Inventional Geometry: A Series of Problems, Intended to Familiarize the Pupil with Geometrical Conceptions, and to Exercise His Inventive FacultyD. Appleton, 1876 - 97 páginas |
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Página 70
... sine of the complement of an arc is called the co - sine of that arc . 304. Show by a figure that the co - sine of the arc of 35 ° is equal to the sine of 55 ° . 305. Given alone the distance between the parallel sides of a regular ...
... sine of the complement of an arc is called the co - sine of that arc . 304. Show by a figure that the co - sine of the arc of 35 ° is equal to the sine of 55 ° . 305. Given alone the distance between the parallel sides of a regular ...
Página 72
... shall be half the base ? 319. Can you determine the size of an ob tuse angle by the line of sines ? 320. Can you show by a figure that 2 is con tained in 3 1 time ? 321. Can you show that the sine of an arc 72 INVENTIONAL GEOMETRY .
... shall be half the base ? 319. Can you determine the size of an ob tuse angle by the line of sines ? 320. Can you show by a figure that 2 is con tained in 3 1 time ? 321. Can you show that the sine of an arc 72 INVENTIONAL GEOMETRY .
Página 73
... sine of an arc is half the chord of double the arc ! 322. Take an inch to represent a foot , and make a scale of ... sine and the extrem ity of the arc is called the versed sine of 7 INVENTIONAL GEOMETRY . 13 321. Can you show that the ...
... sine of an arc is half the chord of double the arc ! 322. Take an inch to represent a foot , and make a scale of ... sine and the extrem ity of the arc is called the versed sine of 7 INVENTIONAL GEOMETRY . 13 321. Can you show that the ...
Página 74
... sine of that arc . 328. Give an example of the versed sine of an arc . 329. Beginning at a point in a line , can you arrange the versed sines of all the degrees from 1 ° to 90 ° ? i . e . , can you make a line of versed sines ? 330 ...
... sine of that arc . 328. Give an example of the versed sine of an arc . 329. Beginning at a point in a line , can you arrange the versed sines of all the degrees from 1 ° to 90 ° ? i . e . , can you make a line of versed sines ? 330 ...
Página 75
... sine , and co - sine , and the versed sine . 338. Given the sine of an arc , exactly one- fourth of the radius of that arc ; it is required , by the protractor , to determine in degrees the length of such arc . The tetrahedron , the ...
... sine , and co - sine , and the versed sine . 338. Given the sine of an arc , exactly one- fourth of the radius of that arc ; it is required , by the protractor , to determine in degrees the length of such arc . The tetrahedron , the ...
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Términos y frases comunes
adjacent angles AMERICAN BOOK COMPANY angular points arc is called arithmetic mean arrange the surfaces axis base boundaries breadth card a hollow circumference construct cube curve determine diagonal scale diameter dimensions distance divide a circle divide a line divide an equilateral dodecagon duodecimals ellipse English equal and similar equal sectors equilateral triangle essays find the area four equal geometry Give a plan give a sketch Give an example gles hexahedron icosahedron isosceles triangle length line drawn line of chords line of sines line of tangents means nonagon number of degrees obtuse angle octagon octahedron pentagon piece of card place a circle place a hexagon place a square polygon protractor pupil pyramid quadrant quadrilaterals radii radius rectangle reëntrant angle rhomboid rhombus right angle right-angled triangle secant sides is called solid square inches square yard student takes the name tetrahedron trapezium versed sine Wellesley College write its name zoid
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Página 43 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.
Página 13 - I keep the subject constantly before me, and wait till the first dawnings open slowly by little and little into a full and clear light.
Página 5 - INTRODUCTION. it is considered that by geometry the architect constructs our buildings, the civil engineer our railways; that by a higher kind of geometry, the surveyor makes a map of a county or of a kingdom; that a geometry still higher is the foundation of the noble science of...