Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 98.
Σελίδα 53
... unit of measure- ment , whatever that may be , 5 times ; and let B be another magnitude , of the same kind , containing the same unit 3 times ; then the ratio of A to B will be that of 5 to 3. In this case A may be said to contain B ...
... unit of measure- ment , whatever that may be , 5 times ; and let B be another magnitude , of the same kind , containing the same unit 3 times ; then the ratio of A to B will be that of 5 to 3. In this case A may be said to contain B ...
Σελίδα 56
... unit of measurement three times , and BC the same unit five B b T times , ( the same proof will hold for any numbers ) , and divide AB into three equal parts , and BC into five ( 68 ) , and through the points of division draw lines ...
... unit of measurement three times , and BC the same unit five B b T times , ( the same proof will hold for any numbers ) , and divide AB into three equal parts , and BC into five ( 68 ) , and through the points of division draw lines ...
Σελίδα 60
... unit of measurement be taken as will exactly divide both AB , and B E BE ; and divide AB and BE △ into as many equal parts as they contain the unit ( 68 ) . Through the several points of division draw lines pa- rallel to AD or BC ...
... unit of measurement be taken as will exactly divide both AB , and B E BE ; and divide AB and BE △ into as many equal parts as they contain the unit ( 68 ) . Through the several points of division draw lines pa- rallel to AD or BC ...
Σελίδα 62
... in H , and EF in Ï . Then GH is the alti- tude of the parallelo- gram ABCD , and GI AK Ꮮ G the altitude of ABEF . B And ABCD shall be to ABEF as GH is to GI . Let such a lineal unit of measurement be taken as 62 GEOMETRY AS A SCIENCE .
... in H , and EF in Ï . Then GH is the alti- tude of the parallelo- gram ABCD , and GI AK Ꮮ G the altitude of ABEF . B And ABCD shall be to ABEF as GH is to GI . Let such a lineal unit of measurement be taken as 62 GEOMETRY AS A SCIENCE .
Σελίδα 63
... unit . Through the several points of 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 ...
... unit . Through the several points of 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 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.