Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 páginas |
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Página 18
... base of a triangle , one of the angles at the base , and the sum of the other two sides , to construct the triangle . Construction . Make AB equal to the given base ; draw AC , making the angle BAC equal to the given angle , and AC ...
... base of a triangle , one of the angles at the base , and the sum of the other two sides , to construct the triangle . Construction . Make AB equal to the given base ; draw AC , making the angle BAC equal to the given angle , and AC ...
Página 20
... base are equal ; or , if a triangle have two sides equal , the angles opposite those sides will be equal . If the triangle ABC have the side AC equal to the side BC , then will the angle B be equal to the angle A. A D B For , conceive ...
... base are equal ; or , if a triangle have two sides equal , the angles opposite those sides will be equal . If the triangle ABC have the side AC equal to the side BC , then will the angle B be equal to the angle A. A D B For , conceive ...
Página 28
... base AB ( Prop . v , Cor . 1 ) . PROPOSITION XIV . PROBLEM . From a given point A without a given line BC , to draw a line perpendicular to BC . With A as a centre , with any convenient radius , describe an arc ( Post . III ) cutting BC ...
... base AB ( Prop . v , Cor . 1 ) . PROPOSITION XIV . PROBLEM . From a given point A without a given line BC , to draw a line perpendicular to BC . With A as a centre , with any convenient radius , describe an arc ( Post . III ) cutting BC ...
Página 29
... base DF ( Prop . v , Cor . 1 ) . ( 29. ) Let ABC be a triangular field , and S a well within it ; it is required to divide the field into two parts by a line passing through S , so that the distances A AF , AG shall be equal . G K L B F ...
... base DF ( Prop . v , Cor . 1 ) . ( 29. ) Let ABC be a triangular field , and S a well within it ; it is required to divide the field into two parts by a line passing through S , so that the distances A AF , AG shall be equal . G K L B F ...
Página 44
... base and perpen- dicular . 2. The base of any rectilineal figure , is the side on which the figure is supposed to stand . 3. The altitude of a triangle is the perpendicular drawn from the vertex to the oppo- A D B B D site side , or ...
... base and perpen- dicular . 2. The base of any rectilineal figure , is the side on which the figure is supposed to stand . 3. The altitude of a triangle is the perpendicular drawn from the vertex to the oppo- A D B B D site side , or ...
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Términos y frases comunes
a+b+c AC² altitude angle ACD angle BAC bisect centre chord circ circular sector circumference cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed four right angles given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel planes parallelogram parallelopipedon pendicular perimeter perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right angles right-angled triangle Sabc Schol Scholium semicircle semicircumference side AC similar similar triangles solid angle solid described sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Pasajes populares
Página 37 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Página 180 - THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane.
Página 139 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Página 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Página 43 - In a right-angled triangle, the side opposite the right angle is" called the Hypothenuse ; and the other two sides are cal4ed the Legs, and sometimes the Base and Perpendicular.
Página 184 - THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel.
Página 10 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Página 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Página 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Página 12 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.