The New Practical Builder and Workman's Companion, Containing a Full Display and Elucidation of the Most Recent and Skilful Methods Pursued by Architects and Artificers ... Including, Also, New Treatises on Geometry ..., a Summary of the Art of Building ..., an Extensive Glossary of the Technical Terms ..., and The Theory and Practice of the Five Orders, as Employed in Decorative ArchitectureThomas Kelly, 1823 - 596 páginas |
Dentro del libro
Resultados 1-5 de 26
Página 14
... triangle ABC , drawn from the vertical angle C to the opposite side AB produced to D. 44. NOTATION . When several angles unite at a point , each angle is indicated by three letters , the middle letter denoting the angular point , and ...
... triangle ABC , drawn from the vertical angle C to the opposite side AB produced to D. 44. NOTATION . When several angles unite at a point , each angle is indicated by three letters , the middle letter denoting the angular point , and ...
Página 18
... triangles ABC , DEF , shall be equal . Suppose the triangle ABC to be placed upon the tri- B D angle DEF , so that AB may be upon DE ; then , because the angles A and D are equal , AC will fall upon DF ; and , because AB is equal to DE ...
... triangles ABC , DEF , shall be equal . Suppose the triangle ABC to be placed upon the tri- B D angle DEF , so that AB may be upon DE ; then , because the angles A and D are equal , AC will fall upon DF ; and , because AB is equal to DE ...
Página 19
... triangle , ABC , the straight line BC is the shortest line that can be drawn from B to C ; therefore the sum of the two sides , BA , AC , is greater than BC . THEOREM 8 . 56. If from any point , as O , within a triangle , ABC , there be ...
... triangle , ABC , the straight line BC is the shortest line that can be drawn from B to C ; therefore the sum of the two sides , BA , AC , is greater than BC . THEOREM 8 . 56. If from any point , as O , within a triangle , ABC , there be ...
Página 20
... triangle ABC , or on the side BC , or within the triangle . CASE 1. - Because GC is less than the sum of the two straight lines GI , IC ; and AB less than the sum of the two straight lines AI , IB : therefore , the sum of the two ...
... triangle ABC , or on the side BC , or within the triangle . CASE 1. - Because GC is less than the sum of the two straight lines GI , IC ; and AB less than the sum of the two straight lines AI , IB : therefore , the sum of the two ...
Página 21
... triangle are equal . Let the side AB be equal to AC ; then shall the angle C ... ABC be equal to ACB , the side AC shall be equal to the side AB . D For , if ... triangle DBC is equal to the triangle ACB , the less to the greater 3 . F ...
... triangle are equal . Let the side AB be equal to AC ; then shall the angle C ... ABC be equal to ACB , the side AC shall be equal to the side AB . D For , if ... triangle DBC is equal to the triangle ACB , the less to the greater 3 . F ...
Términos y frases comunes
ABCD abscissa adjacent angles altitude angle ABD annular vault axes axis major base bisect called centre chord circle circumference cone conic section conjugate contains COROLLARY 1.-Hence cutting cylinder describe a semi-circle describe an arc diameter distance divide draw a curve draw lines draw the lines edge ellipse Engraved equal angles equal to DF equation equiangular figure GEOMETRY given straight line greater groin homologous sides hyperbola intersection join joist latus rectum less Let ABC line of section meet multiplying Nicholson opposite sides ordinate parallel to BC parallelogram perpendicular PLATE points of section polygon PROBLEM produced proportionals quantity radius rectangle regular polygon ribs right angles roof segment similar triangles square straight edge subtracted surface Symns tangent THEOREM timber transverse axis triangle ABC vault vertex wherefore
Pasajes populares
Página 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 20 - 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'.
Página 51 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Página 15 - 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.
Página 15 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 28 - ... angles of another, the third angles will also be equal, and the two triangles will be mutually equiangular. Cor.
Página 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 80 - The sine of an arc is a straight line drawn from one extremity of the arc perpendicular to the radius passing through the other extremity. The tangent of an arc is a straight line touching the arc at one extremity, and limited by the radius produced through the other extremity.
Página 28 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Página 22 - The perpendicular is the shortest line that can be drawn from a point to a straight line.