# Assignment: Triangulation

## Assignment: Triangulation

Assignment: Triangulation

Triangulation point signed by iron rod

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Assignment: Triangulation
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In  and , triangulation is the process of determining the location of a point by forming  to it from known points.

Specifically in ,  per se involves only  measurements, rather than measuring distances to the point directly as in ; the use of both angles and distance measurements is referred to as .

Applications

systems use this principle to determine the spatial dimensions and the geometry of an item. Basically, the configuration consists of two sensors observing the item. One of the sensors is typically a digital camera device, and the other one can also be a camera or a light projector. The projection centers of the sensors and the considered point on the object’s surface define a (spatial) triangle. Within this triangle, the distance between the sensors is the base b and must be known. By determining the angles between the projection rays of the sensors and the basis, the intersection point, and thus the 3D coordinate, is calculated from the triangular relations.

History

Triangulation today is used for many purposes, including , , , , ,  and gun direction of .

The use of triangles to estimate distances dates to antiquity. In the 6th century BC, about 250 years prior to the establishment of the , the Greek philosopher  is recorded as using  to estimate the height of the  of . He measured the length of the pyramids’ shadows and that of his own at the same moment, and compared the ratios to his height (intercept theorem). Thales also estimated the distances to ships at sea as seen from a clifftop by measuring the horizontal distance traversed by the line-of-sight for a known fall, and scaling up to the height of the whole cliff. Such techniques would have been familiar to the ancient Egyptians. Problem 57 of the , a thousand years earlier, defines the seqt or seked as the ratio of the run to the rise of a , i.e. the reciprocal of gradients as measured today. The slopes and angles were measured using a sighting rod that the Greeks called a , the forerunner of the Arabic . A detailed contemporary collection of constructions for the determination of lengths from a distance using this instrument is known, the Dioptra of  (c. 10–70 AD), which survived in Arabic translation; but the knowledge became lost in Europe. In China,  (224–271) identified “measuring right angles and acute angles” as the fifth of his six principles for accurate map-making, necessary to accurately establish distances, while  (c. 263) gives a version of the calculation above, for measuring perpendicular distances to inaccessible places.

Assignment: Triangulation

DQ 2

One increases the statistical power of a quantitative study by increasing the sample size. This reduces the chance that a real effect (rather than an apparent effect brought about by sampling variability) will be overlooked. Does triangulation offer the qualitative methodologist who is conducting a grounded theory or narrative inquiry study a similar reduction in the likelihood of overlooking important results? Why or why not?

[250 words required, 3 In text APA Citations & 3 APA References. Original Writing only]

Discussion Questions (DQ)

• Initial responses to the DQ should address all components of the questions asked, include a minimum of one scholarly source, and be at least 250 words.
• Successful responses are substantive (i.e., add something new to the discussion, engage others in the discussion, well-developed idea) and include at least one scholarly source.
• One or two sentence responses, simple statements of agreement or “good post,” and responses that are off-topic will not count as substantive. Substantive responses should be at least 150 words.
• I encourage you to incorporate the readings from the week (as applicable) into your responses.

Weekly Participation

• Your initial responses to the mandatory DQ do not count toward participation and are graded separately.
• In addition to the DQ responses, you must post at least one reply to peers (or me) on three separate days, for a total of three replies.
• Participation posts do not require a scholarly source/citation (unless you cite someone else’s work).
• Part of your weekly participation includes viewing the weekly announcement and attesting to watching it in the comments. These announcements are made to ensure you understand everything that is due during the week.

APA Format and Writing Quality

• Familiarize yourself with APA format and practice using it correctly. It is used for most writing assignments for your degree. Visit the Writing Center in the Student Success Center, under the Resources tab in LoudCloud for APA paper templates, citation examples, tips, etc. Points will be deducted for poor use of APA format or absence of APA format (if required).
• Cite all sources of information! When in doubt, cite the source. Paraphrasing also requires a citation.
• I highly recommend using the APA Publication Manual, 6th edition.

Use of Direct Quotes

• I discourage overutilization of direct quotes in DQs and assignments at the Masters’ level and deduct points accordingly.
• As Masters’ level students, it is important that you be able to critically analyze and interpret information from journal articles and other resources. Simply restating someone else’s words does not demonstrate an understanding of the content or critical analysis of the content.
• It is best to paraphrase content and cite your source.

Assignment: Triangulation

LopesWrite Policy

• For assignments that need to be submitted to LopesWrite, please be sure you have received your report and Similarity Index (SI) percentage BEFORE you do a “final submit” to me.
• Once you have received your report, please review it. This report will show you grammatical, punctuation, and spelling errors that can easily be fixed. Take the extra few minutes to review instead of getting counted off for these mistakes.
• Review your similarities. Did you forget to cite something? Did you not paraphrase well enough? Is your paper made up of someone else’s thoughts more than your own?
• Visit the Writing Center in the Student Success Center, under the Resources tab in LoudCloud for tips on improving your paper and SI score.

Late Policy

• The university’s policy on late assignments is 10% penalty PER DAY LATE. This also applies to late DQ replies.
• Please communicate with me if you anticipate having to submit an assignment late. I am happy to be flexible, with advance notice. We may be able to work out an extension based on extenuating circumstances.
• If you do not communicate with me before submitting an assignment late, the GCU late policy will be in effect.
• I do not accept assignments that are two or more weeks late unless we have worked out an extension.
• As per policy, no assignments are accepted after the last day of class. Any assignment submitted after midnight on the last day of class will not be accepted for grading.

Communication

• Communication is so very important. There are multiple ways to communicate with me:
• Questions to Instructor Forum: This is a great place to ask course content or assignment questions. If you have a question, there is a good chance one of your peers does as well. This is a public forum for the class.
• Individual Forum: This is a private forum to ask me questions or send me messages. This will be checked at least once every 24 hours.

Assignment: Triangulation

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