Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página 2
... vertex or summit . In an isosceles triangle , considered as such , the vertex is the angular point between the two equal sides , and the base the side opposite to it . In a right - angled triangle , the side which is opposite to the ...
... vertex or summit . In an isosceles triangle , considered as such , the vertex is the angular point between the two equal sides , and the base the side opposite to it . In a right - angled triangle , the side which is opposite to the ...
Página 6
... vertex A , let this perpendicular , if possible , cut one of the sides as A B in E , and join E C. Then , because the tri- angles ED B , EDC have two sides of the one equal to two sides of the other , each to each , and the included ...
... vertex A , let this perpendicular , if possible , cut one of the sides as A B in E , and join E C. Then , because the tri- angles ED B , EDC have two sides of the one equal to two sides of the other , each to each , and the included ...
Página 7
... vertex , and bisects the ver- tical angle . Cor . 4. If there be two isosceles tri- angles upon the same base ( whether they be upon the same side of it or upon different sides ) , the straight line which joins their vertices or summits ...
... vertex , and bisects the ver- tical angle . Cor . 4. If there be two isosceles tri- angles upon the same base ( whether they be upon the same side of it or upon different sides ) , the straight line which joins their vertices or summits ...
Página 8
... vertex of one of them , as D , fall within the other , the B two sides of that triangle will be less than the two sides of the other . For , if CD be produced to meet the side A B of the en- veloping triangle in E , BD and DC together ...
... vertex of one of them , as D , fall within the other , the B two sides of that triangle will be less than the two sides of the other . For , if CD be produced to meet the side A B of the en- veloping triangle in E , BD and DC together ...
Página 22
... conclusion of Prop . 36. Cor . 1 . PROP . 38 . In every triangle , if a perpendicular be drawn from the vertex to the base , or to the base produced ; the difference of the 22 [ I. § 6 . GEOMETRY . Cor 2 42 6 Cor 2 Prop 2.
... conclusion of Prop . 36. Cor . 1 . PROP . 38 . In every triangle , if a perpendicular be drawn from the vertex to the base , or to the base produced ; the difference of the 22 [ I. § 6 . GEOMETRY . Cor 2 42 6 Cor 2 Prop 2.
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical