An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 páginas |
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Página 2
... termed a plumb - line , and its direction is said to be vertical . 2. A straight line is usually designated by two letters placed at its extremities , as the line A B , for example ( fig . 4. ) B Fig . 4 . 3. Take now a smooth board ...
... termed a plumb - line , and its direction is said to be vertical . 2. A straight line is usually designated by two letters placed at its extremities , as the line A B , for example ( fig . 4. ) B Fig . 4 . 3. Take now a smooth board ...
Página 3
... termed a horizontal plane . A straight line lying in such a plane is termed a horizontal line . 7. Take now the drawing - board and partly immerse it in water , the line A B ( fig . 5 ) which separates the part immersed from the part ...
... termed a horizontal plane . A straight line lying in such a plane is termed a horizontal line . 7. Take now the drawing - board and partly immerse it in water , the line A B ( fig . 5 ) which separates the part immersed from the part ...
Página 5
... termed a unit or measure , and the process is termed measuring . The standard unit of length used in England is the yard , which is the length of a straight line joining two marks on a bar of metal preserved in the Houses of Parliament ...
... termed a unit or measure , and the process is termed measuring . The standard unit of length used in England is the yard , which is the length of a straight line joining two marks on a bar of metal preserved in the Houses of Parliament ...
Página 9
... termed an angle ( fig . 14 ) . The extent of the angle depends on the amount of revolution required to form it , and not upon the length of the threads . Si- milarly when any two lines pass through the same Fig . 14 . point , they ...
... termed an angle ( fig . 14 ) . The extent of the angle depends on the amount of revolution required to form it , and not upon the length of the threads . Si- milarly when any two lines pass through the same Fig . 14 . point , they ...
Página 10
... termed right - angles . 18. Each side of a right - angle is said to be perpen- dicular to the other . 19. There is evidently only one position of the line CO such that the angles which it makes with A A ' at the point O are right ...
... termed right - angles . 18. Each side of a right - angle is said to be perpen- dicular to the other . 19. There is evidently only one position of the line CO such that the angles which it makes with A A ' at the point O are right ...
Otras ediciones - Ver todas
An Elementary Course of Plane Geometry and Mensuration Richard Wormell Sin vista previa disponible - 2015 |
Términos y frases comunes
A B C angle applied axis base bisect called centre chord circumference coincide compasses construction contained corresponding describe describe a circle determine diagonals diameter difference direction distance divide division draw drawn equal equilateral triangle equivalent evident example extremities fall figure Find the area fixed formed four Geometry give given circle given point given straight line greater half height Hence hexagon hypothenuse included inscribed intersection isosceles join length less mark means measure meet method middle point number of sides obtained opposite sides parallel parallelogram pass pentagon perpendicular placed plane position problem produced proportional Prove radii radius ratio rectangle regular polygon represents respectively right-angles round ruler segments sides similar square star Suppose surface symmetrical tangent termed third touch triangle twice unit vertical whole yard
Pasajes populares
Página 33 - Any two sides of a triangle are together greater than the third side.
Página 266 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Página vi - In my own time," says Seneca, "there have been inventions of this sort, transparent windows, tubes for diffusing warmth equally through all parts of a building, short-hand, which has been carried to such a perfection that a writer can keep pace with the most rapid speaker. But the inventing of such things is drudgery for the lowest slaves; philosophy lies deeper. It is not her office to teach men how to use their hands.
Página 59 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 146 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Página 153 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Página 68 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Página 86 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts.
Página 264 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Página 11 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.