Produce OA to D making the angle x with OC . x is the angle required . [ Prove by § 60. ] 88. CONSTRUCTION ...
Σελίδα 44
Andrew Wheeler Phillips, Irving Fisher. Find ( by 87 ) x the third angle of the triangle . Draw any straight line AB equal to m , and at A and B construct whichever two angles of the three , a , b , x , be re- quired to be adjacent to ...
Andrew Wheeler Phillips, Irving Fisher. Find ( by 87 ) x the third angle of the triangle . Draw any straight line AB equal to m , and at A and B construct whichever two angles of the three , a , b , x , be re- quired to be adjacent to ...
Σελίδα 87
... find its ratic to another quantity of the same kind . The second quantity is called the unit of measure ; the ratio is called the nu- merical measure of the first quantity . Thus we measure the length of a rope by finding the number of ...
... find its ratic to another quantity of the same kind . The second quantity is called the unit of measure ; the ratio is called the nu- merical measure of the first quantity . Thus we measure the length of a rope by finding the number of ...
Σελίδα 102
... Find centres , as in § 215 . 218. Def . - A circle is said to be circumscribed about a polygon , if the circumference of the circle passes through every vertex of the polygon . In the same case , the poly gon is said to be inscribed in ...
... Find centres , as in § 215 . 218. Def . - A circle is said to be circumscribed about a polygon , if the circumference of the circle passes through every vertex of the polygon . In the same case , the poly gon is said to be inscribed in ...
Σελίδα 104
... find the centre of a given circumfer- ence or arc . $ 166 221. CONSTRUCTION . To construct a tangent to a given circle from a given point without . O GIVEN TO CONSTRUCT the circle O and the point A without . from A a tangent to the ...
... find the centre of a given circumfer- ence or arc . $ 166 221. CONSTRUCTION . To construct a tangent to a given circle from a given point without . O GIVEN TO CONSTRUCT the circle O and the point A without . from A a tangent to the ...
Περιεχόμενα
2 | |
15 | |
32 | |
60 | |
66 | |
75 | |
87 | |
106 | |
154 | |
170 | |
193 | |
196 | |
202 | |
229 | |
235 | |
246 | |
257 | |
270 | |
282 | |
288 | |
308 | |
326 | |
335 | |
420 | |
430 | |
444 | |
456 | |
463 | |
469 | |
491 | |
497 | |
504 | |
511 | |
515 | |
523 | |
529 | |
538 | |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles allel altitude angles are equal apothem axis bisecting bisector centre chord circumference circumscribed coincide construct Def.-The Defs Defs.-A diagonals diameter diedral angles distance divided draw equally distant equilateral triangle equivalent Exercise.-The face angles figure Find the area frustum geometry given circle given line given point given straight line GIVEN TO PROVE given triangle Hence hypotenuse lateral area lateral edges lateral faces locus meet middle points number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane geometry plane MN polyedral angle polyedron prism prismatic surface pyramid Q. E. D. PROPOSITION quadrilateral radical axis radii radius ratio of similitude rectangle regular polygon right angles right triangle segment similar slant height sphere spherical polygon spherical triangle square straight line joining surface symmetrical tangent tetraedron THEOREM triangle ABC triangles are equal triangular prism triedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - If two triangles have two sides and the included angle of one, equal respectively to two sides and the included angle of the other, the triangles are equal. C...
Σελίδα 466 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Σελίδα 315 - The frustum of a triangular pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and a mean proportional between the two bases of the frustum.
Σελίδα 205 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Σελίδα 36 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 379 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Σελίδα 138 - ... twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 57 - 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 137 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Σελίδα 147 - The product of two sides of a triangle is equal to the product of the diameter of the circumscribed circle and the altitude upon the third side.