The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 σελίδες |
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Αποτελέσματα 1 - 5 από τα 66.
Σελίδα 16
... angle if it is three times its complement . 2. Find the number of degrees in an angle if its com- plement and supplement are together equal to 110 ° . Proposition 4. Theorem . 55. If two straight lines intersect 16 PLANE GEOMETRY .
... angle if it is three times its complement . 2. Find the number of degrees in an angle if its com- plement and supplement are together equal to 110 ° . Proposition 4. Theorem . 55. If two straight lines intersect 16 PLANE GEOMETRY .
Σελίδα 17
... intersect each other , the four angles which they make at the point of intersection , are together equal to four right angles . If one of the four angles is a right angle , the other three are right angles , and the lines are mutually ...
... intersect each other , the four angles which they make at the point of intersection , are together equal to four right angles . If one of the four angles is a right angle , the other three are right angles , and the lines are mutually ...
Σελίδα 31
... intersect in G. M H A D Then since the s AB and DE are cut by BC , .. ZABC = < DGC . And since the Is BC and MF are cut by DH , . ' . ≤ DGC = / DEF . .. ZABCDEF . / DEF is the supplement of DEM . .. ABC is supplementary to ≤ DEM . F ...
... intersect in G. M H A D Then since the s AB and DE are cut by BC , .. ZABC = < DGC . And since the Is BC and MF are cut by DH , . ' . ≤ DGC = / DEF . .. ZABCDEF . / DEF is the supplement of DEM . .. ABC is supplementary to ≤ DEM . F ...
Σελίδα 37
... intersection F. ... the two As coincide in all their parts , and are equal . Q.E.D. 106. COR . 1. Two right - angled triangles are equal when the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an ...
... intersection F. ... the two As coincide in all their parts , and are equal . Q.E.D. 106. COR . 1. Two right - angled triangles are equal when the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an ...
Σελίδα 50
... intersect at O. To prove AO OC , DO OB . = = Proof . In the As AOB , COD , and AB = DC , being opp . sides of the ( 129 ) , ZABO CDO , = 2BAO = LDCO , being alt . - int . Ls ( 72 ) . .. AAOB = A COD , having a side and the two adj . Ls ...
... intersect at O. To prove AO OC , DO OB . = = Proof . In the As AOB , COD , and AB = DC , being opp . sides of the ( 129 ) , ZABO CDO , = 2BAO = LDCO , being alt . - int . Ls ( 72 ) . .. AAOB = A COD , having a side and the two adj . Ls ...
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Άλλες εκδόσεις - Προβολή όλων
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Σελίδα 188 - Two triangles having 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.
Σελίδα 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Σελίδα 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Σελίδα 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
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 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Σελίδα 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.