Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 50.
Σελίδα 5
... face ; or , apart from all surfaces , as extension in three dimen- sions - length , breadth , and thickness . 39 The point , line , surface , and solid are the four fundamental concepts in Geometry . GEOMETRIC CONCEPTS DEFINED 40 A ...
... face ; or , apart from all surfaces , as extension in three dimen- sions - length , breadth , and thickness . 39 The point , line , surface , and solid are the four fundamental concepts in Geometry . GEOMETRIC CONCEPTS DEFINED 40 A ...
Σελίδα 284
... faces , and AB is the B edge , of the diedral angle . K E C -H 552 A diedral angle may be designated by four letters , one in each face and two in the edge , the two in the edge being written between the other two ; as , the diedral ...
... faces , and AB is the B edge , of the diedral angle . K E C -H 552 A diedral angle may be designated by four letters , one in each face and two in the edge , the two in the edge being written between the other two ; as , the diedral ...
Σελίδα 288
... faces . 1158 If two planes intersect , the adjacent diedral angles are supple- mentary . 1159 If a plane intersects two parallel planes , the alternate interior diedral angles are equal ; the corresponding diedral angles are equal ...
... faces . 1158 If two planes intersect , the adjacent diedral angles are supple- mentary . 1159 If a plane intersects two parallel planes , the alternate interior diedral angles are equal ; the corresponding diedral angles are equal ...
Σελίδα 291
... faces of the angle . M G HYPOTHESIS . A is any point in the plane EH which bisects the diedral angle G - EB - F , AC and AD are perpendiculars drawn from A to the faces EF and EG . CONCLUSION . ACAD . PROOF Pass a plane MN through AC ...
... faces of the angle . M G HYPOTHESIS . A is any point in the plane EH which bisects the diedral angle G - EB - F , AC and AD are perpendiculars drawn from A to the faces EF and EG . CONCLUSION . ACAD . PROOF Pass a plane MN through AC ...
Σελίδα 296
... faces ; the intersec- tions of the faces , SA , SB , etc. , are the edges ; and the angles ASB , BSC , etc. , are the face angles of the polyedral angle . Two consecu- tive faces of a polyedral angle form a die- dral angle . A S 581 The ...
... faces ; the intersec- tions of the faces , SA , SB , etc. , are the edges ; and the angles ASB , BSC , etc. , are the face angles of the polyedral angle . Two consecu- tive faces of a polyedral angle form a die- dral angle . A S 581 The ...
Περιεχόμενα
17 | |
30 | |
53 | |
62 | |
69 | |
78 | |
91 | |
111 | |
239 | |
254 | |
262 | |
268 | |
284 | |
296 | |
303 | |
321 | |
125 | |
132 | |
140 | |
154 | |
164 | |
184 | |
192 | |
199 | |
212 | |
216 | |
225 | |
338 | |
344 | |
353 | |
365 | |
374 | |
382 | |
392 | |
400 | |
411 | |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed circle CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus Find the ratio frustum given circle given line given point homologous sides hypotenuse HYPOTHESIS inches inscribed intersecting isosceles trapezoid isosceles triangle lateral area legs line of centers mean proportional median mid-points number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segments similar triangles slant height SOLUTION sphere spherical polygon spherical triangle straight line surface tangent THEOREM trapezoid triangle ABC triedral vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 168 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... 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 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 242 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...