Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 páginas |
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Página 56
... division draw lines parallel to BE intersecting DE , and EF : then DE will be di- vided by these parallels into the same number of equal parts as AB , and EF into the same number as BC ( 67 ) , that is , DE will contain a certain line ...
... division draw lines parallel to BE intersecting DE , and EF : then DE will be di- vided by these parallels into the same number of equal parts as AB , and EF into the same number as BC ( 67 ) , that is , DE will contain a certain line ...
Página 60
... division draw lines pa- rallel to AD or BC , dividing ABCD into as many pa- rallelograms as the unit is contained in AB , and BEFC into as many as the unit is contained in BE . Then since parallelograms upon equal bases and between the ...
... division draw lines pa- rallel to AD or BC , dividing ABCD into as many pa- rallelograms as the unit is contained in AB , and BEFC into as many as the unit is contained in BE . Then since parallelograms upon equal bases and between the ...
Página 63
... division draw lines parallel to AB , dividing ABCD into as many parallelo- grams as the unit is contained in GH , and ABEF into as many as the unit is contained in GI . These smaller parallelograms are obviously all equal to one another ...
... division draw lines parallel to AB , dividing ABCD into as many parallelo- grams as the unit is contained in GH , and ABEF into as many as the unit is contained in GI . These smaller parallelograms are obviously all equal to one another ...
Página 70
... division in AB and CD , so that the arc AB is divided into 5 equal parts , CD into 3 equal parts , and also the angles AED , CFD , into 5 and 3 equal angles , respectively , since equal arcs in the same circle , or in equal circles ...
... division in AB and CD , so that the arc AB is divided into 5 equal parts , CD into 3 equal parts , and also the angles AED , CFD , into 5 and 3 equal angles , respectively , since equal arcs in the same circle , or in equal circles ...
Página 94
... division being marked by lines across the face of the ruler . The common foot - rule is an example of a Scale of Equal Parts , its length being divided into 12 equal parts called inches , and each inch into parts of an inch . This ...
... division being marked by lines across the face of the ruler . The common foot - rule is an example of a Scale of Equal Parts , its length being divided into 12 equal parts called inches , and each inch into parts of an inch . This ...
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Términos y frases comunes
ABCDEF acres base bisect breadth centre chain chord circular circum circumference circumscribing circle compasses construction contained continued fraction curved decimal Diagonal Scale diagram diameter distance divided draw drawn edge equilateral triangle find the area find the length fraction frustum given angle given circle given line given point given straight line given triangle half height Hence hexagon inscribed instrument intersecting join Let ABCD lineal unit magnitude meet multiplied number of equal number of sides number of units opposite angle parallelogram perimeter perpendicular plane surface plot points of division PROB produced PROP proportional Protractor radii radius ratio rectangle rectangular regular polygon represent right angles shew shewn similar similar triangles square feet square foot square inches straight edge subtends suppose trapezium triangle ABC vernier vertex whole yards
Pasajes populares
Página 32 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Página 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
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 32 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.
Página 43 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 17 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 22 - Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make...
Página 192 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Página 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.